Octave 3.8, jcobi/2

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze49.0ms (0.4%)

Memory
26.0MiB live, 62.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%28.1%71.9%0%0%0%0
0%0%28.1%71.9%0%0%0%1
0%0%28.1%71.9%0%0%0%2
25%7%21.1%71.9%0%0%0%3
62.5%17.5%10.5%71.9%0%0%0%4
75%21.1%7%71.9%0%0%0%5
81.3%22.8%5.3%71.9%0%0%0%6
82.8%23.2%4.8%71.9%0%0%0%7
83.6%23.5%4.6%71.9%0%0%0%8
87.1%24.5%3.6%71.9%0%0%0%9
89.1%25%3.1%71.9%0%0%0%10
91.5%25.7%2.4%71.9%0%0%0%11
93.6%26.3%1.8%71.9%0%0%0%12
Compiler

Compiled 41 to 23 computations (43.9% saved)

sample1.8s (14.5%)

Memory
49.8MiB live, 2 795.3MiB allocated
Samples
920.0ms6 570×0valid
286.0ms1 255×1valid
137.0ms431×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-add: 322.0ms (31% of total)
ival-div: 210.0ms (20.2% of total)
ival-mult: 181.0ms (17.4% of total)
ival->: 124.0ms (11.9% of total)
adjust: 84.0ms (8.1% of total)
ival-sub: 81.0ms (7.8% of total)
exact: 18.0ms (1.7% of total)
ival-and: 16.0ms (1.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain241.0ms (2%)

Memory
-10.6MiB live, 358.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-1(-8.684676983945586e-162 3.340629086238114e-274 5.01015090264562e-296)(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
551(4376966403106838.0 2.485654040973551e-29 3275045444089.2847)0-(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
00-0-alpha
00-0-(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
00-0-(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
00-0-#s(literal 2 binary64)
00-0-i
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
00-0-(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-(-.f64 beta alpha)
00-0-(*.f64 #s(literal 2 binary64) i)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))o/n860
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))overflow86
+.f64(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation560
Confusion
Predicted +Predicted -
+1050
-0151
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10500
-00151
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0151
168
237
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms410×0valid
12.0ms62×1valid
12.0ms40×2valid
Compiler

Compiled 302 to 49 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 12.0ms (29.9% of total)
ival-add: 12.0ms (29.9% of total)
ival-mult: 7.0ms (17.4% of total)
adjust: 5.0ms (12.4% of total)
ival-sub: 3.0ms (7.5% of total)
ival-true: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess315.0ms (2.6%)

Memory
27.6MiB live, 370.3MiB allocated
Algorithm
egg-herbie
Rules
16 848×lower-fma.f64
16 848×lower-fma.f32
3 846×lower-+.f32
3 838×lower-+.f64
3 552×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069269
1186263
2682263
33464261
01529
02529
14329
211829
348629
4236829
5381329
6510929
0808326
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 32 to 15 computations (53.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.2%
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 32 to 15 computations (53.1% saved)

simplify329.0ms (2.7%)

Memory
13.4MiB live, 363.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff128
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff128
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff384
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Rules
16 848×lower-fma.f64
16 848×lower-fma.f32
3 846×lower-+.f32
3 838×lower-+.f64
3 552×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015133
025133
143133
2118133
3486133
42368133
53813133
65109133
08083122
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
i
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 alpha beta)))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
i
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
#s(literal 1 binary64)

localize67.0ms (0.5%)

Memory
-29.9MiB live, 89.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 2 binary64) i)
accuracy0.09212875976844201
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy12.379564786158578
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy21.063722630084804
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
Samples
33.0ms205×0valid
6.0ms31×1valid
6.0ms20×2valid
Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 18.0ms (52.9% of total)
ival-div: 6.0ms (17.6% of total)
ival-add: 6.0ms (17.6% of total)
adjust: 2.0ms (5.9% of total)
ival-sub: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.4%)

Memory
32.0MiB live, 104.5MiB allocated
Counts
6 → 192
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) i) (patch (*.f64 #s(literal 2 binary64) i) #<representation binary64>) () ())
Outputs
#s(alt (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (taylor 0 alpha) (#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf alpha) (#s(alt (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (patch (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

48 calls:

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

simplify338.0ms (2.8%)

Memory
-10.8MiB live, 542.1MiB allocated
Algorithm
egg-herbie
Rules
6 196×lower-*.f64
6 196×lower-*.f32
6 142×lower-fma.f64
6 142×lower-fma.f32
5 244×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093312962
1316911337
0884010203
Stop Event
iter limit
node limit
Counts
192 → 186
Calls
Call 1
Inputs
(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(/ (pow beta 2) (+ beta (* 2 i)))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
(* 2 i)
Outputs
(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
(+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 alpha (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 alpha (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (neg.f64 alpha)) (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
(+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 alpha (+.f64 (/.f64 beta (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 (fma.f64 alpha (-.f64 (*.f64 alpha (-.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (-.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 beta (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (/.f64 beta (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))) (/.f64 beta (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (neg.f64 alpha)))
(- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
(-.f64 (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (neg.f64 alpha)))))
(- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
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(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
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(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
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(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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(/ (pow beta 2) (+ beta (* 2 i)))
(/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))
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(* -1 alpha)
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(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
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(* -1 alpha)
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(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
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(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
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(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
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(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (*.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(fma.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) beta #s(literal 0 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (*.f64 beta (+.f64 (-.f64 (+.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (-.f64 (fma.f64 beta (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) beta #s(literal 0 binary64))) (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(*.f64 beta (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 i #s(literal -2 binary64)) beta)))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(*.f64 beta (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 beta beta)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(+.f64 beta (*.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (fma.f64 alpha (neg.f64 alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta (*.f64 beta beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha))) (*.f64 beta beta)))) beta))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(neg.f64 (fma.f64 beta (/.f64 (+.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) (/.f64 (fma.f64 alpha (neg.f64 alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) beta)) (neg.f64 beta)) (neg.f64 beta)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(neg.f64 (fma.f64 beta (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 alpha (neg.f64 alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) beta) (fma.f64 alpha (neg.f64 alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (neg.f64 beta)) (fma.f64 #s(literal 2 binary64) i alpha)) (neg.f64 beta)) (neg.f64 beta)))
(- beta alpha)
(-.f64 beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 i (-.f64 beta alpha)) (+.f64 beta alpha)) beta) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(-.f64 (fma.f64 i (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 i (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) beta) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(-.f64 (fma.f64 i (fma.f64 i (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 i (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) beta) alpha)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) i)
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 i i)) (fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i)))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64))) (*.f64 i (*.f64 i i))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i) (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 i i)) #s(literal -1/8 binary64))))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) i)
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (neg.f64 i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) i)) (*.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -1/4 binary64))) i)) (neg.f64 i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i)) (*.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -1/8 binary64))) (neg.f64 i)) (*.f64 (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -1/4 binary64))) i)) (neg.f64 i))
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)
(* 2 i)
(*.f64 #s(literal 2 binary64) i)

rewrite521.0ms (4.3%)

Memory
-6.8MiB live, 494.4MiB allocated
Rules
5 612×lower-/.f32
5 606×lower-/.f64
5 576×lower-*.f32
5 572×lower-*.f64
3 560×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015106
025106
1125106
21197106
0870796
Stop Event
iter limit
node limit
iter limit
Counts
6 → 305
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(*.f64 #s(literal 2 binary64) i)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (neg.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 alpha alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))))
(neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (-.f64 beta alpha)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 beta alpha)) (*.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))) (neg.f64 (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(/.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 alpha beta))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 1 binary64))) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (-.f64 beta alpha))) (neg.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 beta alpha))) (neg.f64 (*.f64 (-.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) (neg.f64 (-.f64 alpha beta)))
(pow.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(*.f64 (neg.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha beta))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (fma.f64 #s(literal 8 binary64) (*.f64 i (*.f64 i i)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (fma.f64 #s(literal 8 binary64) (*.f64 i (*.f64 i i)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)))))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (+.f64 alpha (-.f64 beta (*.f64 #s(literal 2 binary64) i))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta (*.f64 #s(literal 2 binary64) i))))))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 8 binary64) (*.f64 i (*.f64 i i)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (+.f64 alpha beta) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)))))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 (+.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta (*.f64 #s(literal 2 binary64) i))))))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta (*.f64 #s(literal 2 binary64) i))))))
(*.f64 (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 8 binary64) (*.f64 i (*.f64 i i)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)))))))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 (/.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 alpha beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) #s(literal -1 binary64)) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 (/.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))

eval143.0ms (1.2%)

Memory
0.8MiB live, 154.5MiB allocated
Compiler

Compiled 31 496 to 2 377 computations (92.5% saved)

prune158.0ms (1.3%)

Memory
-2.2MiB live, 199.2MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New56516581
Fresh000
Picked101
Done000
Total56616582
Accuracy
100.0%
Counts
582 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
61.3%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
80.4%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
80.4%
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
39.5%
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.5%
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
21.1%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)) #s(literal 2 binary64))
61.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
16.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (*.f64 alpha alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))))) alpha))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
21.2%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
68.2%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
33.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
60.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Compiler

Compiled 1 296 to 480 computations (63% saved)

simplify281.0ms (2.3%)

Memory
10.2MiB live, 318.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
cost-diff128
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))
cost-diff192
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
cost-diff768
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff128
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff128
(neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))
cost-diff1024
(*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
cost-diff128
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
cost-diff512
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
cost-diff0
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff704
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
Rules
12 192×lower-fma.f32
12 182×lower-fma.f64
4 118×lower-*.f32
4 104×lower-*.f64
2 748×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061867
0102840
1195838
2516800
32426791
47258767
08162737
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
alpha
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
beta
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(+.f64 alpha beta)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(-.f64 beta alpha)
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(fma.f64 #s(literal 2 binary64) i beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
#s(literal 2 binary64)
(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
beta
(*.f64 i #s(literal 4 binary64))
i
#s(literal 4 binary64)
#s(literal 1/2 binary64)
alpha
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))))
(neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))
(*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
alpha
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
beta
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 alpha beta)
(*.f64 #s(literal 2 binary64) i)
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)) #s(literal 2 binary64))
#s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha))
(/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
#s(literal 0 binary64)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta beta)
beta
alpha
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
#s(literal 2 binary64)
(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
(*.f64 i #s(literal 4 binary64))
i
#s(literal 4 binary64)
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha)
(*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))
(-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) i beta)
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
Outputs
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
alpha
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
beta
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(+.f64 alpha beta)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(-.f64 beta alpha)
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(fma.f64 #s(literal 2 binary64) i beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
(fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
beta
(*.f64 i #s(literal 4 binary64))
i
#s(literal 4 binary64)
#s(literal 1/2 binary64)
alpha
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))
(neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))
(-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
alpha
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
beta
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 alpha beta)
(*.f64 #s(literal 2 binary64) i)
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 beta (/.f64 beta alpha) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha))))) alpha)) #s(literal 2 binary64))
#s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha))
#s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 beta (/.f64 beta alpha) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha))))) alpha))
(/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)
(/.f64 (fma.f64 beta (/.f64 beta alpha) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha))))) alpha)
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))
(fma.f64 beta (/.f64 beta alpha) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha)))))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
(/.f64 (*.f64 beta beta) alpha)
#s(literal 0 binary64)
(/.f64 (*.f64 beta beta) alpha)
(*.f64 beta beta)
beta
alpha
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha) (*.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(fma.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
(fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)))
#s(literal 2 binary64)
(fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))
(*.f64 i #s(literal 4 binary64))
i
#s(literal 4 binary64)
(/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha)
(/.f64 (fma.f64 beta #s(literal 2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha)
(*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) i beta)
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)

localize266.0ms (2.2%)

Memory
27.9MiB live, 340.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy10.368002045179361
(/.f64 (*.f64 beta beta) alpha)
accuracy12.328054818227011
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))
accuracy27.994255762865464
(fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
accuracy49.997993644797404
#s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha))
accuracy0.09212875976844201
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy12.379564786158578
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy14.762387879219473
(*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
accuracy25.34931177483619
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))))
accuracy0.00390625
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
accuracy0.03125
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
accuracy0.1917296231936959
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
accuracy49.197660187069154
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
accuracy25.195530322615877
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy0.033535009768442016
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy0.08984375
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
accuracy0.21636160103208107
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
accuracy12.556161962423218
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
Samples
81.0ms205×0valid
24.0ms20×2valid
21.0ms31×1valid
Compiler

Compiled 756 to 53 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-add: 33.0ms (36% of total)
ival-div: 20.0ms (21.8% of total)
ival-mult: 18.0ms (19.6% of total)
adjust: 12.0ms (13.1% of total)
ival-sub: 6.0ms (6.5% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series156.0ms (1.3%)

Memory
-2.1MiB live, 242.9MiB allocated
Counts
24 → 816
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (patch (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (patch (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha) (taylor inf alpha) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

204 calls:

TimeVariablePointExpression
21.0ms
alpha
@inf
(/ 1 (+ alpha (+ beta (+ (* 2 i) 2))))
6.0ms
i
@0
(- (+ (* (+ 2 (+ (* beta 2) (* i 4))) (/ (+ 2 (+ (* beta 2) (* i 4))) alpha)) (* (- -2 (+ (* 2 i) beta)) (/ (+ (* 2 i) beta) alpha))) (+ 2 (+ (* beta 2) (* i 4))))
4.0ms
beta
@inf
(* alpha (- 1 (/ (+ (* 2 i) beta) alpha)))
3.0ms
i
@inf
(/ 1 (+ alpha (+ beta (+ (* 2 i) 2))))
3.0ms
beta
@-inf
(* alpha (- 1 (/ (+ (* 2 i) beta) alpha)))

simplify487.0ms (4%)

Memory
-25.7MiB live, 811.4MiB allocated
Algorithm
egg-herbie
Rules
5 356×lower-fma.f64
5 356×lower-fma.f32
5 116×lower-*.f64
5 116×lower-*.f32
4 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168642413
1565237347
0861433739
Stop Event
iter limit
node limit
Counts
816 → 798
Calls
Call 1
Inputs
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) (+ 2 (* 4 i)))
(- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (- (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))) 2)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (+ 2 (* 4 i)))
(- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (- (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (+ (* 3 (/ beta alpha)) (* 4 (/ (+ 2 (* 4 i)) alpha)))) 2)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (+ 2 (* 4 i)))
(- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (- (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (+ (* 3 (/ beta alpha)) (* 4 (/ (+ 2 (* 4 i)) alpha)))) 2)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) (+ 2 (* 4 i)))
(* 3 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (* 3 (/ 1 alpha)))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))) (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* (pow beta 2) (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))) (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))))
(* 3 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (* 3 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) (+ 2 (* 4 i))) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 3 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) (+ 2 (* 4 i))) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 3 (/ 1 alpha))))
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ 2 (* 2 beta)))
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))) 4)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (+ 2 (* 2 beta)))
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (+ (* 8 (/ (+ 2 (* 2 beta)) alpha)) (* 12 (/ i alpha)))) 4)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (+ 2 (* 2 beta)))
(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (- (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (+ (* 8 (/ (+ 2 (* 2 beta)) alpha)) (* 12 (/ i alpha)))) 4)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) (+ 2 (* 2 beta)))
(* 12 (/ (pow i 2) alpha))
(* (pow i 2) (- (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (* 12 (/ 1 alpha)))) (* 4 (/ 1 i))))
(* (pow i 2) (- (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2))))))) (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2))))))
(* (pow i 2) (- (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2))))))) (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (/ 2 (pow i 2))))))
(* 12 (/ (pow i 2) alpha))
(* (pow i 2) (+ (* -1 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (+ (* -1 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ 2 (* 2 beta))) i)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (+ (* -1 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ 2 (* 2 beta))) i)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (+ (* -1 (* alpha (+ 2 (+ (* 2 beta) (* 4 i))))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(* -1 (+ 2 (+ (* 2 beta) (* 4 i))))
(- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(* -1 (+ 2 (+ (* 2 beta) (* 4 i))))
(- (* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(- (* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(- (* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ 2 (+ (* 2 beta) (* 4 i))))
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(- (+ 2 (+ (* 4 i) (* beta (- 2 (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(- (+ 2 (+ (* 4 i) (* beta (- (+ 2 (* -2 (/ beta alpha))) (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(- (+ 2 (+ (* 4 i) (* beta (- (+ 2 (* -2 (/ beta alpha))) (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha))))))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(* -2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* 2 (/ 1 beta)) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ (+ 2 (* 4 i)) (* alpha beta)))))))
(* (pow beta 2) (- (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2)))))))))
(* (pow beta 2) (- (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2)))))))))
(* -2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta))))) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta)) (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta)) (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 2 (/ 1 alpha))))
(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(+ 2 (+ (* 2 beta) (* 4 i)))
(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
(+ 2 (+ (* 2 beta) (* 4 i)))
(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
(- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(- (+ 2 (+ (* 2 beta) (+ (* i (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(- (+ 2 (+ (* 2 beta) (+ (* i (- (+ 4 (* -12 (/ i alpha))) (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(- (+ 2 (+ (* 2 beta) (+ (* i (- (+ 4 (* -12 (/ i alpha))) (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (* 4 (/ 1 i)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (* 12 (/ 1 alpha))))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (+ (/ 2 (pow i 2)) (/ (pow beta 2) (* alpha (pow i 2)))))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))))
(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (+ (/ 2 (pow i 2)) (/ (pow beta 2) (* alpha (pow i 2)))))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))))
(* -12 (/ (pow i 2) alpha))
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (+ (* 2 (/ (+ 2 beta) (* alpha i))) (* 4 (/ 1 i))))) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i)) (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i)) (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
(/ (pow beta 2) (+ beta (* 2 i)))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ alpha (+ alpha (* 2 i))))
(+ (* -1 (/ alpha (+ alpha (* 2 i)))) (* beta (- (/ 1 (+ alpha (* 2 i))) (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ alpha (+ alpha (* 2 i)))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i)))) (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ alpha (+ alpha (* 2 i)))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (* beta (- (/ 1 (pow (+ alpha (* 2 i)) 3)) (* -1 (/ alpha (pow (+ alpha (* 2 i)) 4)))))) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i)))) (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 3)))) (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 i)))) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i)))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 i)))) (* -1 (/ (+ (* -1 (* (+ alpha (* 2 i)) (- (* -1 alpha) (+ alpha (* 2 i))))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 alpha) (+ alpha (* 2 i)))) beta)) beta))) beta)))
(/ beta (+ beta (* 2 i)))
(+ (* -1 (* alpha (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))))) (/ beta (+ beta (* 2 i))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))) (+ beta (* 2 i))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))))) (/ beta (+ beta (* 2 i))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ beta (* 2 i)) 3)) (/ beta (pow (+ beta (* 2 i)) 4))))) (* -1 (/ (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))) (+ beta (* 2 i)))))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2))))) (/ beta (+ beta (* 2 i))))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))))
(- (+ (* -1 (/ (* (+ beta (* 2 i)) (- beta (* -1 (+ beta (* 2 i))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- beta (* -1 (+ beta (* 2 i))))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- beta (* -1 (+ beta (* 2 i))))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ beta (* 2 i))) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 beta) (+ beta (* 2 i)))) alpha))) (+ beta (* 2 i))) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 beta) (+ beta (* 2 i)))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 beta) (+ beta (* 2 i)))))) alpha))) (+ beta (* 2 i))) alpha)) 1)
(/ (- beta alpha) (+ alpha beta))
(- (+ (* -2 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (/ beta (+ alpha beta))) (/ alpha (+ alpha beta)))
(- (+ (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* 2 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (/ beta (+ alpha beta))) (/ alpha (+ alpha beta)))
(- (+ (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 4))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 3))))) (* 2 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (/ beta (+ alpha beta))) (/ alpha (+ alpha beta)))
(* 1/2 (/ (- beta alpha) i))
(/ (+ (* -1/4 (/ (* (+ alpha beta) (- beta alpha)) i)) (* 1/2 (- beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/2 (- beta alpha))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 3))) (* 1/2 (- beta alpha))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i)))) i)
(* 1/2 (/ (- beta alpha) i))
(* -1 (/ (+ (* -1/2 (- beta alpha)) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(/ (pow beta 2) (+ beta (* 2 i)))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (/ beta (+ beta (* 2 i)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (/ (pow beta 2) (pow (+ beta (* 2 i)) 3)) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ beta (* 2 i)))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 3))) (+ (/ 1 (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 3)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 4)))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (pow (+ beta (* 2 i)) 2))) (+ (/ 1 (+ beta (* 2 i))) (/ beta (pow (+ beta (* 2 i)) 2)))))) (/ beta (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ beta (* 2 i)) 2)))) (/ (pow beta 2) (+ beta (* 2 i))))
(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (pow beta 2)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i))))))) alpha))) (* -1 (+ beta (* 2 i)))) alpha)))))
(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 3))) (/ alpha (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 2))))) (/ 1 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
(- beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) i)) (* 1/8 (* (pow (+ alpha beta) 3) (- beta alpha)))) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (+ (* alpha (- (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
(/ (- (+ beta (+ (* -1 beta) (/ (pow beta 2) alpha))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
(+ 1 (+ (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* beta (- (+ (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
(- (+ 2 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (+ (* 2 (/ 1 beta)) (+ (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (pow beta 2)) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (pow beta 2)))))))
2
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+ 2 (* -1 (/ (- (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (/ (pow alpha 2) beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) beta)) (/ (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* -1 (/ (+ (* -1 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta))) beta)))
(- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
(- (+ 1 (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (/ beta (+ 2 (+ alpha beta))))) (/ alpha (+ 2 (+ alpha beta))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))))
1
(+ 1 (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1 (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1 (+ (* -1 (/ (- (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) i))) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3))) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))
(+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (* 4 (/ (+ 2 (* 4 i)) alpha)))) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (+ (* 3 (/ beta alpha)) (* 4 (/ (+ 2 (* 4 i)) alpha))))) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (+ (* beta (+ (* -1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))) (+ (* 3 (/ beta alpha)) (* 4 (/ (+ 2 (* 4 i)) alpha))))) (/ (pow (+ 2 (* 4 i)) 2) alpha)))
(* 3 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (* 3 (/ 1 alpha)))))
(* (pow beta 2) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))))
(* (pow beta 2) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))))
(* 3 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))) beta)) (* 3 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (* 3 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (* 3 (/ 1 alpha))))
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha)))) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (+ (* 8 (/ (+ 2 (* 2 beta)) alpha)) (* 12 (/ i alpha))))) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (+ (* i (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (+ (* 8 (/ (+ 2 (* 2 beta)) alpha)) (* 12 (/ i alpha))))) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
(* 12 (/ (pow i 2) alpha))
(* (pow i 2) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (* 12 (/ 1 alpha)))))
(* (pow i 2) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2))))))))
(* (pow i 2) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2))))))))
(* 12 (/ (pow i 2) alpha))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) i)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 12 (/ 1 alpha))))
(* (pow i 2) (+ (* -1 (/ (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) i)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))))) i)) (* 12 (/ 1 alpha))))
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
(/ (pow beta 2) alpha)
Outputs
(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))
(+ 1 (+ (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* 3 (/ (pow beta 2) alpha))
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(* (pow beta 2) (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))) (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))))
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(* (pow beta 2) (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 3 (/ 1 alpha)) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2))))))) (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2))))))
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(* 3 (/ (pow beta 2) alpha))
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 beta beta) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha))))) beta)) (* 3 (/ 1 alpha))))
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(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) (+ 2 (* 4 i))) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 3 (/ 1 alpha))))
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(* (pow beta 2) (+ (* -1 (/ (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* -1 (/ (- (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha)) (+ 2 (* 4 i))) beta)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 3 (/ 1 alpha))))
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(- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ 2 (* 2 beta)))
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(* 12 (/ (pow i 2) alpha))
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(* (pow i 2) (+ (* -1 (/ (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* -1 (/ (- (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)) (+ 2 (* 2 beta))) i)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
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(* (pow beta 2) (- (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2)))))))))
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(* (pow beta 2) (- (+ (* 4 (/ i (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))) (+ (* -2 (/ (* i (+ 2 (* 2 i))) (* alpha (pow beta 2)))) (+ (* -1 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ (+ 2 (* 4 i)) (* alpha beta))) (/ (pow (+ 2 (* 4 i)) 2) (* alpha (pow beta 2)))))))))
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(* -2 (/ (pow beta 2) alpha))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 beta beta)) alpha)
(* (pow beta 2) (- (+ (* -4 (/ (+ 2 (* 4 i)) (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta))))) (* 2 (/ 1 alpha))))
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(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta)) (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 2 (/ 1 alpha))))
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(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (* 4 i)) (+ (* -2 (/ (* i (+ 2 (* 2 i))) alpha)) (/ (pow (+ 2 (* 4 i)) 2) alpha))) beta)) (+ 2 (+ (* -4 (/ (+ 2 (* 4 i)) alpha)) (+ (* 2 (/ 1 alpha)) (* 4 (/ i alpha)))))) beta)) (* 2 (/ 1 alpha))))
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(/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
(/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)
(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(/ (- (+ (* alpha (+ 2 (+ (* 2 beta) (* 4 i)))) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2))) alpha)
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(+ 2 (+ (* 2 beta) (* 4 i)))
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(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
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(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
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(- (+ 2 (+ (* 2 beta) (+ (* 4 i) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2) alpha)))
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(+ 2 (+ (* 2 beta) (* 4 i)))
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(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
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(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
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(+ 2 (+ (* -1 (/ (- (* -1 (pow beta 2)) (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) alpha)) (+ (* 2 beta) (* 4 i))))
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(- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
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(- (+ 2 (+ (* 2 beta) (+ (* i (- 4 (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
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(- (+ 2 (+ (* 2 beta) (+ (* i (- (+ 4 (* -12 (/ i alpha))) (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
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(- (+ 2 (+ (* 2 beta) (+ (* i (- (+ 4 (* -12 (/ i alpha))) (+ (* -1 (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))) (* 8 (/ (+ 2 (* 2 beta)) alpha))))) (/ (pow beta 2) alpha)))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha)))
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(* -12 (/ (pow i 2) alpha))
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(* (pow i 2) (- (* 4 (/ 1 i)) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (* 12 (/ 1 alpha))))))
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(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (+ (/ 2 (pow i 2)) (/ (pow beta 2) (* alpha (pow i 2)))))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))))
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(* (pow i 2) (- (+ (* 2 (/ beta (pow i 2))) (+ (* 4 (/ 1 i)) (+ (/ 2 (pow i 2)) (/ (pow beta 2) (* alpha (pow i 2)))))) (+ (* -1 (/ (* beta (+ 2 beta)) (* alpha (pow i 2)))) (+ (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha))) i)) (+ (* 8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 12 (/ 1 alpha)) (/ (pow (+ 2 (* 2 beta)) 2) (* alpha (pow i 2)))))))))
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(* -12 (/ (pow i 2) alpha))
(/.f64 (*.f64 #s(literal -12 binary64) (*.f64 i i)) alpha)
(* (pow i 2) (- (+ (* -8 (/ (+ 2 (* 2 beta)) (* alpha i))) (+ (* 2 (/ beta (* alpha i))) (+ (* 2 (/ (+ 2 beta) (* alpha i))) (* 4 (/ 1 i))))) (* 12 (/ 1 alpha))))
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(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i)) (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
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(* (pow i 2) (- (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* 2 beta) (/ (pow beta 2) alpha))) (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (/ (pow (+ 2 (* 2 beta)) 2) alpha))) i)) (+ 4 (+ (* -8 (/ (+ 2 (* 2 beta)) alpha)) (+ (* 2 (/ beta alpha)) (* 2 (/ (+ 2 beta) alpha)))))) i)) (* 12 (/ 1 alpha))))
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(/ (pow beta 2) (+ beta (* 2 i)))
(/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))
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(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ beta (* 2 i)) (- (pow beta 2) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ beta (* 2 i)) alpha)) (/ (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ beta (* 2 i))))) (pow alpha 2))))))
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(* -1 alpha)
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(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ beta (* 2 i)))) alpha)))))
(neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))
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(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
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beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
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beta
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(- beta alpha)
(-.f64 beta alpha)
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(* -1 alpha)
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(* -1 (/ (pow alpha 2) (+ alpha (* 2 i))))
(neg.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (/ alpha (+ alpha (* 2 i)))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
(-.f64 (*.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)))
(+ (* -1 (/ (pow alpha 2) (+ alpha (* 2 i)))) (* beta (- (+ (* -1 (/ alpha (+ alpha (* 2 i)))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 3))) (/ 1 (+ alpha (* 2 i)))) (+ (* -1 (/ alpha (pow (+ alpha (* 2 i)) 2))) (/ alpha (pow (+ alpha (* 2 i)) 2))))) (/ alpha (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ alpha (* 2 i)) 2))))))
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beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
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(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
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(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (/ (* (+ alpha (* 2 i)) (- (* -1 alpha) (* 2 i))) (pow beta 2)))))
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beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))))))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta))))
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(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) (/ (* (+ alpha (* 2 i)) (- (* -1 (pow alpha 2)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ alpha (* 2 i)))))))) beta)) beta))) beta)) 1)))
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(- beta alpha)
(-.f64 beta alpha)
(- (+ beta (* -2 (/ (* i (- beta alpha)) (+ alpha beta)))) alpha)
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 i (-.f64 beta alpha)) (+.f64 beta alpha)) beta) alpha)
(- (+ beta (* i (- (* 4 (/ (* i (- beta alpha)) (pow (+ alpha beta) 2))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
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(- (+ beta (* i (- (* i (- (* -8 (/ (* i (- beta alpha)) (pow (+ alpha beta) 3))) (* -4 (/ (- beta alpha) (pow (+ alpha beta) 2))))) (* 2 (/ (- beta alpha) (+ alpha beta)))))) alpha)
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(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) i)
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(/ (- (+ (* -1/16 (/ (* (pow (+ alpha beta) 4) (- beta alpha)) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) (pow i 2))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)))) i)
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(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) i)
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(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 3) (- beta alpha)) i)) (* 1/4 (* (pow (+ alpha beta) 2) (- beta alpha)))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
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(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) alpha)
(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha) (+ (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha) (pow beta 2))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (pow beta 2)) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))
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(/.f64 (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(/ (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) alpha)
(/.f64 (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))) alpha))
(* -1 (/ (+ (* -1 (pow (+ 2 (+ (* 2 beta) (* 4 i))) 2)) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))) alpha))
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)

rewrite353.0ms (2.9%)

Memory
34.0MiB live, 553.0MiB allocated
Rules
4 924×lower-*.f32
4 910×lower-*.f64
3 744×lower-fma.f32
3 734×lower-fma.f64
2 710×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060584
0100562
1497533
25059533
08158513
Stop Event
iter limit
node limit
iter limit
Counts
24 → 688
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha)
(*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))))
(*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
#s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha))
(fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(/.f64 (*.f64 beta beta) alpha)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (+.f64 alpha beta) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))) (fma.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (-.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) alpha) (*.f64 alpha alpha)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -4 binary64))) (+.f64 alpha (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (-.f64 (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 2 binary64)))) (-.f64 (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (*.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (*.f64 beta beta))))
(/.f64 (neg.f64 (*.f64 beta beta)) (neg.f64 alpha))
(/.f64 (/.f64 (*.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha)))
(/.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha)) (-.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal 0 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha))) (neg.f64 (/.f64 (*.f64 beta beta) alpha)))
(/.f64 (*.f64 (*.f64 beta beta) #s(literal 1 binary64)) alpha)
(/.f64 (neg.f64 (neg.f64 (*.f64 beta beta))) (neg.f64 (neg.f64 alpha)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha (*.f64 alpha alpha)))) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha)))) (neg.f64 (neg.f64 (/.f64 (*.f64 beta beta) alpha))))
(pow.f64 (/.f64 (*.f64 beta beta) alpha) #s(literal 1 binary64))
(pow.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) alpha))
(*.f64 beta (/.f64 beta alpha))
(*.f64 (*.f64 beta beta) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (neg.f64 (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (neg.f64 alpha)))
(*.f64 (/.f64 (*.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 beta beta) alpha))))
(*.f64 (/.f64 beta alpha) beta)

eval312.0ms (2.6%)

Memory
6.5MiB live, 556.2MiB allocated
Compiler

Compiled 97 573 to 5 575 computations (94.3% saved)

prune427.0ms (3.5%)

Memory
9.8MiB live, 483.2MiB allocated
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New1 631171 648
Fresh4711
Picked415
Done000
Total1 639251 664
Accuracy
100.0%
Counts
1 664 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.3%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
27.8%
(/.f64 (fma.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
39.3%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
61.6%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
61.5%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (neg.f64 alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
3.5%
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
22.2%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64))
18.0%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 #s(approx (- (+ 0 (/ (* beta beta) alpha)) (- (+ (* (+ 2 (+ (* beta 2) (* i 4))) (/ (+ 2 (+ (* beta 2) (* i 4))) alpha)) (* (- -2 (+ (* 2 i) beta)) (/ (+ (* 2 i) beta) alpha))) (+ 2 (+ (* beta 2) (* i 4))))) (-.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha)))) alpha)) #s(literal 2 binary64))
39.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
61.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
24.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
16.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))))) (*.f64 alpha alpha)))) alpha))
19.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
19.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
22.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) alpha))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
7.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
68.2%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
7.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
33.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
60.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Compiler

Compiled 1 491 to 616 computations (58.7% saved)

simplify437.0ms (3.6%)

Memory
-35.6MiB live, 245.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
cost-diff0
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
cost-diff384
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff704
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
cost-diff0
(*.f64 beta beta)
cost-diff0
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
cost-diff0
(fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
cost-diff0
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
cost-diff192
(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
Rules
19 902×lower-fma.f32
19 890×lower-fma.f64
4 286×lower-*.f32
4 278×lower-*.f64
3 924×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052464
080459
1167451
2397447
31328435
45563435
56108435
08157427
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
#s(literal 2 binary64)
(+.f64 beta alpha)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
#s(literal 1/2 binary64)
(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
i
#s(literal 4 binary64)
#s(literal 2 binary64)
beta
alpha
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 beta beta)
beta
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
#s(literal 1 binary64)
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(fma.f64 #s(literal 2 binary64) i beta)
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 beta alpha)
(+.f64 alpha beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) alpha))
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 1/2 binary64)
(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
i
#s(literal 4 binary64)
#s(literal 2 binary64)
beta
alpha
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 beta (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 beta (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 beta beta)
beta
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(fma.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(+.f64 alpha beta)
alpha
beta
(-.f64 beta alpha)
(+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
#s(literal 1 binary64)
(+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i beta)

localize221.0ms (1.8%)

Memory
19.2MiB live, 145.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
accuracy0.20464285103208107
(/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
accuracy12.545462548418097
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
accuracy20.12981507701034
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
accuracy0.0078125
(fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.01953125
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
accuracy13.49158581366337
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy18.422390333817432
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
accuracy0
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
accuracy0.00390625
(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
accuracy0.03125
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
accuracy49.197660187069154
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
accuracy42.58748629694298
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy0
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy0.033535009768442016
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy10.332214960495952
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
accuracy15.069020291619674
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
Samples
82.0ms192×0valid
36.0ms23×2valid
25.0ms41×1valid
Compiler

Compiled 418 to 49 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-add: 55.0ms (47.3% of total)
ival-mult: 33.0ms (28.4% of total)
ival-div: 17.0ms (14.6% of total)
adjust: 10.0ms (8.6% of total)
ival-sub: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory
-11.8MiB live, 70.7MiB allocated
Counts
19 → 552
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (patch (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) (patch (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha) (patch (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha) #<representation binary64>) () ())
#s(alt #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) (patch #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (patch (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #<representation binary64>) () ())
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (patch (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (patch (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (patch (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())
Outputs
#s(alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) (taylor 0 beta) (#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) (taylor 0 beta) (#s(alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (patch (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow (+ alpha (* 2 i)) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta)))) beta) (taylor inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (/ 1 beta) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 2 (/ i beta)) (/ alpha beta)) 1) beta)) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 2) beta) (+ alpha (* 2 i))) beta)) 1) beta)) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 3) beta) (pow (+ alpha (* 2 i)) 2)) beta)) (+ alpha (* 2 i))) beta)) 1) beta)) (taylor -inf beta) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ())) ())
Calls

138 calls:

TimeVariablePointExpression
28.0ms
beta
@inf
(/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta))))
6.0ms
beta
@0
(/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))
1.0ms
i
@0
(+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2)
1.0ms
beta
@-inf
(+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2)
1.0ms
alpha
@0
(/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ beta (+ (* 2 i) 2))))

simplify535.0ms (4.4%)

Memory
11.4MiB live, 415.1MiB allocated
Algorithm
egg-herbie
Rules
5 702×lower-*.f64
5 702×lower-*.f32
5 486×lower-fma.f64
5 486×lower-fma.f32
4 426×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0170131519
1569527765
0852325133
Stop Event
iter limit
node limit
Counts
552 → 546
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) (* 1/2 (/ (+ (* -1 (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha))) alpha)) (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
(+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))))) (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))) (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* beta (+ (* 1/2 (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3)))) (+ (* -1 (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (+ (/ alpha (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))) (* 1/2 (- (/ 1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (+ (* -1 (/ (pow alpha 2) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))) (/ (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ (* -1 (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ alpha (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* -1 (/ (* (pow alpha 2) (+ 2 (+ (* 2 alpha) (* 4 i)))) (* (pow (+ 2 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))))))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))))
(+ 1 (+ (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))))
1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) (* 1/2 (/ (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
1/2
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* 1/2 (+ 1 (* -1 (/ (pow alpha 2) (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))))
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1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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1
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) (* -1/2 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (pow alpha 2) (+ (* -1 (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))))) beta))) beta)) (* -1/2 (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta)))
(* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta)))))
(+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))))) (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 (+ alpha beta)))) (/ alpha (+ 2 (+ alpha beta))))) (* i (+ (* -1/2 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* i (+ (* -1/2 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta))))))) (* -1/2 (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 2)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))))))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) (pow i 4))) (+ (* -1/32 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))))
1/2
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(+ 1/2 (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(+ 1/2 (+ (* -1 (/ (+ (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/2 (/ (+ (* -1/64 (* (+ alpha beta) (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))))) i))) (pow i 3))) (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))))
(/ (pow beta 2) (+ 2 (+ beta (* 2 i))))
(+ (* alpha (- (+ (* -1 (/ beta (+ 2 (+ beta (* 2 i))))) (/ beta (+ 2 (+ beta (* 2 i))))) (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ (pow beta 2) (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* -1 (/ beta (+ 2 (+ beta (* 2 i))))) (+ (* alpha (- (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 3)) (+ (* -1 (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))))) (/ beta (+ 2 (+ beta (* 2 i)))))) (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ (pow beta 2) (+ 2 (+ beta (* 2 i)))))
(+ (* alpha (- (+ (* -1 (/ beta (+ 2 (+ beta (* 2 i))))) (+ (* alpha (- (+ (* alpha (- (+ (* -1 (/ beta (pow (+ 2 (+ beta (* 2 i))) 3))) (+ (/ 1 (pow (+ 2 (+ beta (* 2 i))) 2)) (/ beta (pow (+ 2 (+ beta (* 2 i))) 3)))) (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 4)))) (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 3))) (+ (* -1 (/ beta (pow (+ 2 (+ beta (* 2 i))) 2))) (+ (/ 1 (+ 2 (+ beta (* 2 i)))) (/ beta (pow (+ 2 (+ beta (* 2 i))) 2)))))) (/ beta (+ 2 (+ beta (* 2 i)))))) (/ (pow beta 2) (pow (+ 2 (+ beta (* 2 i))) 2)))) (/ (pow beta 2) (+ 2 (+ beta (* 2 i)))))
(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))) (pow alpha 2))))))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))) (pow alpha 2))))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (* -1 (pow beta 2)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i))))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i)))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (/ alpha (+ 2 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ alpha (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 4))) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ 1 (+ 2 (+ alpha (* 2 i)))))) (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ alpha (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta))))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta))) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) beta)) beta))) beta)) 1)))
(/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta)))
(+ (* -2 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 2))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(+ (* i (- (* 4 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 3))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(+ (* i (- (* i (- (* -8 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 4))) (* -4 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 3))))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/ (+ (* -1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(pow beta 2)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(* -1 (pow alpha 2))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(* -1 (pow alpha 2))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(* beta (+ 2 beta))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (* 2 (+ 2 beta)))))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(* 2 (* i (+ 2 (* 2 i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (* 4 i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(/ 1 (+ beta (* 2 i)))
(+ (* -1 (/ alpha (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i))))
(+ (* alpha (- (/ alpha (pow (+ beta (* 2 i)) 3)) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i))))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ beta (* 2 i)) 4))) (/ 1 (pow (+ beta (* 2 i)) 3)))) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i))))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ beta (* 2 i)) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ i alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 2) alpha) (+ beta (* 2 i))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 3) alpha) (pow (+ beta (* 2 i)) 2)) alpha)) (+ beta (* 2 i))) alpha)) 1) alpha))
(/ 1 (+ alpha beta))
(+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))
(+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(+ (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 4))) (* 4 (/ 1 (pow (+ alpha beta) 3))))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(/ 1/2 i)
(/ (+ 1/2 (* -1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) i)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) i)
(/ 1/2 i)
(* -1 (/ (- (* 1/4 (/ (+ alpha beta) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ alpha beta) 2) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ alpha beta) 3) i)) (* 1/8 (pow (+ alpha beta) 2))) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(/ 1 (+ alpha (* 2 i)))
(+ (* -1 (/ beta (pow (+ alpha (* 2 i)) 2))) (/ 1 (+ alpha (* 2 i))))
(+ (* beta (- (/ beta (pow (+ alpha (* 2 i)) 3)) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i))))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 3)))) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i))))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))) beta)
(/ (- (+ 1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ alpha (* 2 i)) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ i beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 2) beta) (+ alpha (* 2 i))) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 3) beta) (pow (+ alpha (* 2 i)) 2)) beta)) (+ alpha (* 2 i))) beta)) 1) beta))
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #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 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 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 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) alpha)
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta)))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta))))) alpha)) alpha)) alpha))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(fma.f64 alpha (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
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1
#s(literal 1 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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(* (pow beta 2) (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1/2 (/ (* (+ 2 (* 4 i)) (+ (* -1/8 (/ (pow (+ 2 (* 4 i)) 2) (* (pow i 3) (pow (+ 2 (* 2 i)) 3)))) (* 1/4 (/ 1 (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))))) (* i (+ 2 (* 2 i))))) (* -1/8 (/ (+ 2 (* 4 i)) (* (pow i 3) (pow (+ 2 (* 2 i)) 3))))))) (+ (* -1/8 (/ (pow (+ 2 (* 4 i)) 2) (* (pow i 3) (pow (+ 2 (* 2 i)) 3)))) (* 1/4 (/ 1 (* (pow i 2) (pow (+ 2 (* 2 i)) 2))))))) (* 1/4 (/ (+ 2 (* 4 i)) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i)))))))
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(- (+ 1 (* -1 (/ (+ (* -2 (* i (* (+ 2 (* 2 i)) (+ 2 (* 4 i))))) (* -1 (* (+ 2 (* 4 i)) (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i)))))))) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 4 i)) 2) (pow beta 2))) (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
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(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2) beta)) (* 2 (/ (* i (+ 2 (* 2 i))) beta))) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* i (* (+ 2 (* 2 i)) (+ (* -2 i) (* -1 (+ 2 (* 2 i)))))) beta)) (* -1 (/ (* (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta))) (+ (* -1 (pow (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) 2)) (* 2 (* i (+ 2 (* 2 i)))))) beta)) (+ (* -2 i) (* -1 (+ 2 (* 2 i))))) beta)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
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(fma.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta)))) (* beta (+ 2 beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))) (+ (* 2 beta) (* 2 (+ 2 beta)))) (* beta (+ 2 beta))))))) (+ (* -1 (/ (* (+ (* 2 beta) (* 2 (+ 2 beta))) (+ (* 2 (/ beta (pow (+ 2 beta) 2))) (* 2 (/ 1 (+ 2 beta))))) (* beta (+ 2 beta)))) (* 4 (/ 1 (pow (+ 2 beta) 2)))))) (+ (* 2 (/ 1 (+ 2 beta))) (* 2 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(* 1/4 (/ (pow beta 2) (pow i 2)))
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(/ (+ (* -1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 beta beta) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) i)) (*.f64 (*.f64 beta beta) #s(literal 1/4 binary64))) (*.f64 i i))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 2))) (* 1/4 (pow beta 2))) (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
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(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2)) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) i))) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 beta) (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (/ (pow beta 2) alpha)))) (+ (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha)) (+ (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2)) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) alpha) (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (pow alpha 2))))))) alpha)
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(* -1 (/ (- (+ beta (+ (* -1 beta) (* -1 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)))) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
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(/ (pow beta 2) (+ 2 (+ beta (* 2 i))))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
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(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)))))
(*.f64 alpha (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha)))
(* alpha (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))) (pow alpha 2))))))
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(* alpha (- (+ (* -1 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2))))) (+ 1 (+ (* -1 (/ (+ 2 (+ beta (* 2 i))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ beta (* 2 i)))))) (pow alpha 2))))))
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(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -1 (+ beta (* -1 beta))) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 (+ beta (* 2 i))) (- (* -1 (pow beta 2)) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i))))))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ 2 (+ beta (* 2 i))) (- (* -1 (+ beta (* -1 beta))) (* -1 (+ 2 (+ beta (* 2 i)))))))) alpha))) (* -1 (+ 2 (+ beta (* 2 i))))) alpha)))))
(*.f64 (neg.f64 alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (neg.f64 (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (*.f64 beta beta))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) alpha)))
(* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i)))))
(neg.f64 (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (/ alpha (+ 2 (+ alpha (* 2 i))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
(fma.f64 beta (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (neg.f64 (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ 1 (+ 2 (+ alpha (* 2 i))))) (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ alpha (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
(fma.f64 beta (+.f64 (-.f64 (fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))))) #s(literal 0 binary64)) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha))))) (neg.f64 (/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))))
(+ (* -1 (/ (pow alpha 2) (+ 2 (+ alpha (* 2 i))))) (* beta (- (+ (* -1 (/ alpha (+ 2 (+ alpha (* 2 i))))) (+ (* beta (- (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 3))) (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 3))) (+ (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 4))) (/ 1 (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ 1 (+ 2 (+ alpha (* 2 i)))))) (+ (* -1 (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))) (/ alpha (pow (+ 2 (+ alpha (* 2 i))) 2))))) (/ alpha (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) (pow (+ 2 (+ alpha (* 2 i))) 2))))))
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beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 beta (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
(*.f64 beta (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)))))
(* beta (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))))) (pow beta 3))) (* -1 (/ (pow alpha 2) (pow beta 2)))))) (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 alpha) (+ 2 (* 2 i)))) (pow beta 2))))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (+.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 beta (*.f64 beta beta))) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (-.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta))))))
beta
(* -1 (* beta (- (* -1 (/ (+ alpha (* -1 alpha)) beta)) (+ 1 (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta))))))
(*.f64 (neg.f64 beta) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) beta)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (pow alpha 2) beta))) (* -1 (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) beta))) beta)) 1)))
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(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* -1 (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) (/ (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 (+ alpha (* 2 i))) (- (* -1 (+ alpha (* -1 alpha))) (* -1 (+ 2 (+ alpha (* 2 i))))))))) beta)) beta))) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (neg.f64 (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (neg.f64 (fma.f64 alpha alpha (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))))) beta) (neg.f64 (fma.f64 alpha alpha (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))))) beta))) beta) #s(literal -1 binary64)))
(/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta)))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+ (* -2 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 2))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 i (+.f64 alpha beta)) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+ (* i (- (* 4 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 3))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
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(+ (* i (- (* i (- (* -8 (/ (* i (* (+ alpha beta) (- beta alpha))) (pow (+ 2 (+ alpha beta)) 4))) (* -4 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 3))))) (* 2 (/ (* (+ alpha beta) (- beta alpha)) (pow (+ 2 (+ alpha beta)) 2))))) (/ (* (+ alpha beta) (- beta alpha)) (+ 2 (+ alpha beta))))
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(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) i)
(/ (+ (* -1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)) (* 1/2 (* (+ alpha beta) (- beta alpha)))) i)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) i)
(/ (- (+ (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 i i)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)))) i)
(/ (- (+ (* -1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) (pow i 3))) (* 1/2 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i)))) i)
(/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 i (*.f64 i i))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) (*.f64 i i)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i))) i)
(* 1/2 (/ (* (+ alpha beta) (- beta alpha)) i))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) i)
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) i))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i)) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i) (*.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) i)) i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (* (pow (+ 2 (+ alpha beta)) 3) (* (+ alpha beta) (- beta alpha))) i)) (* 1/8 (* (pow (+ 2 (+ alpha beta)) 2) (* (+ alpha beta) (- beta alpha))))) i)) (* 1/4 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) i)) (* -1/2 (* (+ alpha beta) (- beta alpha)))) i))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) i)) (*.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) i)) i))
(pow beta 2)
(*.f64 beta beta)
(+ (* alpha (+ beta (* -1 beta))) (pow beta 2))
(fma.f64 beta beta #s(literal 0 binary64))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(fma.f64 alpha (-.f64 (-.f64 beta alpha) beta) (*.f64 beta beta))
(+ (* alpha (+ beta (+ (* -1 alpha) (* -1 beta)))) (pow beta 2))
(fma.f64 alpha (-.f64 (-.f64 beta alpha) beta) (*.f64 beta beta))
(* -1 (pow alpha 2))
(neg.f64 (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) 1))
(neg.f64 (*.f64 alpha alpha))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)))
(* (pow alpha 2) (- (+ (* -1 (/ beta alpha)) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)))
(* -1 (pow alpha 2))
(neg.f64 (*.f64 alpha alpha))
(* (pow alpha 2) (- (* -1 (/ (+ beta (* -1 beta)) alpha)) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64)))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
(*.f64 (*.f64 alpha alpha) (+.f64 (neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 beta beta) alpha)) alpha)) #s(literal -1 binary64)))
(* (pow alpha 2) (- (* -1 (/ (+ beta (+ (* -1 beta) (* -1 (/ (pow beta 2) alpha)))) alpha)) 1))
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(* -1 (pow alpha 2))
(neg.f64 (*.f64 alpha alpha))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (* -1 alpha))))
(neg.f64 (*.f64 alpha alpha))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(fma.f64 beta (+.f64 alpha (-.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))
(+ (* -1 (pow alpha 2)) (* beta (+ alpha (+ beta (* -1 alpha)))))
(fma.f64 beta (+.f64 alpha (-.f64 beta alpha)) (neg.f64 (*.f64 alpha alpha)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (pow alpha 2) (pow beta 2))) (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))))
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) beta) #s(literal 0 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha (* -1 alpha))) (/ (pow alpha 2) beta)) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) beta) #s(literal 0 binary64)) beta)))
(* beta (+ 2 beta))
(*.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (* 2 (+ 2 beta)))))
(fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (*.f64 i (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal 4 binary64) i)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* beta (+ 2 beta)) (* i (+ (* 2 beta) (+ (* 2 (+ 2 beta)) (* 4 i)))))
(fma.f64 i (fma.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal 4 binary64) i)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ (+ 2 beta) i)))))
(*.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 (+.f64 #s(literal 2 binary64) beta) i)) #s(literal 4 binary64)))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 (+.f64 #s(literal 2 binary64) beta) i)) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 i i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ beta i)) (+ (* 2 (/ (+ 2 beta) i)) (/ (* beta (+ 2 beta)) (pow i 2))))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 (+.f64 #s(literal 2 binary64) beta) i)) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 i i)))))
(* 4 (pow i 2))
(*.f64 #s(literal 4 binary64) (*.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (* -2 (+ 2 beta))) i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) i)) i)))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 beta) (+ (* -2 (+ 2 beta)) (* -1 (/ (* beta (+ 2 beta)) i)))) i))))
(*.f64 (*.f64 i i) (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) i)) i)))
(* 2 (* i (+ 2 (* 2 i))))
(*.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (* 4 i))))
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) i beta))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* beta (+ 2 (+ beta (* 4 i)))))
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) i beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta beta)) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow beta 2))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) (*.f64 beta beta)) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (* -1 (+ 2 (* 2 i)))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 i #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 i) (+ (* -2 (/ (* i (+ 2 (* 2 i))) beta)) (* -1 (+ 2 (* 2 i))))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) beta)))
(/ 1 (+ beta (* 2 i)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))
(+ (* -1 (/ alpha (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))
(+ (* alpha (- (/ alpha (pow (+ beta (* 2 i)) 3)) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i))))
(fma.f64 alpha (-.f64 (/.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ beta (* 2 i)) 4))) (/ 1 (pow (+ beta (* 2 i)) 3)))) (/ 1 (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i))))
(fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) alpha)
(/ (- (+ 1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ beta (* 2 i)) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 2 (/ i alpha)) (/ beta alpha)))) alpha)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 alpha (*.f64 alpha alpha)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (+ (* 2 (/ i alpha)) (/ beta alpha)) 1) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 2) alpha) (+ beta (* 2 i))) alpha)) 1) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) alpha) (fma.f64 #s(literal 2 binary64) i beta)) alpha)) #s(literal -1 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ beta (* 2 i)) 3) alpha) (pow (+ beta (* 2 i)) 2)) alpha)) (+ beta (* 2 i))) alpha)) 1) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) (fma.f64 #s(literal 2 binary64) i beta)) alpha)) #s(literal -1 binary64)) alpha))
(/ 1 (+ alpha beta))
(/.f64 #s(literal 1 binary64) (+.f64 alpha beta))
(+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))
(fma.f64 #s(literal -2 binary64) (/.f64 i (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))
(+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(fma.f64 i (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) i) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))
(+ (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 4))) (* 4 (/ 1 (pow (+ alpha beta) 3))))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))
(fma.f64 i (fma.f64 i (fma.f64 #s(literal -8 binary64) (/.f64 i (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)))
(/ 1/2 i)
(/.f64 #s(literal 1/2 binary64) i)
(/ (+ 1/2 (* -1/4 (/ (+ alpha beta) i))) i)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/2 binary64)) i)
(/ (- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) i)
(/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)) (/.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta)) i))) i)
(/ (- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) i)
(/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 i (*.f64 i i))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 i i)) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) i))) i)
(/ 1/2 i)
(/.f64 #s(literal 1/2 binary64) i)
(* -1 (/ (- (* 1/4 (/ (+ alpha beta) i)) 1/2) i))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal -1/2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow (+ alpha beta) 2) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) i) (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta))) i)) #s(literal -1/2 binary64)) i))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow (+ alpha beta) 3) i)) (* 1/8 (pow (+ alpha beta) 2))) i)) (* 1/4 (+ alpha beta))) i)) 1/2) i))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) i) (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) i)) (*.f64 #s(literal -1/4 binary64) (+.f64 alpha beta))) i)) #s(literal -1/2 binary64)) i))
(/ 1 (+ alpha (* 2 i)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha))
(+ (* -1 (/ beta (pow (+ alpha (* 2 i)) 2))) (/ 1 (+ alpha (* 2 i))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 beta (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))
(+ (* beta (- (/ beta (pow (+ alpha (* 2 i)) 3)) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i))))
(fma.f64 beta (-.f64 (/.f64 beta (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ alpha (* 2 i)) 4))) (/ 1 (pow (+ alpha (* 2 i)) 3)))) (/ 1 (pow (+ alpha (* 2 i)) 2)))) (/ 1 (+ alpha (* 2 i))))
(fma.f64 beta (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (+ 1 (* -1 (/ (+ alpha (* 2 i)) beta))) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta)) beta)
(/ (- (+ 1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta)))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ alpha (* 2 i)) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (/ alpha beta)))) beta)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta (*.f64 beta beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta beta)))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (+ (* 2 (/ i beta)) (/ alpha beta)) 1) beta))
(neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta)) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 2) beta) (+ alpha (* 2 i))) beta)) 1) beta))
(neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) beta) (fma.f64 #s(literal 2 binary64) i alpha))) beta) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ alpha (* 2 i)) 3) beta) (pow (+ alpha (* 2 i)) 2)) beta)) (+ alpha (* 2 i))) beta)) 1) beta))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) beta) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) beta)) (fma.f64 #s(literal 2 binary64) i alpha)) beta)) #s(literal -1 binary64)) beta))

rewrite261.0ms (2.2%)

Memory
2.3MiB live, 467.5MiB allocated
Rules
4 068×lower-*.f32
4 060×lower-*.f64
3 620×lower-pow.f64
3 620×lower-pow.f32
3 606×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052385
080375
1448368
24286368
08368357
Stop Event
iter limit
node limit
iter limit
Counts
19 → 421
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
(/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha)
#s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))
(*.f64 beta beta)
(fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
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(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 beta (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i) (*.f64 beta (*.f64 beta beta)))) (fma.f64 beta (-.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 i (*.f64 i #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (*.f64 beta (neg.f64 beta)))) (-.f64 (*.f64 #s(literal 2 binary64) i) beta))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 beta (-.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 i (*.f64 i #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (*.f64 beta (neg.f64 beta))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 #s(literal 2 binary64) i) beta))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 8 binary64)) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))
(*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))))
(/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))))
(pow.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)))))
(*.f64 (pow.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 alpha alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha (*.f64 alpha alpha)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (*.f64 alpha alpha))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i)))) (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i alpha)) (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i (*.f64 i #s(literal 4 binary64))))) (+.f64 beta (-.f64 alpha (*.f64 #s(literal 2 binary64) i))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i (*.f64 i #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 alpha (*.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)))

eval154.0ms (1.3%)

Memory
-13.8MiB live, 343.1MiB allocated
Compiler

Compiled 46 341 to 3 127 computations (93.3% saved)

prune231.0ms (1.9%)

Memory
21.4MiB live, 433.2MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New95215967
Fresh10919
Picked325
Done011
Total96527992
Accuracy
100.0%
Counts
992 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ (* 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
39.3%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
22.2%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64))
39.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
68.2%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
61.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
61.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
51.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
68.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
69.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
22.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) alpha))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
7.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
19.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
3.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
7.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
24.2%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
25.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
55.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
16.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))))) alpha)))
18.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)))
33.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
60.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Compiler

Compiled 1 070 to 569 computations (46.8% saved)

simplify241.0ms (2%)

Memory
-4.4MiB live, 543.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
cost-diff0
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha)))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
cost-diff1216
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
cost-diff0
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
cost-diff0
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
cost-diff192
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))
cost-diff0
#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff0
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
cost-diff0
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Rules
14 608×lower-fma.f32
14 592×lower-fma.f64
5 426×lower-*.f32
5 420×lower-*.f64
2 862×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066587
094564
1206564
2520561
31675547
45596547
57197547
08184512
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
#s(literal 4 binary64)
i
#s(literal 2 binary64)
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))
beta
#s(literal 2 binary64)
alpha
(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
(*.f64 #s(literal 2 binary64) i)
i
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 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 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
#s(literal 1/2 binary64)
(-.f64 beta alpha)
beta
alpha
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
(+.f64 beta alpha)
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
#s(literal 8 binary64)
(fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))
(-.f64 (+.f64 beta alpha) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) beta))))
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) beta))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
(/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
(fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))
#s(literal 4 binary64)
i
#s(literal 2 binary64)
beta
#s(literal 1 binary64)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) alpha)))
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha)))
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) alpha))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
(/.f64 (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))) alpha)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))
beta
#s(literal 2 binary64)
alpha
(/.f64 (*.f64 #s(literal 2 binary64) i) alpha)
(*.f64 #s(literal 2 binary64) i)
i
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 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 beta alpha) (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
(*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 beta alpha)
beta
alpha
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
(fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))
(+.f64 beta alpha)
(+.f64 alpha beta)
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
(*.f64 (+.f64 alpha beta) (+.f64 alpha beta))
#s(literal 8 binary64)
(fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta #s(literal -2 binary64))) #s(literal 4 binary64))
(-.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 alpha (+.f64 beta #s(literal -2 binary64)))
#s(literal 2 binary64)
#s(literal 4 binary64)

localize273.0ms (2.2%)

Memory
-7.5MiB live, 593.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
accuracy6.253311425324407
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
accuracy10.332214960495952
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
accuracy26.52162523130843
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
accuracy0
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha)))
accuracy0.015625
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
accuracy0.01953125
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
accuracy49.197660187069154
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
accuracy0
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))
accuracy0.015625
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
accuracy13.49158581366337
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
accuracy46.16555216700774
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
accuracy10.332214960495952
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
accuracy15.069020291619674
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
accuracy46.363819682002344
#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
accuracy0.0078125
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0.01171875
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy13.49158581366337
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy33.97257393483054
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
Samples
129.0ms192×0valid
30.0ms41×1valid
27.0ms23×2valid
Compiler

Compiled 430 to 61 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 29.0ms (29.5% of total)
ival-add: 27.0ms (27.5% of total)
ival-div: 26.0ms (26.5% of total)
adjust: 12.0ms (12.2% of total)
ival-sub: 3.0ms (3.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.2%)

Memory
4.1MiB live, 215.4MiB allocated
Counts
20 → 552
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (patch #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #<representation binary64>) () ())
#s(alt (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (patch (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #<representation binary64>) () ())
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Outputs
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Calls

138 calls:

TimeVariablePointExpression
33.0ms
alpha
@inf
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2)
12.0ms
alpha
@inf
(+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha))
3.0ms
alpha
@-inf
(/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8))
2.0ms
beta
@0
(+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2)
2.0ms
alpha
@-inf
(+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2)

simplify391.0ms (3.2%)

Memory
25.6MiB live, 890.7MiB allocated
Algorithm
egg-herbie
Rules
6 406×lower-*.f64
6 406×lower-*.f32
5 648×lower-fma.f64
5 648×lower-fma.f32
4 150×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159930458
1544427332
0811924815
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* alpha (+ (* -1/2 (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (* alpha (- (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))))))))))
(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
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1/2
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1/2
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1/2
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(* 1/2 (/ (pow beta 2) (* i (+ 2 (* 2 i)))))
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1
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1
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(/ beta (+ 2 beta))
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(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* -1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 2))) (* 1/4 (pow beta 2))) (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 3) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 (pow beta 2))) (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) (pow i 2)))))) (pow i 2))
(* 1/4 (/ (pow beta 2) (pow i 2)))
(/ (+ (* 1/16 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2)) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) i))) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 beta) (* -2 (+ 2 beta))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* -1/64 (/ (* (pow beta 3) (* (+ 2 beta) (+ (* -2 beta) (* -2 (+ 2 beta))))) i))) (+ (* -1/64 (* (pow beta 2) (pow (+ (* -2 beta) (* -2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta))))) i)) (* 1/16 (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))))) i)) (* 1/4 (pow beta 2))) (pow i 2))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
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(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ 2 beta)
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(+ 1/2 (+ (* 1/2 (/ (* beta (+ 4 (* beta (- beta 2)))) (+ 8 (pow beta 3)))) (* alpha (+ (* 1/2 (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (+ (/ (* beta (+ 4 (* beta (- beta 2)))) (pow (+ 8 (pow beta 3)) 2)) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))))) (+ 8 (pow beta 3)))))))) (* 1/2 (- (+ (* -1 (/ (- (* 2 beta) 2) (+ 8 (pow beta 3)))) (/ beta (+ 8 (pow beta 3)))) (+ (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ beta (* 2 beta)))) (pow (+ 8 (pow beta 3)) 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (/ (+ 4 (* beta (- beta 2))) (+ 8 (pow beta 3)))) (/ (* beta (- (* 2 beta) 2)) (+ 8 (pow beta 3)))) (/ (* beta (* (+ 4 (* beta (- beta 2))) (+ (* 2 (pow beta 2)) (pow beta 2)))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3))))))))))))
(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
(/ (+ (* -1/2 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))))) alpha)
(* -1/2 (/ (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3)))))) (* 1/2 (/ (+ (* -1 (* (+ 8 (pow beta 3)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (* beta (- beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (pow beta 3))))))) (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))))) alpha))) alpha)) (* 1/2 (- (* -1 (+ 4 (+ (* beta (+ (* -1 beta) (* -1 (- beta 2)))) (* beta (- beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) alpha)) (* 1/2 (- (* -1 (+ beta (+ (* -1 beta) (* -1 (- beta 2))))) (+ beta (* 2 beta))))) alpha))
(* -1/2 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2)))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ (* -1/2 (/ alpha (+ 8 (pow alpha 3)))) (* beta (+ (* 1/2 (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* -1/2 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (* -1/2 (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))))))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1/2 (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))) (+ (* -1/2 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))))) (pow beta 2))
(/ 1/2 (pow beta 2))
(/ (+ 1/2 (* 1/2 (/ (- (* -1 alpha) (+ alpha (* 2 alpha))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1/2 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* 1/2 (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) beta)) (* -1/2 (- (* -1 alpha) (+ alpha (* 2 alpha))))) beta))) (pow beta 2))
(* 1/2 (/ beta (+ 8 (pow beta 3))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (* 1/2 (/ beta (+ 8 (pow beta 3)))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))))))
(+ (* 1/2 (/ beta (+ 8 (pow beta 3)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (* -1/2 (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2)))))))))
(/ -1/2 (pow alpha 2))
(/ (- (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha))) 1/2) (pow alpha 2))
(/ (- (+ (* -1/2 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (* 1/2 (/ (- beta (* -1 (+ beta (* 2 beta)))) alpha)))) 1/2) (pow alpha 2))
(/ -1/2 (pow alpha 2))
(/ (- (* -1/2 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ beta (* 2 beta)))) (* 1/2 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))) alpha))) alpha)) 1/2) (pow alpha 2))
(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (* 1/2 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) (pow beta 3)))) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ beta (* 2 beta))))) alpha)) 1/2) (pow alpha 2))
(* -1/2 alpha)
(+ (* -1/2 alpha) (* 1/2 beta))
(+ (* -1/2 alpha) (* 1/2 beta))
(+ (* -1/2 alpha) (* 1/2 beta))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/2 (/ alpha beta))))
(* beta (+ 1/2 (* -1/2 (/ alpha beta))))
(* beta (+ 1/2 (* -1/2 (/ alpha beta))))
(* 1/2 beta)
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(* -1 (* beta (- (* 1/2 (/ alpha beta)) 1/2)))
(* 1/2 beta)
(+ (* -1/2 alpha) (* 1/2 beta))
(+ (* -1/2 alpha) (* 1/2 beta))
(+ (* -1/2 alpha) (* 1/2 beta))
(* -1/2 alpha)
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(* alpha (- (* 1/2 (/ beta alpha)) 1/2))
(* -1/2 alpha)
(* -1 (* alpha (+ 1/2 (* -1/2 (/ beta alpha)))))
(* -1 (* alpha (+ 1/2 (* -1/2 (/ beta alpha)))))
(* -1 (* alpha (+ 1/2 (* -1/2 (/ beta alpha)))))
(+ 8 (pow alpha 3))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(+ 8 (pow beta 3))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
Outputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))
(+ (* 1/2 (* alpha (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))
(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
(fma.f64 alpha (fma.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))))
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(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
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1/2
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1/2
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1
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1
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(* 1/4 (/ (pow beta 2) (pow i 2)))
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(/ (+ (* -1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (pow i 2))) (* 1/4 (pow beta 2))) (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i))) (pow i 2))
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(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2))) (* 1/16 (* (pow beta 3) (+ 2 beta)))) (+ (* 2 beta) (* 2 (+ 2 beta))))) (* -1/64 (* (pow beta 3) (* (+ 2 beta) (+ (* 2 beta) (* 2 (+ 2 beta))))))) (pow i 3))) (* 1/4 (pow beta 2))) (+ (* -1/64 (/ (* (pow beta 2) (pow (+ (* 2 beta) (* 2 (+ 2 beta))) 2)) (pow i 2))) (+ (* 1/16 (/ (* (pow beta 2) (+ (* 2 beta) (* 2 (+ 2 beta)))) i)) (* 1/16 (/ (* (pow beta 3) (+ 2 beta)) (pow i 2)))))) (pow i 2))
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(* 1/4 (/ (pow beta 2) (pow i 2)))
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(/ (+ (* 1/16 (/ (* (pow beta 2) (+ (* -2 beta) (* -2 (+ 2 beta)))) i)) (* 1/4 (pow beta 2))) (pow i 2))
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(* 1/2 beta)
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(* beta (+ 1/2 (* -1/4 beta)))
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(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
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(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
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#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
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(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
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(- 1 (* 2 (/ 1 beta)))
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(+ 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))
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ (* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (pow beta 2) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))) (* 1/2 (- (+ (* -1 (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))))))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) alpha)
(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) (* 1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))))) alpha))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1/2
#s(literal 1/2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))) alpha)
(/ (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))) alpha)
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(/ (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha)))) alpha)
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(/ (+ (* -1/2 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))))) (pow alpha 3))) (+ (* -1/2 (/ (+ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))))) (pow alpha 2))) (+ (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))) (* 1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) alpha))))) alpha)
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(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (pow beta 2) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (* 1/2 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))
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1
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1
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1/2
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (* beta (- beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (* beta (- beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
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(/ 1/2 (pow beta 2))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 alpha (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) beta)) (*.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) (neg.f64 (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 alpha (-.f64 (*.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (neg.f64 (fma.f64 alpha alpha (/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) beta)))) beta))) beta)) #s(literal -1 binary64)) (neg.f64 (*.f64 beta (*.f64 beta beta))))
(+ 8 (pow beta 3))
(fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (*.f64 beta (*.f64 beta beta))))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (*.f64 beta beta) (fma.f64 beta beta (*.f64 alpha (*.f64 #s(literal 3 binary64) beta)))) (*.f64 beta (*.f64 beta beta))))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (*.f64 beta beta) (fma.f64 alpha (fma.f64 #s(literal 3 binary64) beta alpha) (*.f64 beta beta))) (*.f64 beta (*.f64 beta beta))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 #s(literal 3 binary64) (/.f64 beta alpha) #s(literal 1 binary64)))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 beta alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64)) (neg.f64 (*.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 beta (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 beta beta) #s(literal -3 binary64)) alpha))) alpha)) #s(literal -1 binary64)) (neg.f64 (*.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 beta (-.f64 (*.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 beta beta) #s(literal -2 binary64) (neg.f64 (fma.f64 beta beta (/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) alpha)))) alpha))) alpha)) #s(literal -1 binary64)) (neg.f64 (*.f64 alpha (*.f64 alpha alpha))))

rewrite294.0ms (2.4%)

Memory
-27.2MiB live, 489.6MiB allocated
Rules
4 654×lower-*.f32
4 648×lower-*.f64
4 114×lower-fma.f32
4 098×lower-fma.f64
3 932×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066518
094496
1519472
24914472
09282441
Stop Event
iter limit
node limit
iter limit
Counts
20 → 267
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha)))
(/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 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 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 beta) (+.f64 beta #s(literal 2 binary64))))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(/.f64 (neg.f64 beta) (+.f64 (neg.f64 beta) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)))
(/.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(/.f64 (*.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(*.f64 (neg.f64 beta) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 beta) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64))) (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64))) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) beta) (*.f64 #s(literal 1/2 binary64) (neg.f64 alpha)))
(+.f64 (*.f64 beta #s(literal 1/2 binary64)) (*.f64 (neg.f64 alpha) #s(literal 1/2 binary64)))
(fma.f64 beta #s(literal 1/2 binary64) (*.f64 (neg.f64 alpha) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) beta (*.f64 #s(literal 1/2 binary64) (neg.f64 alpha)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta))) (+.f64 alpha beta))
(/.f64 (*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 beta alpha)) #s(literal 1/2 binary64)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) #s(literal 1/2 binary64)) (+.f64 alpha beta))
(*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha))
(+.f64 #s(literal 8 binary64) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64))))
(fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta) #s(literal 8 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (*.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (-.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 8 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3/2 binary64)) #s(literal 8 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta))) #s(literal 3 binary64)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal 8 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (-.f64 beta alpha))) #s(literal 3 binary64)) (pow.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64)) (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(/.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64))) (neg.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64))) (neg.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))))) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64)) (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 8 binary64))))))
(*.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal -8 binary64))))

eval124.0ms (1%)

Memory
19.9MiB live, 258.0MiB allocated
Compiler

Compiled 38 710 to 2 122 computations (94.5% saved)

prune186.0ms (1.5%)

Memory
10.0MiB live, 296.3MiB allocated
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New80712819
Fresh61319
Picked325
Done033
Total81630846
Accuracy
100.0%
Counts
846 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ (* 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
39.3%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
22.2%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64))
39.5%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
51.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (*.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64))))
61.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
61.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
68.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
69.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
46.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
47.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
51.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
7.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
19.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
3.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
23.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
9.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) alpha (*.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha))))
7.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
19.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
26.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
25.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
55.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
15.3%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))))) alpha)))
16.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha)))
15.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) alpha)) alpha)) alpha))))
33.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
60.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Compiler

Compiled 2 458 to 649 computations (73.6% saved)

regimes193.0ms (1.6%)

Memory
1.4MiB live, 155.7MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (neg.f64 alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) alpha (*.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ (* 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 #s(approx (- (+ 0 (/ (* beta beta) alpha)) (- (+ (* (+ 2 (+ (* beta 2) (* i 4))) (/ (+ 2 (+ (* beta 2) (* i 4))) alpha)) (* (- -2 (+ (* 2 i) beta)) (/ (+ (* 2 i) beta) alpha))) (+ 2 (+ (* beta 2) (* i 4))))) (-.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha)))) alpha)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (*.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) alpha) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))))) alpha)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) alpha)) alpha)) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))))) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))))) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))))) (*.f64 alpha alpha)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64)))))))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 i #s(literal 4 binary64))))))) (*.f64 alpha alpha)))) alpha))
Outputs
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

7 calls:

38.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
35.0ms
alpha
28.0ms
i
16.0ms
(*.f64 #s(literal 2 binary64) i)
16.0ms
beta
Results
AccuracySegmentsBranch
91.4%2alpha
80.4%1beta
80.4%1i
98.7%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.7%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
98.7%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
80.4%1(*.f64 #s(literal 2 binary64) i)
Compiler

Compiled 108 to 55 computations (49.1% saved)

regimes54.0ms (0.4%)

Memory
-22.5MiB live, 62.2MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (neg.f64 alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) alpha (*.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ (* 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 #s(approx (- (+ 0 (/ (* beta beta) alpha)) (- (+ (* (+ 2 (+ (* beta 2) (* i 4))) (/ (+ 2 (+ (* beta 2) (* i 4))) alpha)) (* (- -2 (+ (* 2 i) beta)) (/ (+ (* 2 i) beta) alpha))) (+ 2 (+ (* beta 2) (* i 4))))) (-.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) alpha)) (/.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) alpha)))) alpha)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (*.f64 (+.f64 alpha beta) (+.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
(/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

22.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
17.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
12.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.5%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
98.5%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes54.0ms (0.4%)

Memory
1.8MiB live, 40.2MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (neg.f64 alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) alpha (*.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (/.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) alpha)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (* (+ alpha beta) (/ (- beta alpha) (+ alpha (+ (* 2 i) beta)))) (/.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ 1 (+ alpha (+ (* 2 i) beta))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

30.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
10.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
10.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.8%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
95.8%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
95.8%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes45.0ms (0.4%)

Memory
-10.0MiB live, 28.5MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 #s(literal 2 binary64) i) alpha))))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

28.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
8.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
7.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
95.0%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
95.0%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
95.0%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes22.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) #s(approx (+ (* 1/2 (/ (+ (* beta 2) 2) alpha)) (/ (* 2 i) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 #s(literal 1 binary64) alpha)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 4 binary64)))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 i #s(literal 4 binary64)))) beta) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

7.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
6.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
95.0%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
95.0%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
95.0%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes42.0ms (0.3%)

Memory
-18.7MiB live, 21.8MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
Calls

3 calls:

30.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
5.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.9%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.9%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
94.9%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes17.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) #s(approx (/ (+ (* 4 i) 2) beta) (/.f64 (*.f64 i #s(literal 4 binary64)) beta)) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (*.f64 #s(approx (+ 2 (+ (* beta 2) (* i 4))) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1/2 binary64)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) 1/2) 1/2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) beta)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ (* (/ (* 1/2 (- beta alpha)) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (* (+ beta alpha) (- (+ beta alpha) 2)) 4)) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 1 binary64))))))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

5.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
5.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.6%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.6%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
94.6%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes12.0ms (0.1%)

Memory
-23.6MiB live, 15.1MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
3.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.3%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
94.3%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes13.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (*.f64 #s(literal 2 binary64) i)) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

3.0ms
alpha
3.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
3.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
71.3%2alpha
90.4%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
90.4%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
90.4%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 94 to 44 computations (53.2% saved)

regimes16.0ms (0.1%)

Memory
-19.6MiB live, 19.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) #s(approx (/ beta (+ 2 beta)) (*.f64 #s(literal 1/2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
Calls

6 calls:

5.0ms
(*.f64 #s(literal 2 binary64) i)
2.0ms
beta
2.0ms
i
2.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
2.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
60.6%1i
60.6%1(*.f64 #s(literal 2 binary64) i)
73.1%2beta
78.1%3(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
78.1%3(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
78.1%3(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 104 to 52 computations (50% saved)

regimes5.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (/ (- beta alpha) (+ 2 (+ beta alpha)))) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
1.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
75.9%2(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.9%2(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
75.9%2(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 90 to 41 computations (54.4% saved)

regimes6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
alpha
1.0ms
beta
1.0ms
(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
1.0ms
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
60.6%1alpha
60.6%1beta
60.6%1(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
60.6%1(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
60.6%1(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
Compiler

Compiled 98 to 47 computations (52% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999467071
-0.9999010427904951
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999467071
-0.9999010427904951
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.5880886227271514e-45
3.0290745359799014e-44
0.0ms
-0.9999999999467071
-0.9999010427904951
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.5880886227271514e-45
3.0290745359799014e-44
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.5880886227271514e-45
3.0290745359799014e-44
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.5880886227271514e-45
3.0290745359799014e-44
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1364425214091309e-7
0.00028361267637060073
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00028361267637060073
0.9999984708939832
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00028361267637060073
0.9999984708939832
0.0ms
-0.9966662590851904
-3.3537896686325284e-10
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00028361267637060073
0.9999984708939832
0.0ms
-1.0
-0.9999999999999999
Compiler

Compiled 35 to 22 computations (37.1% saved)

bsearch22.0ms (0.2%)

Memory
-28.8MiB live, 10.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.00028361267637060073
0.9999984708939832
Samples
4.0ms128×0valid
Compiler

Compiled 131 to 102 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (62.8% of total)
ival-add: 1.0ms (62.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Rules
38×+-commutative_binary64
18×*-commutative_binary64
18×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321804
11591804
21731804
31821804
41861804
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) (/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/.f64 (fma.f64 (/.f64 beta alpha) beta (neg.f64 (fma.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))) alpha) (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i #s(literal 4 binary64) (fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))))))) alpha)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) (/.f64 (fma.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (fma.f64 #s(literal 2 binary64) i beta))) (+.f64 alpha (+.f64 beta (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -9006748894778255/9007199254740992 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) alpha) (/.f64 beta alpha)))) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 8034690221294951/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 944473296573929/4722366482869645213696 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 #s(approx (/ (* beta beta) (* (+ (* 2 i) beta) (+ 2 (+ (* 2 i) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Outputs
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(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) (fma.f64 i #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
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(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 #s(approx (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) #s(approx (+ (* 1/2 (+ (* i 4) 2)) beta) (+.f64 beta #s(literal 1 binary64)))) alpha)) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal -1 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (/ (* (+ 2 (+ (* beta 2) (* i 4))) 1/2) alpha) (/.f64 beta alpha))) (if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))

soundness1.7s (13.8%)

Memory
-118.6MiB live, 1 031.2MiB allocated
Rules
6 196×lower-*.f64
6 196×lower-*.f32
6 142×lower-fma.f64
6 142×lower-fma.f32
5 702×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015106
025106
1125106
21197106
0870796
066518
094496
1519472
24914472
09282441
0168642413
1565237347
0861433739
093312962
1316911337
0884010203
0170131519
1569527765
0852325133
060584
0100562
1497533
25059533
08158513
052385
080375
1448368
24286368
08368357
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 422 to 480 computations (66.2% saved)

preprocess70.0ms (0.6%)

Memory
26.3MiB live, 180.3MiB allocated
Compiler

Compiled 1 734 to 208 computations (88% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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