Octave 3.8, jcobi/2

Time bar (total: 15.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze62.0ms (0.4%)

Memory
-22.6MiB live, 80.4MiB allocated; 21ms collecting garbage
Algorithm
1×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)

sample2.1s (13.9%)

Memory
52.2MiB live, 2 356.3MiB allocated; 335ms collecting garbage
Samples
895.0ms6 474×0valid
377.0ms1 279×1valid
255.0ms503×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-add: 376.0ms (32.2% of total)
ival-div: 197.0ms (16.9% of total)
adjust: 187.0ms (16% of total)
ival->: 143.0ms (12.3% of total)
ival-mult: 139.0ms (11.9% of total)
ival-sub: 87.0ms (7.5% of total)
exact: 18.0ms (1.5% of total)
ival-and: 17.0ms (1.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain370.0ms (2.4%)

Memory
-12.1MiB live, 531.6MiB allocated; 136ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
900-1(-1.0205703209226168e-156 8.09900402446981e-264 1.0332274104109317e-184)(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
510-0-(+.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/n800
↳(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))overflow80
+.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))cancellation510
Confusion
Predicted +Predicted -
+1030
-0153
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10300
-00153
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0153
175
228
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms408×0valid
54.0ms80×1valid
8.0ms22×2valid
1.0ms2×3valid
Compiler

Compiled 299 to 49 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 57.0ms (41.6% of total)
adjust: 43.0ms (31.4% of total)
ival-add: 21.0ms (15.3% of total)
ival-div: 12.0ms (8.7% of total)
ival-sub: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess215.0ms (1.4%)

Memory
24.5MiB live, 252.7MiB allocated; 31ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069281
1195277
2717269
33813269
01529
02529
15129
214129
365129
4472629
0848925
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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))
(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
Compiler

Compiled 29 to 15 computations (48.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.7%
(/.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 29 to 15 computations (48.3% saved)

simplify185.0ms (1.2%)

Memory
-5.9MiB live, 225.8MiB allocated; 66ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
015133
025133
151133
2141133
3651133
44726133
08489121
Stop Event
1×iter limit
1×node limit
1×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))
(fma.f64 (/.f64 (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 beta alpha) #s(literal 1/2 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 (/.f64 (+.f64 beta alpha) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -2 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #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 (+.f64 beta alpha) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -2 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 alpha beta) (-.f64 beta alpha))
(*.f64 (-.f64 beta alpha) (+.f64 beta alpha))
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
beta
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
(*.f64 #s(literal 2 binary64) i)
(*.f64 i #s(literal 2 binary64))
#s(literal 2 binary64)
i
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -2 binary64))
#s(literal 1 binary64)

localize74.0ms (0.5%)

Memory
-7.7MiB live, 139.0MiB allocated; 27ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
accuracy0.10546875
(/.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)))
accuracy11.234351703630107
(+.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))
accuracy20.81396821505552
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))
Samples
36.0ms204×0valid
14.0ms40×1valid
10.0ms11×2valid
0.0ms1×3valid
Compiler

Compiled 135 to 17 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 22.0ms (45.7% of total)
ival-add: 11.0ms (22.9% of total)
adjust: 10.0ms (20.8% of total)
ival-mult: 4.0ms (8.3% of total)
ival-sub: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.4%)

Memory
26.5MiB live, 128.6MiB allocated; 17ms collecting garbage
Counts
5 → 142
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 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.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)))
Outputs
(* 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 (/ (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 (* 2 i))
(+ alpha (+ beta (* 2 i)))
(/ (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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beta
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1/2
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(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
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(* 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 (+ (* 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)))))
(+ 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)))))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -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))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -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)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* -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))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
alpha
@-inf
((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))
9.0ms
beta
@-inf
((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))
6.0ms
alpha
@0
((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))
5.0ms
alpha
@inf
((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))
5.0ms
i
@0
((/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))))

simplify220.0ms (1.4%)

Memory
-0.3MiB live, 429.9MiB allocated; 43ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093312602
1335712202
0883410996
Stop Event
1×iter limit
1×node limit
Counts
142 → 140
Calls
Call 1
Inputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 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))))))
(+ 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 (* 2 i))
(+ alpha (+ beta (* 2 i)))
(/ (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)))))
(+ (* 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)))))
(/ (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))))
(* 1/2 (/ (- (+ 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)
(/ (- (+ 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)
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
-1
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) 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))))))
(- (+ (* -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))))))
(* -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))))))
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(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 1 (* -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 (- (* -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)))
(* 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 (/ 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))))
(+ alpha beta)
(/ (- beta alpha) (+ 2 (+ alpha beta)))
(- (+ (* -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))))
(- (+ (* 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))))
(- (+ (* 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))))
(- 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
(+ 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 (* 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))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -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 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -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))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 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 (+ (* 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)))))
(+ 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)))))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -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))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -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)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* -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))
Outputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* 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 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (*.f64 (neg.f64 beta) beta) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
(+ (* 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 (+ 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)))))))))))))
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(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
(+ 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))))))
(+.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (*.f64 (neg.f64 beta) beta) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1 binary64))
(+ 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))))))
(+.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (*.f64 (neg.f64 beta) beta) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (/.f64 beta (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (*.f64 (neg.f64 beta) beta) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64))))))) alpha)) #s(literal 1 binary64))
(+ 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))))))
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(+ beta (* 2 i))
(fma.f64 #s(literal 2 binary64) i beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(*.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (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 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (*.f64 (neg.f64 beta) beta) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (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)))))
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(/ (pow beta 2) (+ beta (* 2 i)))
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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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(/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)
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(/ (- (+ 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)
(/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha) (/.f64 (*.f64 beta beta) alpha))) (fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1 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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) 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)
(/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 beta beta) alpha))) (+.f64 (neg.f64 (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) alpha) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)))))) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 1 binary64)) alpha)
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))))
(-.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)) 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 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
(- (+ (* -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))))))
(-.f64 (+.f64 (neg.f64 (+.f64 (/.f64 beta alpha) (/.f64 (fma.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (fma.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)) alpha))) #s(literal 1 binary64)))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(*.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 alpha))) 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))))))
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 alpha)))) alpha)
(* 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))))))
(*.f64 (-.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (fma.f64 beta beta (*.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha)))) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 alpha alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 alpha))) #s(literal 1 binary64))) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha) #s(literal -1/2 binary64))
(* -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))
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64))) (neg.f64 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))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha))) (neg.f64 alpha))) (neg.f64 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))
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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 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
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(+ (* -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))))))
(fma.f64 (-.f64 (fma.f64 (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) beta (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 #s(literal 0 binary64) (/.f64 alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta (/.f64 alpha (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) beta (/.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 #s(literal 2 binary64) i alpha)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 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))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 beta beta)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta)) #s(literal 1 binary64))
(+ 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)))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 beta beta)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta)))) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) 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)))))))
(-.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 alpha beta))) (/.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta beta)))))
(- (+ 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)))))))
(-.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 alpha beta) (/.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 alpha alpha) beta) (/.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta beta)))))
beta
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 1 binary64)) beta)
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta))
(- (+ 1 (+ (* -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)))))))
(-.f64 (+.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 alpha beta))) (/.f64 alpha beta)) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta beta)))))
(- (+ 1 (+ (* -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)))))))
(-.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 alpha beta) (/.f64 (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64))))) (fma.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 alpha alpha) beta) (/.f64 alpha beta))) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) (/.f64 (fma.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 beta beta)))))
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(*.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #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 (-.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 alpha beta))) #s(literal 1 binary64)) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta 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 (-.f64 (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 alpha beta) (/.f64 alpha beta) (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 #s(literal 2 binary64) i alpha)) (pow.f64 beta #s(literal 3 binary64)))))) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta beta)))) beta)
(+ 1 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (* -1 (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) beta)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 alpha alpha (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta) #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal -1/2 binary64))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (fma.f64 alpha alpha (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (fma.f64 #s(literal 2 binary64) i alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 alpha alpha (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta))) (neg.f64 beta))) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) 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)))
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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))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -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))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (*.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)))) (neg.f64 i))) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -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)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (*.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha))))))) i) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 beta alpha) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 beta alpha)) (*.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 beta alpha))))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) #s(literal -4 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)))) (neg.f64 i))) (*.f64 i i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64) (*.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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (neg.f64 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (-.f64 beta alpha)))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 beta alpha)))) (neg.f64 i))) (neg.f64 i))

rewrite220.0ms (1.4%)

Memory
18.9MiB live, 291.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015103
025103
1119103
21045103
0812393
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 223
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 alpha beta) (*.f64 #s(literal 2 binary64) i))
(/.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)))
Outputs
(*.f64 (/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(fma.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha))) (neg.f64 (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha))) (neg.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)) (neg.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 beta alpha) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 beta alpha) beta) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 alpha (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 beta (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 alpha (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (+.f64 beta alpha) i) i))
(*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 beta alpha))
(*.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))) (neg.f64 (-.f64 alpha beta)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 beta alpha))) (neg.f64 (*.f64 (-.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 beta alpha))) (neg.f64 (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 alpha beta))
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha))) (neg.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 beta alpha)) (*.f64 (-.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 beta alpha)) (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 beta alpha)) (neg.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(neg.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 (*.f64 beta beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 alpha alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (-.f64 beta alpha) alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (-.f64 beta alpha) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 alpha (-.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 beta (-.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 beta (-.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 alpha (-.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 beta beta) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (neg.f64 alpha) alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))

eval124.0ms (0.8%)

Memory
-41.1MiB live, 153.9MiB allocated; 16ms collecting garbage
Compiler

Compiled 33 667 to 2 731 computations (91.9% saved)

prune19.0ms (0.1%)

Memory
37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New44717464
Fresh000
Picked101
Done000
Total44817465
Accuracy
99.7%
Counts
465 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.4%
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶67.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶79.4%
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))
60.2%
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶82.5%
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.7%
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.4%
(/.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))
58.5%
(/.f64 #s(approx (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1 binary64))) #s(literal 2 binary64))
24.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
40.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
58.2%
#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 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
17.3%
#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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
79.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
67.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
34.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
▶59.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
Compiler

Compiled 1 398 to 752 computations (46.2% saved)

simplify190.0ms (1.2%)

Memory
-31.1MiB live, 110.7MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
cost-diff1
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff1
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
cost-diff1
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
cost-diff2
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
cost-diff3
(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
cost-diff3
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) 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) #s(literal 1/2 binary64))
cost-diff0
(+.f64 beta alpha)
cost-diff0
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff1
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047507
078480
1185474
2535474
32503468
47090468
08053457
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(+.f64 beta alpha)
beta
alpha
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
i
#s(literal 2 binary64)
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #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(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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
#s(literal 0 binary64)
beta
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))
#s(literal 4 binary64)
i
(*.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))) (-.f64 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))) (-.f64 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))) (-.f64 beta alpha))
(-.f64 beta alpha)
beta
alpha
(+.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)
#s(literal 2 binary64)
i
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(-.f64 beta alpha)
beta
alpha
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
i
#s(literal 2 binary64)
(+.f64 beta alpha)
(/.f64 (+.f64 beta alpha) #s(literal 2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 beta alpha) #s(literal 1 binary64))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 beta alpha))
(+.f64 beta alpha)
(+.f64 alpha beta)
beta
alpha
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(-.f64 beta alpha)
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
i
#s(literal 2 binary64)
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #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(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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64) #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
beta
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))
#s(literal 4 binary64)
i
(*.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(+.f64 alpha beta)
(*.f64 #s(literal 2 binary64) i)
#s(literal 2 binary64)
i
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
i
#s(literal 2 binary64)
(+.f64 beta alpha)
(+.f64 alpha beta)
(/.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(/.f64 (+.f64 alpha beta) #s(literal 2 binary64))
#s(literal 1/2 binary64)

localize186.0ms (1.2%)

Memory
6.0MiB live, 103.6MiB allocated; 21ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
accuracy0.0390625
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy11.291419949472765
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy19.10977155997373
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
accuracy0.0078125
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))
accuracy0.10546875
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
accuracy11.234351703630107
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy25.53077961010272
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
accuracy0.0
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) beta)
accuracy0.01953125
(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
accuracy50.065247863670315
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
accuracy25.80683984395052
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
accuracy0.0390625
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy0.0546875
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
accuracy1.5934768597694708
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
accuracy11.234351703630107
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
Samples
66.0ms204×0valid
24.0ms40×1valid
10.0ms11×2valid
1.0ms1×3valid
Compiler

Compiled 506 to 43 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-add: 31.0ms (41.4% of total)
ival-div: 16.0ms (21.4% of total)
ival-mult: 16.0ms (21.4% of total)
adjust: 9.0ms (12% of total)
ival-sub: 2.0ms (2.7% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series91.0ms (0.6%)

Memory
10.0MiB live, 53.8MiB allocated; 17ms collecting garbage
Counts
23 → 290
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #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 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(-.f64 beta alpha)
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
(*.f64 #s(literal 2 binary64) beta)
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
Outputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
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beta
(+ alpha beta)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(+ beta (* 2 i))
(+ alpha (+ beta (* 2 i)))
(+ 1/2 (* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(+ beta (* -1 alpha))
(* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))
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(+ (* alpha (+ 2 (+ alpha (+ (* 2 beta) (* 4 i))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/ beta (+ beta (* 2 i)))
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(/ (+ 2 (+ (* 2 beta) (* 4 i))) 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))))
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(+ 2 (+ beta (* 2 i)))
(+ 2 (+ alpha (+ beta (* 2 i))))
(* 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)
(/ (- (+ 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
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) 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))))))
(- (+ (* -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))))))
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha))))
(/ -1 alpha)
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(- beta alpha)
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(/ (+ 2 (* 4 i)) alpha)
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1
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(* beta (+ 1 (/ alpha beta)))
(/ beta alpha)
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(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta))))
(/ 1 beta)
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))) beta)
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(* beta (+ 1 (* -1 (/ alpha beta))))
(pow beta 2)
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(* 2 (/ beta alpha))
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(* -1 (* beta (- (/ alpha beta) 1)))
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(/ (- beta alpha) (+ 2 (+ alpha beta)))
(- (+ (* -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))))
(- (+ (* 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))))
(- (+ (* 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))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ 2 (* 2 beta))
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ alpha beta)))))
(+ 1/2 (+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (/ (- beta alpha) (+ 2 (+ alpha beta))))))
(+ 1/2 (+ (* 1/2 (/ (- 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 (+ (* 1/2 (/ (- 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))))))))))))
(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2)))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (+ (* 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) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(* (+ 2 (+ alpha beta)) (+ alpha beta))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(/ (- 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)))
(/ (+ 2 (* 2 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)
(+ 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 (* 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))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -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 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -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))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* 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)
(* 4 (/ i alpha))
(* i (+ (* 2 (/ beta (* alpha i))) (+ (* 4 (/ 1 alpha)) (/ 2 (* alpha i)))))
(* 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)
(* i (+ 2 (+ (* 2 (/ 1 i)) (+ (/ alpha i) (/ beta i)))))
(+ 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)))))
(+ 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)))))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -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))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -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)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) 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))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(* -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 (* i (- (* -1 (/ (+ 2 (+ alpha beta)) i)) 2)))
Calls

9 calls:

TimeVariablePointExpression
34.0ms
beta
@-inf
((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* i 2) (+ beta alpha)) 2))
8.0ms
alpha
@inf
((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* i 2) (+ beta alpha)) 2))
7.0ms
beta
@inf
((/ (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) 2) (+ (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) 1) (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2))) (+ beta alpha) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (+ alpha beta) (* 2 i)) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha))) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) (* 2 beta) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* i 2) (+ beta alpha)) 2))
6.0ms
alpha
@0
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6.0ms
beta
@0
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simplify320.0ms (2.1%)

Memory
-14.0MiB live, 179.1MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159619476
1576719163
0864717346
Stop Event
1×iter limit
1×node limit
Counts
290 → 288
Calls
Call 1
Inputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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1
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(* beta (+ 1 (/ alpha beta)))
(/ beta alpha)
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(* beta (+ 1 (* -1 (/ alpha beta))))
(pow beta 2)
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(* -1 (* beta (- (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) 1)))
(* 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 (/ 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))))
(/ (- beta alpha) (+ 2 (+ alpha beta)))
(- (+ (* -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))))
(- (+ (* 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))))
(- (+ (* 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))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(+ (* 1/2 (/ (+ 2 (* 2 beta)) alpha)) (* 2 (/ i alpha)))
(+ 2 (* 2 beta))
(+ 1/2 (* 1/2 (/ (- beta alpha) (+ 2 (+ alpha beta)))))
(+ 1/2 (+ (* -1/2 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (+ alpha beta)))) (* 1/2 (/ (- beta alpha) (+ 2 (+ alpha beta))))))
(+ 1/2 (+ (* 1/2 (/ (- 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 (+ (* 1/2 (/ (- 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))))))))))))
(/ (- beta alpha) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(- (+ (* -1 (/ (* i (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2)))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(- (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(- (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* -1 (/ (* (+ (* -1 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 3) (pow (+ alpha beta) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (+ (* 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) 3)))) (* 4 (/ (- beta alpha) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))))) (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) (* (pow (+ 2 (+ alpha beta)) 2) (pow (+ alpha beta) 2))))) (/ beta (* (+ 2 (+ alpha beta)) (+ alpha beta)))) (/ alpha (* (+ 2 (+ alpha beta)) (+ alpha beta))))
(* (+ 2 (+ alpha beta)) (+ alpha beta))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(+ (* i (+ (* 2 (+ 2 (+ alpha beta))) (+ (* 2 (+ alpha beta)) (* 4 i)))) (* (+ 2 (+ alpha beta)) (+ alpha beta)))
(/ (- 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)))
(/ (+ 2 (* 2 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)
(+ 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 (* 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))))
(* 1/4 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (- (+ (* -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 2))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -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))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (+ (* -1/64 (/ (* (+ alpha beta) (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i))))) (pow i 2))
(* 2 (/ i alpha))
(* i (+ (* 1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha))))
(* 4 i)
(* i (+ 4 (+ (* 2 (/ beta i)) (* 2 (/ 1 i)))))
(* 2 i)
(* i (+ 2 (+ (/ alpha i) (/ beta i))))
(* 1/4 (/ (- beta alpha) (pow i 2)))
(/ (+ (* -1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (pow i 2))) (* 1/4 (- beta alpha))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))) (pow i 2))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (+ (* -1/64 (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (* 1/4 (- beta alpha))) (+ (* -1/64 (/ (* (pow (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) 2) (- beta alpha)) (pow i 2))) (+ (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)) i))))) (pow i 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (* 2 (/ (+ alpha beta) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ (+ 2 (+ alpha beta)) i)) (+ (* 2 (/ (+ alpha beta) i)) (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) (pow i 2))))))
(* 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)
(* 4 (/ i alpha))
(* i (+ (* 2 (/ beta (* alpha i))) (+ (* 4 (/ 1 alpha)) (/ 2 (* alpha i)))))
(* 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)
(* i (+ 2 (+ (* 2 (/ 1 i)) (+ (/ alpha i) (/ beta i)))))
(+ 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)))))
(+ 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)))))
(/ (+ (* 1/16 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -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))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -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)) (* 1/16 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) 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))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(* -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 (* i (- (* -1 (/ (+ 2 (+ alpha beta)) i)) 2)))
Outputs
(* 1/2 (+ 1 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ (* 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 (fma.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 (neg.f64 (*.f64 beta beta)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64)))))) alpha (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))))
(+ (* 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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beta
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(+.f64 alpha beta)
(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(+ beta (* 2 i))
(fma.f64 #s(literal 2 binary64) i beta)
(+ alpha (+ beta (* 2 i)))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)
(+ 1/2 (* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 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 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))
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(+ 1/2 (+ (* 1/2 (/ (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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(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta))
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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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alpha
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(/ (- (+ (* -1 (/ (+ (* -1 (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 2 (+ (* 2 beta) (* 4 i))) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))))) (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (* -1 (+ 2 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ beta alpha)) (+ 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 (+ 2 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2)))))) alpha)
(/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 beta (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 beta (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 beta alpha)) (+.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (fma.f64 (/.f64 (-.f64 beta (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha)))) #s(literal 1 binary64))) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1 binary64)) (*.f64 alpha alpha))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (pow alpha 2)))))))
(*.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) alpha) (*.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))) #s(literal 1 binary64)) (*.f64 alpha alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))))
(-.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)))
(- (+ (* -1 (/ (* (+ beta (* 2 i)) (- beta (* -1 (+ beta (* 2 i))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha))))
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)) #s(literal -1 binary64) (/.f64 beta alpha)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal 1 binary64)))
(- (+ (/ 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)))))
(-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 beta alpha)) (+.f64 (fma.f64 (/.f64 (-.f64 beta (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) #s(literal 1 binary64)))
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(*.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) 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))))))
(*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 beta alpha) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) #s(literal 1 binary64))) alpha)
(* 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))))))
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 beta alpha) (/.f64 beta alpha) (/.f64 beta alpha))) (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i beta))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) #s(literal 1 binary64)))) alpha)
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) #s(literal -1/2 binary64))
(* -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))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) alpha) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal 1/2 binary64))) 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))
(neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) alpha))) 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))
(neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))))) alpha) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal 2 binary64) i beta)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) #s(literal -1/2 binary64))) alpha))) alpha))) alpha))
(* -1 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (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))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) beta (neg.f64 (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) alpha))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) 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))
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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)) 1)
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(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
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(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1)))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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(* 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 (+ (* 2 (/ i beta)) (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) beta)
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(- (+ 2 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (/ alpha beta))) (* -1 (/ (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) beta)))
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(+ 1 (* -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)))
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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(* -1 (* beta (- (* -1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))
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(* -1 (* beta (- (* -1 (/ (+ 2 (* 4 i)) beta)) 2)))
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(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1)))
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(* -1 (/ (- (/ alpha beta) (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* 2 i))) beta)) (* -1 (/ (+ alpha (* 2 i)) beta))))) beta))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))) (* -1 (/ (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- alpha (+ (* -1 (+ 2 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) 1) beta))
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(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta)) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) i) (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha))))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)))) i))) (*.f64 i i))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) i) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) alpha)) i))
(* -1 (* i (- (* -1 (/ (+ 2 (* 2 beta)) i)) 4)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) i)) #s(literal 4 binary64)) i))
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 alpha beta) i)) #s(literal 2 binary64)) i))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (-.f64 beta alpha) (neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha))) i))) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta))))) (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))))) i) (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta))))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i))) (*.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) i))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) i) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 (+ 2 (+ alpha beta))) (+ (* -2 (+ alpha beta)) (* -1 (/ (* (+ 2 (+ alpha beta)) (+ alpha beta)) i)))) i))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (/.f64 (+.f64 alpha beta) i)))) i) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 i i))
(* -1 (/ (+ (* -1/2 (- beta alpha)) (* 1/4 (/ (* (+ alpha beta) (- beta alpha)) i))) i))
(neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 alpha beta) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 beta alpha))) i))
(* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i)) (* 1/4 (* (+ alpha beta) (- beta alpha)))) i)) (* -1/2 (- beta alpha))) i))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) i))) 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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)))) i))) i))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) i)) (/.f64 #s(literal 4 binary64) alpha)) i))
(* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- beta alpha))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- beta alpha)) i))) i))
(neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) 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))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i))) 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))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (-.f64 beta alpha)))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i))) i))
(* -1 (* i (- (* -1 (/ (+ 2 (+ alpha beta)) i)) 2)))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #s(literal 2 binary64)) i))

rewrite292.0ms (1.9%)

Memory
6.9MiB live, 195.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047428
078402
1393396
23373396
08942390
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 737
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #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 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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 alpha beta) (*.f64 #s(literal 2 binary64) i))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))) (-.f64 beta alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))))
(-.f64 beta alpha)
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)
(*.f64 #s(literal 2 binary64) beta)
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha)))
(/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) alpha)))
(/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) #s(literal 3 binary64)) (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) alpha)))
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
(/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) alpha))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) alpha))
(/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) alpha))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha))
(/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(neg.f64 (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (neg.f64 alpha)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 #s(literal 2 binary64) alpha))
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) alpha))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha))
(*.f64 (*.f64 #s(literal 1 binary64) beta) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) beta))
(*.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) beta)
(*.f64 beta #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 beta beta))) (neg.f64 (-.f64 beta beta)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta beta (-.f64 (*.f64 beta beta) (*.f64 beta beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 beta beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 beta beta) (*.f64 beta beta))))
(fma.f64 #s(literal 1 binary64) beta (*.f64 #s(literal 1 binary64) beta))
(fma.f64 beta #s(literal 1 binary64) (*.f64 beta #s(literal 1 binary64)))
(+.f64 (*.f64 beta #s(literal 1 binary64)) (*.f64 beta #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1 binary64) beta))
(+.f64 beta beta)
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) i) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 alpha beta))) (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(fma.f64 (+.f64 i #s(literal 1 binary64)) #s(literal 2 binary64) (+.f64 alpha beta))
(fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) i))
(-.f64 (+.f64 alpha beta) (-.f64 (*.f64 #s(literal -2 binary64) i) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) alpha)
(+.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 2 binary64) i))
(+.f64 (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)) (+.f64 alpha beta))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) (+.f64 alpha #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(+.f64 i (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(+.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i #s(literal 2 binary64)))
(+.f64 alpha (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
(+.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))))

eval255.0ms (1.7%)

Memory
35.6MiB live, 270.8MiB allocated; 22ms collecting garbage
Compiler

Compiled 62 646 to 5 701 computations (90.9% saved)

prune147.0ms (1%)

Memory
-48.5MiB live, 150.7MiB allocated; 83ms collecting garbage
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New1 105181 123
Fresh3912
Picked415
Done000
Total1 112281 140
Accuracy
99.7%
Counts
1 140 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.4%
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
67.4%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶59.0%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
61.4%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
57.7%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
71.7%
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
60.3%
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (/.f64 #s(approx (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (/.f64 (neg.f64 alpha) (fma.f64 #s(literal 2 binary64) i alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.7%
(/.f64 (+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) (-.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) beta) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (neg.f64 alpha)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.4%
(/.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))
▶82.4%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
79.4%
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
24.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
40.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
58.2%
#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 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
17.3%
#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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
79.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶11.0%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
18.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
15.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
19.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
▶21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
7.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
21.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) i) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) alpha)) i)))
9.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
▶34.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓59.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
67.1%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.5%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)))
Compiler

Compiled 2 805 to 1 409 computations (49.8% saved)

simplify243.0ms (1.6%)

Memory
48.6MiB live, 277.8MiB allocated; 70ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 alpha)
cost-diff0
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
cost-diff0
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
cost-diff0
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 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) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
cost-diff2
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
cost-diff2
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64))
cost-diff3
(fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
cost-diff0
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
cost-diff1
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
cost-diff1
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
cost-diff1
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
cost-diff2
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075776
0113748
1303728
21091718
36946718
08840698
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(/.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
alpha
beta
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(-.f64 beta alpha)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
i
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
#s(literal 1/4 binary64)
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))
#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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
#s(literal 4 binary64)
i
#s(literal 2 binary64)
beta
alpha
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
(fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
#s(literal 0 binary64)
alpha
(*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
#s(literal 4 binary64)
i
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(*.f64 alpha alpha)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
(neg.f64 alpha)
alpha
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
(+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) i alpha)
#s(literal 2 binary64)
i
(/.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 beta alpha)
beta
#s(literal 1/2 binary64)
Outputs
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha))
(/.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(/.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 alpha beta)
(+.f64 beta alpha)
alpha
beta
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
i
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (+.f64 beta alpha)) #s(literal 2 binary64))
#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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
(/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
(fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))
#s(literal 4 binary64)
i
#s(literal 2 binary64)
beta
alpha
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
#s(literal 0 binary64)
alpha
(*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
#s(literal 4 binary64)
i
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(*.f64 alpha alpha)
#s(literal 1/2 binary64)
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)))
(neg.f64 alpha)
alpha
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
(*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha))
(+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))
(+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) i alpha)
(fma.f64 i #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
i
(/.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 beta alpha)
beta
#s(literal 1/2 binary64)

localize355.0ms (2.3%)

Memory
-17.6MiB live, 606.0MiB allocated; 117ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
accuracy10.243929934920894
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
accuracy11.291419949472765
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
accuracy25.046867117418753
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
accuracy0.0
(*.f64 alpha alpha)
accuracy0.01953125
(*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
accuracy20.73120004728182
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
accuracy50.065247863670315
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
accuracy0.0
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
accuracy0.01953125
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
accuracy50.065247863670315
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
accuracy41.82808529665864
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
accuracy1.5854321475071398
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
accuracy1.5894548875924097
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
accuracy11.189490839189682
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
accuracy13.565351676630389
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
Samples
153.0ms146×0valid
96.0ms83×1valid
43.0ms26×2valid
6.0ms1×3valid
Compiler

Compiled 740 to 72 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-div: 51.0ms (21.9% of total)
ival-pow: 48.0ms (20.6% of total)
adjust: 43.0ms (18.4% of total)
ival-add: 43.0ms (18.4% of total)
ival-mult: 36.0ms (15.4% of total)
ival-sub: 4.0ms (1.7% of total)
ival-pow2: 4.0ms (1.7% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series326.0ms (2.1%)

Memory
-3.9MiB live, 506.2MiB allocated; 78ms collecting garbage
Counts
22 → 330
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#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 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
(fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
(neg.f64 alpha)
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 alpha alpha)
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
Outputs
(* 1/4 beta)
(+ (* 1/4 alpha) (* 1/4 beta))
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(* alpha (+ 2 alpha))
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(* 2 i)
(* i (+ 2 (+ (/ 1 i) (/ beta i))))
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(* i (+ (* 2 (/ 1 alpha)) (+ (/ 1 (* alpha i)) (/ beta (* alpha i)))))
(* 4 (* alpha i))
(* i (+ (* 4 alpha) (/ (* alpha (+ 2 (* 2 beta))) i)))
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(* i (+ (* 2 (/ beta (* alpha i))) (+ (* 4 (/ 1 alpha)) (/ 2 (* alpha i)))))
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(* -1/4 (/ alpha (pow i 2)))
(/ (+ (* -1/4 alpha) (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1/4 alpha) (+ (* -1/64 (/ (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 2) (+ 2 alpha)) (pow i 2)))))) (pow i 2))
(/ (+ (* -1/4 alpha) (+ (* -1/4 (/ (* (+ (* -1/64 (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3))) (+ (* -1/64 (/ (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* -1/64 (/ (* (pow alpha 2) (* (+ 2 alpha) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (pow i 3))) (+ (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 2) (+ 2 alpha)) (pow i 2)))))))) (pow i 2))
1/8
(+ 1/8 (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6))))
(+ 1/8 (+ (* -1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+ 1/8 (+ (* -1/8 (/ (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 2 (pow (+ 2 (+ alpha beta)) 2)) (* 4 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* 8 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))))) (pow i 8))) (+ (* -1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6))))))
(* 1/16 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1/4 (/ (+ (* -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 2))) (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha))))) (pow i 2))
(/ (+ (* -1/4 (/ (+ (* -1/4 (* (+ (* -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))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (+ (* -1/4 (/ (+ (* -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 2))) (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))))) (pow i 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ alpha i)) (* 2 (/ (+ 2 alpha) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ alpha i)) (+ (* 2 (/ (+ 2 alpha) i)) (/ (* alpha (+ 2 alpha)) (pow i 2))))))
(/ (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 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))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)))))) (* 1/2 (/ (+ (* -1/4 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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))))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))))) i))) i)) (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(- (+ 1/4 (* -1/64 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3)))) (* 1/16 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(- (+ 1/4 (* -1 (/ (- (* -1/4 (/ (+ (* -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)) (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3)))) (* 1/16 (/ (* (+ 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 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) i)) (* 2 (/ (- (* 1/64 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2))) (* -1/4 (+ (* -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))) (* 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 (+ (* 1/32 (/ (* (+ 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)))))
(* -1 (* i (- (* -1 (/ (+ 1 beta) i)) 2)))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ (/ 1 alpha) (/ beta alpha)) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (+ (* -4 alpha) (* -1 (/ (* alpha (+ 2 (* 2 beta))) i)))))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1/4 alpha) (* -1/16 (/ (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 alpha) (* -2 (+ 2 alpha))) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))))) (* -1/64 (* (pow alpha 2) (* (+ 2 alpha) (+ (* -2 alpha) (* -2 (+ 2 alpha))))))) i)) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha))))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(+ 1/8 (+ (* 1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+ 1/8 (+ (* -1 (/ (+ (* -1/32768 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3)))) (* 1/8 (/ (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))))) i))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(/ (+ (* 1/64 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/4 (/ (+ (* -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))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -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)))))) (* 1/4 (/ (+ (* -1/4 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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))))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))))) i))) i)) (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (* -2 (+ 2 alpha))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) i)))) i))))
Calls

9 calls:

TimeVariablePointExpression
53.0ms
beta
@-inf
((* (/ (+ alpha beta) 2) 1/2) (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) 1/2) (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (neg alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (neg alpha) (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2)) (* alpha (+ (* 4 i) (+ (* 2 beta) 2))) (* alpha alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))
47.0ms
beta
@0
((* (/ (+ alpha beta) 2) 1/2) (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) 1/2) (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (neg alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (neg alpha) (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2)) (* alpha (+ (* 4 i) (+ (* 2 beta) 2))) (* alpha alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))
44.0ms
alpha
@0
((* (/ (+ alpha beta) 2) 1/2) (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) 1/2) (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (neg alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (neg alpha) (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2)) (* alpha (+ (* 4 i) (+ (* 2 beta) 2))) (* alpha alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))
29.0ms
i
@-inf
((* (/ (+ alpha beta) 2) 1/2) (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) 1/2) (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (neg alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (neg alpha) (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2)) (* alpha (+ (* 4 i) (+ (* 2 beta) 2))) (* alpha alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))
26.0ms
alpha
@-inf
((* (/ (+ alpha beta) 2) 1/2) (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* 1/2 (+ (* 4 i) 2)) beta) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) 1/2) (/ (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (* alpha alpha)) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (neg alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha))) (neg alpha) (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2)) (* alpha (+ (* 4 i) (+ (* 2 beta) 2))) (* alpha alpha) (* (+ (+ (* 2 i) alpha) 2) (+ (* 2 i) alpha)))

simplify359.0ms (2.3%)

Memory
6.6MiB live, 539.6MiB allocated; 55ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0265267151
0818564657
Stop Event
1×iter limit
1×node limit
Counts
330 → 329
Calls
Call 1
Inputs
(* 1/4 beta)
(+ (* 1/4 alpha) (* 1/4 beta))
(* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(* alpha (+ 2 alpha))
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(* 2 i)
(* i (+ 2 (+ (/ 1 i) (/ beta i))))
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(* i (+ (* 2 (/ 1 alpha)) (+ (/ 1 (* alpha i)) (/ beta (* alpha i)))))
(* 4 (* alpha i))
(* i (+ (* 4 alpha) (/ (* alpha (+ 2 (* 2 beta))) i)))
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(* i (+ (* 2 (/ beta (* alpha i))) (+ (* 4 (/ 1 alpha)) (/ 2 (* alpha i)))))
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(* -1/4 (/ alpha (pow i 2)))
(/ (+ (* -1/4 alpha) (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1/4 alpha) (+ (* -1/64 (/ (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 2) (+ 2 alpha)) (pow i 2)))))) (pow i 2))
(/ (+ (* -1/4 alpha) (+ (* -1/4 (/ (* (+ (* -1/64 (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))) (+ (* 2 alpha) (* 2 (+ 2 alpha)))) (pow i 3))) (+ (* -1/64 (/ (* alpha (pow (+ (* 2 alpha) (* 2 (+ 2 alpha))) 2)) (pow i 2))) (+ (* -1/64 (/ (* (pow alpha 2) (* (+ 2 alpha) (+ (* 2 alpha) (* 2 (+ 2 alpha))))) (pow i 3))) (+ (* 1/16 (/ (* alpha (+ (* 2 alpha) (* 2 (+ 2 alpha)))) i)) (* 1/16 (/ (* (pow alpha 2) (+ 2 alpha)) (pow i 2)))))))) (pow i 2))
1/8
(+ 1/8 (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6))))
(+ 1/8 (+ (* -1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+ 1/8 (+ (* -1/8 (/ (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 2 (pow (+ 2 (+ alpha beta)) 2)) (* 4 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* 8 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))))) (pow i 8))) (+ (* -1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* 8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* 8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6))))))
(* 1/16 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2)))
(/ (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1/4 (/ (+ (* -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 2))) (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha))))) (pow i 2))
(/ (+ (* -1/4 (/ (+ (* -1/4 (* (+ (* -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))))) (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha)))))) (pow i 3))) (+ (* -1/4 (/ (+ (* -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 2))) (+ (* -1/64 (/ (* (+ alpha beta) (* (+ (* 2 (+ 2 (+ alpha beta))) (* 2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))))) (pow i 2))
(* 4 (pow i 2))
(* (pow i 2) (+ 4 (+ (* 2 (/ alpha i)) (* 2 (/ (+ 2 alpha) i)))))
(* (pow i 2) (+ 4 (+ (* 2 (/ alpha i)) (+ (* 2 (/ (+ 2 alpha) i)) (/ (* alpha (+ 2 alpha)) (pow i 2))))))
(/ (+ (* 1/32 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 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))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -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)))))) (* 1/2 (/ (+ (* -1/4 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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))))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))))) i))) i)) (* -1/32 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/8 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(- (+ 1/4 (* -1/64 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) (pow i 3)))) (* 1/16 (/ (* (+ alpha beta) (- beta alpha)) (pow i 2))))
(- (+ 1/4 (* -1 (/ (- (* -1/4 (/ (+ (* -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)) (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) (pow i 3)))) (* 1/16 (/ (* (+ 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 (/ (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2)) i)) (* 2 (/ (- (* 1/64 (* (pow (+ alpha beta) 2) (pow (- beta alpha) 2))) (* -1/4 (+ (* -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))) (* 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 (+ (* 1/32 (/ (* (+ 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)))))
(* -1 (* i (- (* -1 (/ (+ 1 beta) i)) 2)))
(* -1 (* i (- (* -1/2 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (- (* -1 (/ (+ (/ 1 alpha) (/ beta alpha)) i)) (* 2 (/ 1 alpha)))))
(* -1 (* i (+ (* -4 alpha) (* -1 (/ (* alpha (+ 2 (* 2 beta))) i)))))
(* -1 (* i (- (* -1 (/ (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) i)) (* 4 (/ 1 alpha)))))
(/ (+ (* 1/16 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/ (+ (* -1/4 alpha) (* -1/16 (/ (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))) i))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 alpha) (* -2 (+ 2 alpha))) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))))) (* -1/64 (* (pow alpha 2) (* (+ 2 alpha) (+ (* -2 alpha) (* -2 (+ 2 alpha))))))) i)) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha))))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(+ 1/8 (+ (* 1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+ 1/8 (+ (* -1 (/ (+ (* -1/32768 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3)))) (* 1/8 (/ (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))))) i))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(/ (+ (* 1/64 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/4 (/ (+ (* -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))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -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)))))) (* 1/4 (/ (+ (* -1/4 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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))))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))))) i))) i)) (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (* -2 (+ 2 alpha))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) i)))) i))))
Outputs
(* 1/4 beta)
(*.f64 #s(literal 1/4 binary64) beta)
(+ (* 1/4 alpha) (* 1/4 beta))
(*.f64 #s(literal 1/4 binary64) (+.f64 alpha beta))
(* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) 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 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))
(+ (* 1/2 (/ (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 #s(literal 1/2 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (*.f64 alpha (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta beta) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))))))
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(/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))
(/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))
(+ (* -1 (* alpha (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 alpha (-.f64 (*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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))))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* -1 (/ (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))))) (+ (* -1 (/ (* (+ 2 (+ (* 2 beta) (* 4 i))) (+ (/ 1 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (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)))) (/ (* beta (+ 2 (+ (* 2 beta) (* 4 i)))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (/ beta (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
(fma.f64 alpha (-.f64 (*.f64 alpha (-.f64 (*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64))) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(* -1/2 (/ alpha (* i (+ 2 (* 2 i)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))
(* alpha (- (* 1/4 (/ (* alpha (+ 2 (* 4 i))) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i)))))))
(*.f64 alpha (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)))) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))))
(* alpha (- (* alpha (+ (* 1/4 (/ (+ 2 (* 4 i)) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* alpha (+ (* -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)))))))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i)))))))
(*.f64 alpha (-.f64 (*.f64 alpha (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 alpha (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (pow.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))))
(* alpha (- (* alpha (+ (* 1/4 (/ (+ 2 (* 4 i)) (* (pow i 2) (pow (+ 2 (* 2 i)) 2)))) (* alpha (+ (* -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)))) (* alpha (+ (* -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))))))))))) (* 1/2 (/ 1 (* i (+ 2 (* 2 i)))))))
(*.f64 alpha (-.f64 (*.f64 alpha (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 alpha (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (pow.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (*.f64 alpha (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) i) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (pow.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 i i) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))) (pow.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) #s(literal 3 binary64))))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))))
(* -1 alpha)
(neg.f64 alpha)
(+ 1/8 (* 1/8 (/ (pow beta 6) (* (pow (+ 2 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3)))))
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(pow alpha 2)
(*.f64 alpha alpha)
(* 2 (* i (+ 2 (* 2 i))))
(*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* alpha (+ 2 (* 4 i))))
(fma.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i))))
(+ (* 2 (* i (+ 2 (* 2 i)))) (* alpha (+ 2 (+ alpha (* 4 i)))))
(fma.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 4 binary64) i)))))
(* 1/4 alpha)
(*.f64 #s(literal 1/4 binary64) alpha)
(* alpha (+ 1/4 (* 1/4 (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 beta alpha))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) 1/2)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)) #s(literal 1/2 binary64))
(- (+ (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (* 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)))))))) (pow alpha 2)))) 1/2)
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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 3))) (+ (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (* 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)))))))) (pow alpha 2))))) 1/2)
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)))
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(- (+ 1/2 (* -1/4 (/ (- (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)))) (* 1/4 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)))
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(- (+ 1/2 (* 1/4 (/ (+ (* (+ 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)))) (+ (* 1/4 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (* 1/4 (/ (- (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)))))
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(* 1/6 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ 6 (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 i) (* 8 i))))))) alpha))
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (+.f64 #s(literal 6 binary64) (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) beta (*.f64 i #s(literal 12 binary64))))))) alpha))
(/ (- (+ (* 1/6 (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ 6 (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 i) (* 8 i)))))))) (* 1/6 (/ (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* (+ 2 (+ beta (* 2 i))) (+ 4 (+ (* 2 beta) (* 4 i)))) (+ (* (+ 6 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ 6 (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 i) (* 8 i))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ 6 (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 i) (* 8 i)))))))))) alpha))) (* 2/9 (/ (* (- (* 1/4 (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ 6 (+ (* 2 beta) (+ (* 4 beta) (+ (* 4 i) (* 8 i)))))))) alpha))) alpha)
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(* (pow alpha 2) (+ 1 (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha)))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (/.f64 #s(literal 2 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ (* i (+ 2 (* 2 i))) (pow alpha 2))) (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha)) (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (/.f64 #s(literal 2 binary64) alpha)))))
(* -1 (* alpha (- (* -1/4 (/ beta alpha)) 1/4)))
(*.f64 (neg.f64 alpha) (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 beta alpha)) #s(literal 1/4 binary64)))
(- (* -1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)) 1/2)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha)) #s(literal 1/2 binary64))
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(+ 1/2 (* 1/4 (/ (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha)))
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(+ 1/2 (* -1 (/ (- (* 1/4 (/ (- (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)) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)))
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ (+ (* (+ 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)) (* 1/4 (- (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)) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)))
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(* -1/6 (/ (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) alpha))
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* 1/6 (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) (* 2/9 (* (- (* 1/4 (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))) alpha)) (* 1/6 (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))) alpha))
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(+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) (* (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))))) (+ (* 2/9 (* (- (* 1/4 (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* 4 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (* (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))) (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/4 (- (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))))))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))) (* 4/3 (* (- (* 1/6 (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))))))) (* 2/9 (* (- (* 1/4 (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))) (- (* 1/4 (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))))) alpha)) (* 1/6 (- (+ (* -2 (pow beta 2)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (+ (* -1 (pow beta 2)) (pow (+ beta (* 2 beta)) 2)))) (+ (* -1 (+ (* -1 (+ (* -2 (pow (+ 2 (+ beta (* 2 i))) 2)) (* -1 (pow (+ 2 (+ beta (* 2 i))) 2)))) (+ (* -1 (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i))))))) (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))))) (* (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 (+ beta (* 2 i)))))))) (* -1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))))))))))) (* 2/9 (* (- (* 1/4 (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (* 1/4 (- (+ beta (* -1 beta)) (* -1 (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) (- (+ beta (+ (* -1 (+ beta (* 2 beta))) (* 2 beta))) (* -1 (+ (* -1 (+ 2 (+ beta (+ (* 2 i) (* 2 (+ 2 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#s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 beta #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))))) alpha) (-.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 beta #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) beta) (*.f64 (*.f64 beta beta) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 3 binary64) (*.f64 beta 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(+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))))))) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) #s(literal -3 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(fma.f64 #s(literal -1 binary64) (*.f64 beta beta) (pow.f64 (*.f64 #s(literal 3 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) #s(literal -3 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) 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#s(literal 2 binary64) i)))))))) (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))))))) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 beta #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))))) alpha) (fma.f64 #s(literal 1/6 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binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))))) alpha) (*.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) beta))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))) alpha))
(* -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 (/ (+ (* -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))
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(* -1 (/ (+ 1 (* -1 (/ (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (+ (/ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) alpha) (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* -1 (/ (+ 1 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha)) (/ (* (+ 2 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha)) (+ (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))) (* (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- beta (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (+ (* -1 (+ 2 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha))) alpha))
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(* beta (+ 1/4 (* 1/4 (/ alpha beta))))
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(+ 1/2 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
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(+ 1/2 (+ (* 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))))
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(* -1/4 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta))
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(/ (- (* -1/4 (/ (- (* -1 (pow alpha 2)) (+ (* (+ 2 (+ alpha (* 2 i))) (+ alpha (* 2 i))) (* (+ 2 (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) beta)) (* 1/4 (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) beta)
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(/ (+ (* -1 (/ (- (+ (* -1/64 (/ (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha)) i)) (* 1/16 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha))) i))) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) i) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)))) i) (*.f64 #s(literal 1/4 binary64) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* -1/64 (/ (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i))) (+ (* -1/64 (* (pow (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) 2) (- beta alpha))) (* 1/16 (* (+ 2 (+ alpha beta)) (* (+ alpha beta) (- beta alpha)))))) i)) (* 1/16 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) i)) (* 1/4 (- beta alpha))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha))))) i) (-.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha))) i)) (fma.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)))))) i) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i) (*.f64 #s(literal 1/4 binary64) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1/4 alpha) (* -1/16 (/ (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))) i))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) alpha (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) i))) (*.f64 i i))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) alpha) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) alpha))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) alpha) (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) i) (*.f64 #s(literal -1/4 binary64) alpha)) (*.f64 i i))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 alpha) (* -2 (+ 2 alpha))) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha)))))) (* -1/64 (* (pow alpha 2) (* (+ 2 alpha) (+ (* -2 alpha) (* -2 (+ 2 alpha))))))) i)) (+ (* -1/64 (* alpha (pow (+ (* -2 alpha) (* -2 (+ 2 alpha))) 2))) (* 1/16 (* (pow alpha 2) (+ 2 alpha))))) i)) (* 1/16 (* alpha (+ (* -2 alpha) (* -2 (+ 2 alpha)))))) i)) (* -1/4 alpha)) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) alpha) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))) i) (fma.f64 (*.f64 #s(literal -1/64 binary64) alpha) (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) alpha)))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) alpha) (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))) i) (*.f64 #s(literal -1/4 binary64) alpha)) (*.f64 i i))
(+ 1/8 (+ (* 1/32768 (/ (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/32768 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -8 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 12 binary64) (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64)))) (pow.f64 i #s(literal 7 binary64))) (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))))))
(+ 1/8 (+ (* -1 (/ (+ (* -1/32768 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (pow (- beta alpha) 3)))) (* 1/8 (/ (+ (* -1/262144 (* (pow (+ alpha beta) 3) (* (pow (+ (* -8 (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta))))) (* -8 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) 2) (pow (- beta alpha) 3)))) (* 1/4096 (* (pow (+ alpha beta) 3) (* (+ (* -8 (+ (* -4 (pow (+ 2 (+ alpha beta)) 2)) (* -2 (pow (+ 2 (+ alpha beta)) 2)))) (+ (* -8 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (pow (+ alpha beta) 2)))) (* (+ (* 4 (+ 2 (+ alpha beta))) (* 8 (+ 2 (+ alpha beta)))) (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow (- beta alpha) 3))))) i))) (pow i 7))) (* 1/512 (/ (* (pow (+ alpha beta) 3) (pow (- beta alpha) 3)) (pow i 6)))))
(+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/32768 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -8 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 12 binary64) (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/262144 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal -8 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 12 binary64) (*.f64 (+.f64 alpha beta) #s(literal 12 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -6 binary64)) (fma.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 12 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 12 binary64))))) (pow.f64 (-.f64 beta alpha) #s(literal 3 binary64))))) i))) (pow.f64 i #s(literal 7 binary64))) (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))))))
(/ (+ (* 1/64 (/ (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1 (/ (+ (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))) (* 1/4 (/ (+ (* -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))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) i))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) (*.f64 i i))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -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)))))) (* 1/4 (/ (+ (* -1/4 (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -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))))))) (* -1/64 (* (+ 2 (+ alpha beta)) (* (pow (+ alpha beta) 2) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha)))))) i))) i)) (* -1/64 (* (+ alpha beta) (* (+ (* -2 (+ 2 (+ alpha beta))) (* -2 (+ alpha beta))) (- beta alpha))))) i)) (* 1/16 (* (+ alpha beta) (- beta alpha)))) (pow i 2))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 beta alpha)) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)))) (*.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (-.f64 beta alpha)))) i))) i) (*.f64 (*.f64 #s(literal -1/64 binary64) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (-.f64 beta alpha)))) i) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 beta alpha))) (*.f64 i i))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (* -2 (+ 2 alpha))) i))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) i))))
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -2 alpha) (+ (* -2 (+ 2 alpha)) (* -1 (/ (* alpha (+ 2 alpha)) i)))) i))))
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 (/.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) i))) i))))

rewrite194.0ms (1.3%)

Memory
41.3MiB live, 270.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075551
0113523
1640435
25691435
08405421
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 526
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
#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 #s(literal 4 binary64) i #s(literal 2 binary64)) beta)
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)
(fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))))
(/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))
(neg.f64 alpha)
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 alpha alpha)
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))
(/.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 beta alpha))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 (/.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 beta #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 i #s(literal 2 binary64)) alpha))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha))) (-.f64 (*.f64 i #s(literal 2 binary64)) alpha))
(/.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i)) (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))) (-.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) i) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (-.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)) (*.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha))) (*.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) alpha)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha))) (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 i #s(literal 2 binary64)) alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64)))) (*.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 i #s(literal 2 binary64)) alpha) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 alpha) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (-.f64 (*.f64 i #s(literal 2 binary64)) alpha) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64))))) (-.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 3 binary64)) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 i #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 alpha (-.f64 alpha (*.f64 i #s(literal 2 binary64))))) (-.f64 (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) i) #s(literal 2 binary64) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)) (neg.f64 (fma.f64 i #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (fma.f64 i #s(literal 2 binary64) alpha)) (fabs.f64 (fma.f64 i #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 i #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i))
(fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(fma.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(fma.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 (*.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))
(fma.f64 i (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 #s(literal 2 binary64) (*.f64 i (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(fma.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) alpha) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(fma.f64 alpha (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i))
(-.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (neg.f64 alpha) (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))
(-.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (neg.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) alpha))
(+.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (fma.f64 i #s(literal 2 binary64) alpha)))
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (*.f64 i #s(literal 2 binary64))) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha) (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i))
(+.f64 (*.f64 (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) i) (*.f64 (+.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) alpha))
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))
(+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))

eval221.0ms (1.4%)

Memory
-25.3MiB live, 394.6MiB allocated; 58ms collecting garbage
Compiler

Compiled 134 582 to 5 468 computations (95.9% saved)

prune57.0ms (0.4%)

Memory
52.7MiB live, 136.3MiB allocated; 13ms collecting garbage
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New87718895
Fresh101222
Picked325
Done011
Total89033923
Accuracy
99.8%
Counts
923 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.4%
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
82.4%
(fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
67.4%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓59.0%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
36.4%
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶82.5%
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
▶61.4%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
57.7%
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
82.4%
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))))
71.7%
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.4%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 #s(approx (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
4.8%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(approx (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
▶79.4%
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
82.5%
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
24.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
40.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
58.2%
#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 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
26.7%
#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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 i (*.f64 #s(literal -1/2 binary64) (fma.f64 i (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (+.f64 alpha beta)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta))))))))
17.3%
#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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
▶79.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
6.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 alpha alpha) (*.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha))) #s(literal 1/2 binary64)))
5.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
15.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha)))
9.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.f64 #s(literal 2 binary64) i)) alpha)))
▶7.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
21.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) #s(approx (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (*.f64 i (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) i))))))
✓34.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓59.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
38.2%
#s(approx (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
67.1%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.5%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)))
Compiler

Compiled 4 525 to 1 804 computations (60.1% saved)

simplify366.0ms (2.4%)

Memory
-24.3MiB live, 311.9MiB allocated; 233ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
cost-diff0
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
cost-diff0
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff1
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 beta alpha)
cost-diff0
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
cost-diff0
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
cost-diff0
(*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))
cost-diff2
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))
cost-diff51
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))))
cost-diff103
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0701349
01101333
12571219
28781111
359551111
084621094
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))
(+.f64 beta alpha)
beta
alpha
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
i
#s(literal 2 binary64)
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
(/.f64 beta alpha)
beta
alpha
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(-.f64 beta alpha)
beta
alpha
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
#s(literal 2 binary64)
i
(+.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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
beta
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
beta
alpha
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
i
#s(literal 2 binary64)
(+.f64 beta alpha)
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64))
Outputs
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
#s(literal 1/8 binary64)
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))
(fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta))
(+.f64 beta alpha)
(+.f64 alpha beta)
beta
alpha
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(-.f64 beta alpha)
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
i
#s(literal 2 binary64)
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal -1/2 binary64)) (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
(/.f64 beta alpha)
beta
alpha
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
(-.f64 beta alpha)
beta
alpha
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
#s(literal 2 binary64)
i
(+.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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
beta
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) i beta)
#s(literal 2 binary64)
i
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))
(-.f64 beta alpha)
beta
alpha
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))
i
#s(literal 2 binary64)
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)
#s(literal 1 binary64)
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 1 binary64))

localize299.0ms (1.9%)

Memory
19.6MiB live, 532.6MiB allocated; 53ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.09994125976844202
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
accuracy1.5934768597694708
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
accuracy13.567085758985991
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64))
accuracy24.738617235765364
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.00390625
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))
accuracy0.0234375
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
accuracy0.02734375
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
accuracy13.044335708830072
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
accuracy0.0078125
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
accuracy0.10546875
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
accuracy11.233727563448214
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy25.53077961010272
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
accuracy0.0
(/.f64 beta alpha)
accuracy44.45398936516517
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
accuracy50.065247863670315
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
accuracy0.11365131837909413
(pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
accuracy1.6110795892582397
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))
accuracy11.223196236717378
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))))
accuracy13.566221245237715
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))
Samples
113.0ms84×1valid
83.0ms145×0valid
41.0ms26×2valid
2.0ms1×3valid
Compiler

Compiled 1 419 to 70 computations (95.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 43.0ms (24.4% of total)
adjust: 35.0ms (19.9% of total)
ival-add: 34.0ms (19.3% of total)
ival-div: 33.0ms (18.8% of total)
ival-pow: 17.0ms (9.7% of total)
ival-sub: 9.0ms (5.1% of total)
ival-pow2: 4.0ms (2.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.1s (13.9%)

Memory
36.7MiB live, 2 349.3MiB allocated; 511ms collecting garbage
Counts
26 → 605
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
(fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))
(*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
(/.f64 beta alpha)
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))
(pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64))
Outputs
(/ (+ (* 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (* (pow beta 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (pow (+ beta (* 2 i)) 3)))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2))
(+ (* alpha (- (+ (* 1/8 (/ (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2))) (+ (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))))) (/ (* (pow beta 3) (+ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow beta 3) (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2)))))) (+ (* 2 (/ (* (+ (* 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (* (pow beta 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (pow (+ beta (* 2 i)) 3)))) (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 3))) (/ (* (pow beta 6) (+ (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 3) (+ (* 2 (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2)) (* 4 (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 6) (* (pow (+ beta (* 2 i)) 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))))) (+ (/ 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (pow beta 6) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))))
(+ (* alpha (- (+ (* 1/8 (/ (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2))) (+ (* alpha (- (+ (* 1/8 (/ (- (+ (* 2 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2)))) (/ (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (+ (* -1 (/ (- 1/2 (/ 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3/4
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-1/2
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(* 2 alpha)
(* alpha (+ 2 (* 2 (/ (+ 2 (+ beta (* 2 i))) alpha))))
(- (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) 1/2)
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(* -1 alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
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(* -1/4 (/ (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i)))) alpha))
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(* 4 i)
(* i (+ 4 (* 2 (/ (+ 2 (+ alpha beta)) i))))
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(/ (+ (* -1/4 (/ (* beta (+ 2 beta)) i)) (* 1/2 beta)) i)
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(- (+ (* 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)))) 1)
Calls

9 calls:

TimeVariablePointExpression
622.0ms
alpha
@0
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380.0ms
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355.0ms
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170.0ms
alpha
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113.0ms
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simplify1.3s (8.3%)

Memory
1.1MiB live, 1 290.6MiB allocated; 245ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05906352023
08966338304
Stop Event
1×iter limit
1×node limit
Counts
605 → 603
Calls
Call 1
Inputs
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(* 4 i)
(* i (+ 4 (* 2 (/ (+ 2 (+ alpha beta)) i))))
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(/ (+ (* -1/4 (/ (* beta (+ 2 beta)) i)) (* 1/2 beta)) i)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ (pow beta 4) i)) (* 1/8 (pow beta 3))) i)) (* 1/4 (pow beta 2))) i)) (* -1/2 beta)) i))
(* -1 (* i (- (* -1 (/ (+ 2 beta) i)) 2)))
(- (+ (* 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)))) 1)
Outputs
(/ (+ (* 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (* (pow beta 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (pow (+ beta (* 2 i)) 3)))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2))
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(+ (* alpha (- (+ (* 1/8 (/ (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2))) (+ (/ (* (pow beta 3) (+ (* 2 (pow beta 2)) (pow beta 2))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))))) (/ (* (pow beta 3) (+ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow beta 3) (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 2)))))) (+ (* 2 (/ (* (+ (* 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (* (pow beta 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (pow (+ beta (* 2 i)) 3)))) (- (/ (* (pow beta 2) (* (+ 4 (* 4 (+ beta (* 2 i)))) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (/ (* beta (+ (* -1 (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* beta (- (/ (* (pow beta 2) (+ 4 (* 4 (+ beta (* 2 i))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2) (pow (+ beta (* 2 i)) 2))) (+ (* -1 (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) (/ beta (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (/ (* beta (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))) (pow (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))) 3))) (/ (* (pow beta 6) (+ (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 3) (+ (* 2 (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2)) (* 4 (pow (+ 4 (* 2 (+ beta (* 2 i)))) 2)))))) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 6) (* (pow (+ beta (* 2 i)) 6) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))))) (+ (/ 1/8 (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (/ (pow beta 6) (* (pow (+ 4 (* 2 (+ beta (* 2 i)))) 3) (* (pow (+ beta (* 2 i)) 3) (- 1/4 (/ (* (pow beta 2) (- 1/2 (/ (pow beta 2) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))))) (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))))))))))
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(* 1/2 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))
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(/ beta alpha)
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(* 2 (+ 2 (+ beta (* 2 i))))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))
(+ (* 2 alpha) (* 2 (+ 2 (+ beta (* 2 i)))))
(fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))
(+ 1/2 (* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i))))))
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(* 1/2 (/ (pow beta 2) (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))))
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(/ (pow beta 2) (+ beta (* 2 i)))
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(* 16/9 (/ (- (+ (* 1/8 (+ (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))))) (+ (* -3/4 (+ beta (* 2 beta))) (* 3/4 (+ beta (* 2 beta)))))) (* 1/8 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))))))) (* -3/256 (+ (* 4 (+ 4 (* 2 (+ beta (* 2 i))))) (+ (* 8 (+ 4 (* 2 (+ beta (* 2 i))))) (* 8 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))))) alpha))
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3/4
#s(literal 3/4 binary64)
(- (+ 3/4 (* -1/4 (/ (+ 4 (* 4 (+ beta (* 2 i)))) alpha))) (* 1/2 (/ (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) alpha)))
(-.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) alpha))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) alpha)))
(- (+ 3/4 (+ (* -1/4 (/ (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1/4 (/ (+ 4 (* 4 (+ beta (* 2 i)))) alpha)) (* 1/2 (/ (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))) (pow alpha 2)))))) (+ (* 1/2 (/ (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) alpha)) (* 1/2 (/ (+ (* -1 (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))) (+ (* beta (+ beta (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (* beta (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (pow alpha 2)))))
(-.f64 (+.f64 #s(literal 3/4 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 alpha alpha)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) alpha) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) (*.f64 alpha alpha)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) alpha) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta))) (fma.f64 beta (-.f64 beta (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta)))))) (*.f64 beta (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) (*.f64 alpha alpha)))))
(- (+ 3/4 (+ (* -1/4 (/ (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1/4 (/ (+ 4 (* 4 (+ beta (* 2 i)))) alpha)) (+ (* 1/2 (/ (* (+ 4 (* 2 (+ beta (* 2 i)))) (* (+ beta (* 2 i)) (- (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i)))))))) (pow alpha 3))) (+ (* 1/2 (/ (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))) (pow alpha 2))) (* 1/2 (/ (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ (* -1 (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))) (+ (* beta (+ beta (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (* beta (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))))) (pow alpha 3)))))))) (+ (* 1/2 (/ (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) alpha)) (+ (* 1/2 (/ (+ (* -1 (+ (* 1/2 (* (+ 4 (* 2 (+ beta (* 2 i)))) (* (+ beta (* 2 i)) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (pow beta 2)) (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i)))))))))))))) (+ (* beta (+ (* -1 (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))) (* beta (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (* beta (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))))) (pow alpha 3))) (* 1/2 (/ (+ (* -1 (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))) (+ (* beta (+ beta (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (* beta (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (pow alpha 2))))))
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#s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta)))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) (*.f64 alpha alpha)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 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binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))) (pow.f64 alpha #s(literal 3 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))))))) (fma.f64 beta (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta))) (*.f64 beta (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta)))))) (*.f64 beta (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta)))))) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))) (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta beta))) (fma.f64 beta (-.f64 beta (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta)))))) (*.f64 beta (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) (*.f64 alpha alpha))))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) alpha)) (+ 1/2 (* -1/4 (/ (+ 4 (* 4 (+ beta (* 2 i)))) alpha))))
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(- (+ (* 1/2 (/ (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) alpha)) (* 1/2 (/ (+ (* -1 (- (+ (* -1/4 (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i)))) (* 1/2 (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))))) (* 1/2 (pow beta 2)))) (+ (* beta (+ beta (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (* beta (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta))))))) (pow alpha 2)))) (+ 1/2 (+ (* -1/4 (/ (* (+ 4 (* 2 (+ beta (* 2 i)))) (+ beta (* 2 i))) (pow alpha 2))) (+ (* -1/4 (/ (+ 4 (* 4 (+ beta (* 2 i)))) alpha)) (* 1/2 (/ (* (+ 4 (* 4 (+ beta (* 2 i)))) (- (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))) (* 1/2 (+ beta (* -1 beta)))))))) (* -1/4 (+ 4 (* 4 (+ beta (* 2 i))))))) (pow alpha 2)))))))
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(* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))))))))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))))))))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))))))) (*.f64 alpha alpha)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))))) alpha))))) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* alpha (+ 2 (* 2 (/ (+ 2 (+ beta (* 2 i))) alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) alpha))))
(- (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) 1/2)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)) #s(literal 1/2 binary64))
(- (+ (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (* 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)))))))) (pow alpha 2)))) 1/2)
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))))) (*.f64 alpha alpha)))) #s(literal 1/2 binary64))
(- (+ (* -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 3))) (+ (* 1/2 (/ (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) alpha)) (* 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)))))))) (pow alpha 2))))) 1/2)
(-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))))))) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 beta beta) (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)))))))) (*.f64 alpha alpha))))) #s(literal 1/2 binary64))
(* -1 alpha)
(*.f64 #s(literal -1 binary64) alpha)
(* alpha (- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 i)) alpha)))))
(*.f64 alpha (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) 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))))))
(*.f64 alpha (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha) (/.f64 (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 alpha alpha))))))
(* 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))))))
(*.f64 alpha (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) (pow.f64 alpha #s(literal 3 binary64))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha) (/.f64 (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 alpha alpha))))))
(* -1/4 (/ (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i)))) alpha))
(*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) beta (*.f64 #s(literal 8 binary64) i)))) alpha))
(/ (+ (* -1/4 (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (* 1/2 (/ (- (* -1/2 (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (+ (* 2 beta) (* 4 i))) (+ (* (+ 4 (+ (* 4 beta) (* 8 i))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/4 (* (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) beta (*.f64 #s(literal 8 binary64) i)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 beta beta) (*.f64 #s(literal 2 binary64) (*.f64 beta beta))) (fma.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i)) (fma.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) beta (*.f64 #s(literal 8 binary64) i))) (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) beta (*.f64 #s(literal 8 binary64) i)))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) beta (*.f64 #s(literal 8 binary64) i))))))) alpha))) alpha)
(/ (+ (* -1/4 (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (+ (* 1/2 (/ (- (* -1/2 (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (+ (* 2 beta) (* 4 i))) (+ (* (+ 4 (+ (* 4 beta) (* 8 i))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/4 (* (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))))) alpha)) (* 1/2 (/ (- (* -1/2 (- (+ (* -2 (pow beta 3)) (* 2 (pow beta 3))) (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (+ (* (+ 4 (+ (* 4 beta) (* 8 i))) (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (+ (* 2 beta) (* 4 i))) (+ (* (+ 4 (+ (* 4 beta) (* 8 i))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (* (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (+ (* 2 beta) (* 4 i))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (* (pow (+ 2 (+ beta (* 2 i))) 2) (+ (* 2 beta) (* 4 i)))))))) (+ (* -1/2 (* (- (* -1/2 (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* (+ 4 (+ (* 2 beta) (* 4 i))) (+ (* 2 beta) (* 4 i))) (+ (* (+ 4 (+ (* 4 beta) (* 8 i))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* 1/4 (* (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))) (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 i))))))) (- (+ beta (* -1 beta)) (* -1 (+ 2 (+ (* 2 beta) (* 4 i))))))) (* 1/4 (* (- (+ (* -2 beta) (* 2 beta)) (+ 4 (+ (* 4 beta) (* 8 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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#s(literal -1/8 binary64)
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alpha
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
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-2
#s(literal -2 binary64)
(- (+ (* -1 (/ beta alpha)) (/ beta alpha)) (+ 2 (* -1 (/ (+ 2 (+ (* 2 beta) (* 4 i))) alpha))))
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(+ 3/4 (* -1 (/ (- (* -1/4 (+ (* -2 (+ beta (* 2 i))) (* -1 (+ 4 (* 2 (+ beta (* 2 i))))))) (* 1/2 (+ beta (+ (* -1 beta) (* -1 (- (* -1/4 (+ (* -2 (+ beta (* 2 i))) (* -1 (+ 4 (* 2 (+ beta (* 2 i))))))) (* 1/2 (+ beta (* -1 beta))))))))) alpha)))
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(* -1 (* alpha (- (* -2 (/ (+ 2 (+ beta (* 2 i))) alpha)) 2)))
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binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))))) alpha) (*.f64 #s(literal -1/4 binary64) (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) alpha))
(* -1 (/ (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) beta (*.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha))
(* -1 (/ (- (+ (* -2 beta) (+ (* -1 (/ (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* 4 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (* (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))) (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) alpha)) (* 2 beta))) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha))
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(* -1 (/ (- (+ (* -2 beta) (+ (* -1 (/ (- (+ (* -4 (pow beta 2)) (+ (* -1 (/ (- (+ (* -2 (pow beta 3)) (* 2 (pow beta 3))) (+ (* -2 (* (+ 2 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (+ (* -2 (* (pow (+ 2 (+ beta (* 2 i))) 2) (+ beta (* 2 i)))) (+ (* (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))) (- (+ (* -4 (pow beta 2)) (* 2 (pow beta 2))) (+ (* 4 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (* (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))) (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (* (+ (* 4 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))))))) alpha)) (* 2 (pow beta 2)))) (+ (* 4 (* (+ 2 (+ beta (* 2 i))) (+ beta (* 2 i)))) (+ (* (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))) (- (+ (* -2 beta) (* 2 beta)) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i)))))) (+ (pow (+ 2 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) alpha)) (* 2 beta))) (+ (* -2 (+ 2 (+ beta (* 2 i)))) (* -2 (+ beta (* 2 i))))) alpha))
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(- (* -1 (/ (- (* 1/2 (+ beta (* -1 beta))) (* -1/4 (+ (* -2 (+ beta (* 2 i))) (* -1 (+ 4 (* 2 (+ beta (* 2 i)))))))) alpha)) 1/2)
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1/4
#s(literal 1/4 binary64)
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(+ 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))))
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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)))))
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(* beta (+ (* 1/2 (/ (+ (* 4 (/ i alpha)) (* 2 (/ 1 alpha))) beta)) (/ 1 alpha)))
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(* 2 beta)
(*.f64 #s(literal 2 binary64) beta)
(* beta (+ 2 (* 2 (/ (+ 2 (+ alpha (* 2 i))) beta))))
(*.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) beta))))
(+ 1/2 (* 1/2 (/ (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) beta)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)))
(+ 1/2 (+ (* 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))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))) (*.f64 beta beta)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta))))
(+ 1/2 (+ (* -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)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))))) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))) (*.f64 beta beta)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)))))
beta
(* beta (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ i beta))))
(*.f64 beta (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 alpha beta))) (*.f64 #s(literal 2 binary64) (/.f64 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)))))
(*.f64 beta (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 alpha beta) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 #s(literal -1 binary64) alpha) (*.f64 #s(literal 2 binary64) i))) (*.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 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 alpha beta) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 #s(literal -1 binary64) alpha) (*.f64 #s(literal 2 binary64) i))))) (pow.f64 beta #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 #s(literal -1 binary64) alpha) (*.f64 #s(literal 2 binary64) i))) (*.f64 beta beta)))))
(+ 1 (* -1/2 (/ (+ 2 (* 4 i)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))) (*.f64 beta beta)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 4 i)) beta)) (+ (* -1/2 (/ (+ (* -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))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 i (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))))) (pow.f64 beta #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))) (*.f64 beta beta))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 4 i)) beta)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))
(- (+ 2 (* -1 (/ (+ (* -1 (pow (+ 2 (* 4 i)) 2)) (* 2 (* i (+ 2 (* 2 i))))) (pow beta 2)))) (+ (* 4 (/ i beta)) (* 2 (/ 1 beta))))
(-.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))))) (*.f64 beta beta)))) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta))))
(- (+ 2 (* -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))))))
(-.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 i (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)))))))) (pow.f64 beta #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) #s(literal 2 binary64)) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 i (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i))) (*.f64 beta beta)) (fma.f64 #s(literal 4 binary64) (/.f64 i beta) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(+ 1 (* -1 (/ (+ 2 (* 2 i)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) beta)))
(- (+ 1 (/ (pow (+ 2 (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 beta beta))) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta))))
(- (+ 1 (* -1 (/ (pow (+ 2 (* 2 i)) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 (* 2 i)) 2) (pow beta 2))) (+ (* 2 (/ i beta)) (* 2 (/ 1 beta)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) beta) #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 beta beta)) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta)))))
(* 1/2 (/ (- (+ (* -2 alpha) (* 2 alpha)) (+ 4 (+ (* 4 alpha) (* 8 i)))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha (*.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) alpha (*.f64 #s(literal 8 binary64) i)))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))
(+ (* 1/2 (/ (- (+ (* -4 (/ (pow alpha 2) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))) (* 2 (/ (pow alpha 2) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))))) (+ (/ (* (+ 4 (+ (* 2 alpha) (* 4 i))) (+ (* 2 alpha) (* 4 i))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (+ (/ (* (+ 4 (+ (* 4 alpha) (* 8 i))) (- (+ (* -2 alpha) (* 2 alpha)) (+ 4 (+ (* 4 alpha) (* 8 i))))) (- (+ alpha (* -1 alpha)) (+ 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))))))) (- (+ (* -2 alpha) (* 2 alpha)) (+ 4 (+ (* 4 alpha) (* 8 i))))) (pow (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))) 2)) (+ (/ (pow (+ 2 (+ alpha (* 2 i))) 2) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i))))) (/ (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))))))) beta)) (* 1/2 (/ (- (+ (* -2 alpha) (* 2 alpha)) (+ 4 (+ (* 4 alpha) (* 8 i)))) (- (+ alpha (* -1 alpha)) (+ 2 (+ (* 2 alpha) (* 4 i)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 alpha alpha) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha alpha) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) alpha (*.f64 #s(literal 8 binary64) i))) (-.f64 (fma.f64 #s(literal -2 binary64) alpha (*.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) alpha (*.f64 #s(literal 8 binary64) i))))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))) (-.f64 (fma.f64 #s(literal -2 binary64) alpha (*.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) alpha (*.f64 #s(literal 8 binary64) i))))) (pow.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) #s(literal 2 binary64)) (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))))))) beta) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) alpha (*.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) alpha (*.f64 #s(literal 8 binary64) i)))) (-.f64 (+.f64 alpha (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))))))
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rewrite316.0ms (2.1%)

Memory
43.9MiB live, 448.4MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070993
0110926
1582782
25029782
08118775
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 568
Calls
Call 1
Inputs
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(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))
(*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha))
(/.f64 beta alpha)
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64))
(/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))
(*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))
(pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))
(/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))))) (fma.f64 (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) beta) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) alpha) #s(literal 1 binary64)))

eval2.1s (13.8%)

Memory
9.4MiB live, 1 577.1MiB allocated; 1.9s collecting garbage
Compiler

Compiled 928 337 to 12 717 computations (98.6% saved)

prune191.0ms (1.2%)

Memory
37.8MiB live, 225.8MiB allocated; 13ms collecting garbage
Pruning

43 alts after pruning (37 fresh and 6 done)

PrunedKeptTotal
New2 391192 410
Fresh71825
Picked235
Done033
Total2 400432 443
Accuracy
99.8%
Counts
2 443 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.9%
(fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
82.4%
(fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) (+.f64 alpha beta) #s(literal 1/2 binary64))
67.4%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
✓59.0%
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
36.4%
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
✓82.5%
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
4.8%
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) #s(approx (- 1/4 (* (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) 2) 4))) (- 1/2 (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) 2) 4)))))) (-.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) alpha))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) alpha))))))
36.5%
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
60.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64)))) #s(literal 2 binary64)))
60.7%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64)))) #s(literal 2 binary64)))
4.5%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (- (* (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (+ (* i 2) (+ beta alpha)) 2)) (+ beta alpha)) 1) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 beta alpha) (/.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))) alpha))))) #s(literal 2 binary64)))
61.4%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 2 binary64))))
60.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
61.4%
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (*.f64 (+.f64 alpha beta) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
82.4%
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))))
4.8%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(approx (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 0 binary64) beta (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
57.7%
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
79.4%
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
71.7%
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 i (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))))) #s(literal 1/2 binary64))
28.8%
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
82.5%
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
4.7%
(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
40.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (fma.f64 (/.f64 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
58.2%
#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 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
26.7%
#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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 i (*.f64 #s(literal -1/2 binary64) (fma.f64 i (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (+.f64 alpha beta)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta))))))))
17.3%
#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 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 beta beta (*.f64 (+.f64 (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 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))) alpha))) alpha))
✓79.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
65.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
6.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (*.f64 alpha alpha) (*.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha))) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha))) #s(literal 1/2 binary64)))
5.4%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
72.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
15.5%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha)))
9.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.f64 #s(literal 2 binary64) i)) alpha)))
✓7.1%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
21.8%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
21.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) #s(approx (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (*.f64 i (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) i))))))
41.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 beta beta) (*.f64 i i))))))
24.9%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))))
✓34.6%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1 binary64))
✓59.7%
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(literal 1/2 binary64))
67.1%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
58.5%
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)))
Compiler

Compiled 8 766 to 1 821 computations (79.2% saved)

regimes187.0ms (1.2%)

Memory
-1.7MiB live, 135.8MiB allocated; 13ms collecting garbage
Counts
73 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha 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 (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 beta beta) (*.f64 i i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #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 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))) (/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (/.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) #s(approx (- 1/4 (* (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) 2) 4))) (- 1/2 (* (+ beta alpha) (/ (/ (- beta alpha) (+ (* i 2) (+ beta alpha))) (+ (* (+ (* i 2) (+ beta alpha)) 2) 4)))))) (-.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) alpha))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (fma.f64 #s(literal -1 binary64) beta (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 #s(literal -1 binary64) beta))))))) alpha))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (pow.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))))))))
#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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (*.f64 i (*.f64 #s(literal -1/2 binary64) (fma.f64 i (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 beta alpha)) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) (+.f64 alpha beta)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha beta))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta)) #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha)) (+.f64 alpha beta) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha))) (fma.f64 (neg.f64 (+.f64 alpha beta)) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (+.f64 alpha beta)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
(fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
Calls

7 calls:

53.0ms
alpha
39.0ms
(/.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)))
27.0ms
i
17.0ms
(*.f64 #s(literal 2 binary64) i)
17.0ms
beta
Results
AccuracySegmentsBranch
82.5%1(*.f64 #s(literal 2 binary64) i)
97.6%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)))
97.6%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))
97.6%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))
88.4%2alpha
82.5%1beta
82.5%1i
Compiler

Compiled 87 to 55 computations (36.8% saved)

regimes49.0ms (0.3%)

Memory
-11.2MiB live, 33.8MiB allocated; 4ms collecting garbage
Counts
40 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha 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 (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 beta beta) (*.f64 i i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #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 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #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 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 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 (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) #s(approx (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (*.f64 i (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #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(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 i (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) i) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) alpha)) i)))
(+.f64 #s(approx (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 beta (*.f64 #s(literal -1 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (*.f64 #s(literal 4 binary64) i))))) alpha)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (+.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (+.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) i)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (neg.f64 alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (/.f64 (+.f64 beta 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
Calls

3 calls:

29.0ms
(+.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))
9.0ms
(/.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)))
8.0ms
(/.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
96.1%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)))
96.1%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))
96.1%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 81 to 41 computations (49.4% saved)

regimes52.0ms (0.3%)

Memory
-16.4MiB live, 29.4MiB allocated; 2ms collecting garbage
Counts
34 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha 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 (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 beta beta) (*.f64 i i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha alpha)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(approx (/ (+ 1/8 (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 3)) (+ (- 1/4 (* (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2)) (* (/ (+ alpha beta) 2) 1/2))) (pow (* (/ (+ alpha beta) 2) (/ (/ (- beta alpha) (+ (* 2 i) (+ alpha beta))) (+ (+ (* 2 i) (+ alpha beta)) 2))) 2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 i i)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) beta (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) alpha) #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 #s(literal 1/8 binary64) i) (*.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) i)) #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 (-.f64 (*.f64 #s(literal 0 binary64) alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) beta) #s(literal 1/2 binary64) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) #s(literal 2 binary64)) beta)) alpha) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (neg.f64 alpha)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal 2 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 (fma.f64 beta (/.f64 beta (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 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))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) #s(approx (/ (+ (* 1/2 (+ (* 4 i) 2)) beta) alpha) (*.f64 i (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 (fma.f64 #s(literal 0 binary64) alpha (*.f64 alpha (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (*.f64 alpha alpha)) #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(literal 1/2 binary64) (/.f64 (*.f64 (neg.f64 alpha) alpha) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i alpha))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 i (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)))))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) i 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(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 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)))
7.0ms
(/.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))
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
96.0%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)))
96.0%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))
96.0%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 81 to 41 computations (49.4% saved)

regimes14.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
19 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
#s(approx (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha 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 (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) i)) beta)))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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) #s(approx (* (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) 1/2) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 beta beta) (*.f64 i i))))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (+.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) alpha) (/.f64 beta alpha))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) (*.f64 (/.f64 #s(approx (+ (* 0 alpha) (* alpha (+ (* 4 i) (+ (* 2 beta) 2)))) (*.f64 (*.f64 #s(literal 4 binary64) alpha) i)) (*.f64 alpha 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(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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 (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

4.0ms
(/.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)))
4.0ms
(/.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))
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))
Results
AccuracySegmentsBranch
94.7%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)))
94.7%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))
94.7%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))
Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Counts
13 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) 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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) #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 (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64))) alpha) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) #s(approx (* (+ (+ (* 2 i) (+ alpha beta)) 2) 2) (*.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) i #s(literal 2 binary64)) beta) alpha)))
Outputs
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))
Calls

3 calls:

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
94.2%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)))
94.2%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))
94.2%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))
Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes7.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
8 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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:

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 (+.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))
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
93.9%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)))
93.9%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))
93.9%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))
Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes13.0ms (0.1%)

Memory
-35.6MiB live, 13.7MiB allocated; 6ms collecting garbage
Counts
7 → 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) 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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (*.f64 (/.f64 i alpha) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (*.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 (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.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

4 calls:

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))
2.0ms
alpha
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 (+.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
64.6%2alpha
87.3%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)))
87.3%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))
87.3%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))
Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes9.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
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) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 beta alpha)))
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

6 calls:

1.0ms
(*.f64 #s(literal 2 binary64) i)
1.0ms
i
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))
Results
AccuracySegmentsBranch
59.7%1(*.f64 #s(literal 2 binary64) i)
59.7%1i
74.8%2beta
77.4%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)))
77.4%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))
77.4%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 86 to 52 computations (39.5% saved)

regimes5.0ms (0%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
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
(/.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
beta
1.0ms
alpha
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
59.7%1alpha
59.7%1beta
59.7%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)))
59.7%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))
59.7%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))
Compiler

Compiled 83 to 47 computations (43.4% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.861300168495063e-12
1.3007029786571422e-8
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.001169861567991426
0.49971503762126235
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.001169861567991426
0.49971503762126235
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5
0.5000000004000296
0.0ms
0.001169861567991426
0.49971503762126235
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5105414575581232
0.5175747367742806
0.0ms
0.001169861567991426
0.49971503762126235
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5175747367742806
0.998663029252851
0.0ms
0.001169861567991426
0.49971503762126235
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.5175747367742806
0.998663029252851
0.0ms
0.0
5.551115123125783e-17
Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5175747367742806
0.998663029252851
Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify61.0ms (0.4%)

Memory
-11.6MiB live, 79.4MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141253
12231239
26221239
327941239
475651239
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.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)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #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 (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 4638707616191611/9007199254740992 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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 5404319552844595/9007199254740992 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 (*.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)) #s(literal 0 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 5404319552844595/9007199254740992 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 (*.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)) #s(literal 5404319552844595/9007199254740992 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
(if (<=.f64 (/.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)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (fma.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (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) (*.f64 (fma.f64 (/.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (+.f64 (/.f64 #s(approx (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (-.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #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 (+ (* (/ (- beta alpha) (* (+ (+ (* i 2) (+ beta alpha)) 2) (+ (* i 2) (+ beta alpha)))) (/ (+ beta alpha) 2)) 1/2) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (+.f64 (/.f64 (/.f64 (*.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 4638707616191611/9007199254740992 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) (*.f64 #s(approx (+ (* (/ beta (+ (+ (* 2 i) beta) 2)) (/ beta (+ (* 2 i) beta))) 1) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.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)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 5404319552844595/9007199254740992 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 (*.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)) #s(literal 0 binary64)) #s(approx (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2)) 1) 2) #s(approx (* (/ (+ (* 0 beta) (+ (* 1 (+ (* 4 i) (* 2 beta))) 2)) alpha) 1/2) (/.f64 #s(approx (+ (* 1/2 (+ (* 4 i) 2)) beta) (+.f64 #s(literal 1 binary64) beta)) alpha))) (if (<=.f64 (/.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)) #s(literal 5404319552844595/9007199254740992 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 (*.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)) #s(literal 5404319552844595/9007199254740992 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))

derivations1.3s (8.4%)

Memory
53.8MiB live, 1 059.6MiB allocated; 244ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075551
0113523
1640435
25691435
08405421
0265267151
0818564657
0159619476
1576719163
0864717346
05906352023
08966338304
070993
0110926
1582782
25029782
08118775
093312602
1335712202
0883410996
015103
025103
1119103
21045103
0812393
047428
078402
1393396
23373396
08942390
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 281 to 119 computations (90.7% saved)

preprocess49.0ms (0.3%)

Memory
-2.3MiB live, 89.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 620 to 268 computations (89.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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