Octave 3.8, jcobi/1

Time bar (total: 10.9s)

analyze2.0ms (0%)

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

Compiled 21 to 15 computations (28.6% saved)

sample1.2s (10.9%)

Memory
23.2MiB live, 1 767.7MiB allocated
Samples
483.0ms6 114×0valid
216.0ms1 406×1valid
146.0ms736×2valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-add: 198.0ms (33.7% of total)
ival-div: 165.0ms (28.1% of total)
adjust: 77.0ms (13.1% of total)
ival-sub: 64.0ms (10.9% of total)
ival->: 57.0ms (9.7% of total)
exact: 13.0ms (2.2% of total)
ival-and: 11.0ms (1.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess646.0ms (5.9%)

Memory
-126.9MiB live, 284.1MiB allocated
Algorithm
1×egg-herbie
Rules
2 176×lower-fma.f64
2 176×lower-fma.f32
1 384×distribute-rgt-in
1 218×distribute-lft-in
1 056×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671
17367
216767
344065
4115365
5276165
6538365
7622465
8649165
9660765
10663365
11663365
12668165
13678065
14678065
15678065
16688465
17790465
01013
01613
12813
24513
37313
413313
529213
657213
794413
8160713
9284113
10306313
11315013
12320413
13320613
14320613
15320613
0320612
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64))))

explain118.0ms (1.1%)

Memory
30.5MiB live, 348.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-1(3.957388391073306e+31 2.894960651451187e+29)(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-alpha
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-(-.f64 beta alpha)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation651
Confusion
Predicted +Predicted -
+651
-0190
Precision
1.0
Recall
0.9848484848484849
Confusion?
Predicted +Predicted MaybePredicted -
+6510
-00190
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0191
165
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms384×0valid
10.0ms78×1valid
10.0ms50×2valid
Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 9.0ms (33.4% of total)
ival-add: 9.0ms (33.4% of total)
adjust: 4.0ms (14.8% of total)
ival-sub: 3.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.3%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify176.0ms (1.6%)

Memory
-19.8MiB live, 139.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff512
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
2 176×lower-fma.f64
2 176×lower-fma.f32
880×lower-*.f64
880×lower-*.f32
474×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
01648
12848
24548
37348
413348
529248
657248
794448
8160748
9284148
10306348
11315048
12320448
13320648
14320648
15320648
0320647
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(-.f64 beta alpha)
beta
alpha
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha beta)
(+.f64 beta alpha)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize53.0ms (0.5%)

Memory
-2.9MiB live, 74.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha beta)
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓accuracy76.3%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
12.0ms192×0valid
7.0ms25×2valid
5.0ms39×1valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (37.7% of total)
ival-div: 4.0ms (30.2% of total)
adjust: 2.0ms (15.1% of total)
ival-sub: 2.0ms (15.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory
-6.6MiB live, 31.5MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))>
#<alt (-.f64 beta alpha)>
#<alt (+.f64 alpha beta)>
#<alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
Calls

36 calls:

TimeVariablePointExpression
38.0ms
alpha
@-inf
(+ (+ alpha beta) 2)
1.0ms
alpha
@-inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite318.0ms (2.9%)

Memory
13.6MiB live, 571.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 066×lower-fma.f64
5 066×lower-fma.f32
4 410×lower-*.f64
4 410×lower-*.f32
4 264×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
19144
274844
0905743
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 458
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
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(*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64))))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))

simplify413.0ms (3.8%)

Memory
-4.6MiB live, 551.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 688×lower-fma.f64
9 688×lower-fma.f32
3 924×lower-+.f64
3 924×lower-+.f32
3 726×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332500
113942354
245632155
086422014
Stop Event
1×iter limit
1×node limit
Counts
144 → 131
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
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(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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2
#s(literal 2 binary64)
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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1
#s(literal 1 binary64)
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(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/ beta (+ 2 beta))
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-1
#s(literal -1 binary64)
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(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal 1 binary64))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta)) alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* beta (+ 1 (* -1 (/ alpha beta))))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
(* -1 (* beta (- (/ alpha beta) 1)))
(-.f64 beta (/.f64 (*.f64 alpha beta) beta))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha)
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)

eval109.0ms (1%)

Memory
11.4MiB live, 126.2MiB allocated
Compiler

Compiled 18 185 to 2 314 computations (87.3% saved)

prune88.0ms (0.8%)

Memory
9.2MiB live, 216.8MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New57613589
Fresh000
Picked101
Done000
Total57713590
Accuracy
100.0%
Counts
590 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.3%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
31.1%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
74.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
47.0%
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶54.9%
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.9%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
44.6%
(/.f64 (fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
26.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
▶76.6%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
27.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
27.5%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
▶50.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
▶38.3%
#s(literal 1 binary64)
Compiler

Compiled 496 to 280 computations (43.5% saved)

simplify312.0ms (2.9%)

Memory
15.6MiB live, 611.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
✓cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff512
(+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 #s(literal -2 binary64) alpha)
✓cost-diff0
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff512
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
✓cost-diff1088
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
Rules
11 444×lower-fma.f32
11 436×lower-fma.f64
4 170×lower-*.f32
4 164×lower-*.f64
3 038×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032276
058244
1113244
2274235
3932235
44772235
57414235
08380230
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
alpha
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(-.f64 beta alpha)
beta
alpha
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
(+.f64 beta alpha)
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
#s(literal 8 binary64)
(+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 beta alpha) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) #s(literal 4 binary64))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 (*.f64 alpha #s(literal 1/2 binary64)) (-.f64 #s(literal -2 binary64) alpha))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
alpha
(-.f64 #s(literal -2 binary64) alpha)
#s(literal -2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(-.f64 beta alpha)
beta
alpha
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
(+.f64 beta alpha)
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
#s(literal 8 binary64)
(+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(fma.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal -2 binary64))) #s(literal 4 binary64))
(fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 beta alpha) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (+.f64 beta alpha))
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)

localize189.0ms (1.7%)

Memory
4.8MiB live, 314.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
✓accuracy99.9%
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
✓accuracy91.2%
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
✓accuracy58.2%
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy76.3%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 #s(literal -2 binary64) alpha)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
✓accuracy100.0%
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
✓accuracy71.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
✓accuracy100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy76.3%
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
Samples
57.0ms32×2valid
39.0ms180×0valid
21.0ms44×1valid
Compiler

Compiled 289 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-div: 49.0ms (52.6% of total)
ival-add: 16.0ms (17.2% of total)
ival-mult: 11.0ms (11.8% of total)
adjust: 9.0ms (9.7% of total)
ival-sub: 7.0ms (7.5% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series92.0ms (0.8%)

Memory
-17.6MiB live, 138.7MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))>
#<alt (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))>
#<alt (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))>
#<alt (-.f64 #s(literal -2 binary64) alpha)>
#<alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (-.f64 beta alpha)>
#<alt (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))>
#<alt (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))>
#<alt (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))>
#<alt (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (+.f64 alpha #s(literal 2 binary64))>
#<alt (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))>
#<alt (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))>
Outputs
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1/4 alpha)>
#<alt (* alpha (- (* 1/8 alpha) 1/4))>
#<alt (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))>
#<alt (* alpha (- (* alpha (+ 1/8 (* alpha (- (* 1/32 alpha) 1/16)))) 1/4))>
#<alt -1/2>
#<alt (- (/ 1 alpha) 1/2)>
#<alt (- (/ 1 alpha) (+ 1/2 (/ 2 (pow alpha 2))))>
#<alt (- (+ (/ 1 alpha) (* 4 (/ 1 (pow alpha 3)))) (+ 1/2 (/ 2 (pow alpha 2))))>
#<alt -1/2>
#<alt (- (/ 1 alpha) 1/2)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) 1/2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) 1/2)>
#<alt (* -1/2 alpha)>
#<alt (* alpha (- (* 1/4 alpha) 1/2))>
#<alt (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))>
#<alt (* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)>
#<alt -2>
#<alt (- (* -1 alpha) 2)>
#<alt (- (* -1 alpha) 2)>
#<alt (- (* -1 alpha) 2)>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
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#<alt (- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)>
#<alt (/ alpha (+ 2 beta))>
#<alt (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ alpha (+ 2 alpha))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (+ 8 (pow alpha 3))>
#<alt (+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)))>
#<alt (+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)))>
#<alt (+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))))>
#<alt (pow beta 3)>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))>
#<alt (+ 8 (pow beta 3))>
#<alt (+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))>
#<alt (+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))>
#<alt (+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))>
#<alt (pow alpha 3)>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))>
#<alt (pow alpha 2)>
#<alt (+ (* 2 (* alpha beta)) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))>
#<alt (pow beta 2)>
#<alt (+ (* 2 (* alpha beta)) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))>
Calls

105 calls:

TimeVariablePointExpression
30.0ms
beta
@0
(/ beta (+ beta (+ alpha 2)))
5.0ms
beta
@inf
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))) 1) 2)
3.0ms
beta
@inf
(+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))) 1)
3.0ms
beta
@0
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))) 1) 2)
2.0ms
alpha
@0
(/ (+ (* (/ (- beta alpha) (+ (* (+ beta alpha) (* (+ beta alpha) (+ beta alpha))) 8)) (+ (+ (* (+ beta alpha) (+ beta alpha)) 4) (* (+ beta alpha) -2))) 1) 2)

rewrite364.0ms (3.4%)

Memory
27.1MiB live, 624.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 002×lower-/.f32
4 988×lower-/.f64
2 984×lower-*.f32
2 978×lower-*.f64
2 476×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032230
058194
1300192
22908192
08297188
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 833
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(-.f64 #s(literal -2 binary64) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(-.f64 beta alpha)
(+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 alpha #s(literal 2 binary64))
(fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
Outputs
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(-.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64))))
(/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64)) (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))))
(/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64))) (neg.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64))) (neg.f64 (+.f64 #s(literal 64 binary64) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64))) (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (neg.f64 (-.f64 #s(literal 8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))))
(*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -8 binary64))))
(+.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 beta alpha))))
(-.f64 (/.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))) (/.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))))
(fma.f64 beta (+.f64 beta alpha) (*.f64 alpha (+.f64 beta alpha)))
(fma.f64 alpha (+.f64 beta alpha) (*.f64 beta (+.f64 beta alpha)))
(fma.f64 (+.f64 beta alpha) beta (*.f64 alpha (+.f64 beta alpha)))
(fma.f64 (+.f64 beta alpha) alpha (*.f64 beta (+.f64 beta alpha)))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (-.f64 beta alpha)))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 beta (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))) (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (-.f64 beta alpha))
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 beta alpha)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (*.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (-.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (*.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 beta (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (fma.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha)) (-.f64 (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))) (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta (+.f64 beta alpha))) (*.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha))))) (neg.f64 (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (-.f64 beta alpha)))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 beta alpha))) (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) #s(literal 2 binary64))
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha))
(*.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 beta (*.f64 beta beta) (*.f64 alpha (*.f64 alpha alpha)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) #s(literal 2 binary64)) (pow.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))
(*.f64 (exp.f64 (log.f64 (+.f64 beta alpha))) (exp.f64 (log.f64 (+.f64 beta alpha))))

simplify546.0ms (5%)

Memory
3.0MiB live, 797.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 132×lower-fma.f64
6 132×lower-fma.f32
5 288×lower-+.f64
5 288×lower-+.f32
4 614×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174013507
1575612940
0809312303
Stop Event
1×iter limit
1×node limit
Counts
420 → 411
Calls
Call 1
Inputs
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* -1/4 alpha)
(* alpha (- (* 1/8 alpha) 1/4))
(* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))
(* alpha (- (* alpha (+ 1/8 (* alpha (- (* 1/32 alpha) 1/16)))) 1/4))
-1/2
(- (/ 1 alpha) 1/2)
(- (/ 1 alpha) (+ 1/2 (/ 2 (pow alpha 2))))
(- (+ (/ 1 alpha) (* 4 (/ 1 (pow alpha 3)))) (+ 1/2 (/ 2 (pow alpha 2))))
-1/2
(- (/ 1 alpha) 1/2)
(- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) 1/2)
(* -1/2 alpha)
(* alpha (- (* 1/4 alpha) 1/2))
(* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2))
(* alpha (- (* alpha (+ 1/4 (* alpha (- (* 1/16 alpha) 1/8)))) 1/2))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
-2
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(- (* -1 alpha) 2)
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(+ 4 (+ (* -2 alpha) (pow alpha 2)))
(+ 4 (+ (* -2 alpha) (+ (* beta (- (* 2 alpha) 2)) (pow alpha 2))))
(+ 4 (+ (* -2 alpha) (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))))
(+ 4 (+ (* -2 alpha) (+ (* beta (- (+ beta (* 2 alpha)) 2)) (pow alpha 2))))
(pow beta 2)
(* (pow beta 2) (- (+ 1 (* 2 (/ alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ 1 (+ (* -2 (/ alpha (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (/ 4 (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ 1 (+ (* -2 (/ alpha (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (/ 4 (pow beta 2)) (/ (pow alpha 2) (pow beta 2)))))) (* 2 (/ 1 beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (* -2 alpha)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 alpha) (* -1 (/ (+ 4 (+ (* -2 alpha) (pow alpha 2))) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 alpha) (* -1 (/ (+ 4 (+ (* -2 alpha) (pow alpha 2))) beta)))) beta))))
(+ 4 (+ (* -2 beta) (pow beta 2)))
(+ 4 (+ (* -2 beta) (+ (* alpha (- (* 2 beta) 2)) (pow beta 2))))
(+ 4 (+ (* -2 beta) (+ (* alpha (- (+ alpha (* 2 beta)) 2)) (pow beta 2))))
(+ 4 (+ (* -2 beta) (+ (* alpha (- (+ alpha (* 2 beta)) 2)) (pow beta 2))))
(pow alpha 2)
(* (pow alpha 2) (- (+ 1 (* 2 (/ beta alpha))) (* 2 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1 (+ (* -2 (/ beta (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (/ 4 (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))) (* 2 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1 (+ (* -2 (/ beta (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (/ 4 (pow alpha 2)) (/ (pow beta 2) (pow alpha 2)))))) (* 2 (/ 1 alpha))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (* -2 beta)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ 2 (+ (* -2 beta) (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)))) alpha))))
(* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3))))))
(+ (* 1/2 (* beta (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2)))))) (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))))))
(+ (* 1/2 (+ 1 (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (+ 8 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (+ 8 (pow alpha 3))) (+ (* -1 (/ (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (/ (* (+ alpha (* 2 alpha)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ 8 (pow alpha 3)))))))) (* 1/2 (- (+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* 2 (/ alpha (+ 8 (pow alpha 3))))) (+ (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ alpha (* 2 alpha)))) (pow (+ 8 (pow alpha 3)) 2))) (+ (* 2 (/ 1 (+ 8 (pow alpha 3)))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (+ (* -2 (/ alpha (+ 8 (pow alpha 3)))) (+ (* -1 (/ (* alpha (- (* 2 alpha) 2)) (+ 8 (pow alpha 3)))) (+ (* 4 (/ 1 (+ 8 (pow alpha 3)))) (/ (pow alpha 2) (+ 8 (pow alpha 3)))))) (* -1 (/ (* alpha (* (+ 4 (+ (* -2 alpha) (pow alpha 2))) (+ (* 2 (pow alpha 2)) (pow alpha 2)))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2)))))
(+ 1 (+ (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* (+ alpha (* 2 alpha)) (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha)))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha))) (pow alpha 3))))) (pow beta 3))) (* 1/2 (/ (- (+ 4 (+ (* -2 alpha) (* -1 (* alpha (- (* 2 alpha) 2))))) (+ (* 2 (pow alpha 2)) (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ 2 alpha))))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha)))) (* 1/2 (/ (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))))) (* 1/2 (/ (- (* -1 (* alpha (+ 4 (+ (* -2 alpha) (pow alpha 2))))) (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 4 (+ (* -2 alpha) (+ (* alpha (+ 2 (* -2 alpha))) (pow alpha 2))))) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))))) (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) (pow alpha 3))))) beta))) beta)) (* -1/2 (- (* -1 (+ 2 (+ alpha (* -2 alpha)))) (+ alpha (* 2 alpha))))) beta)))
(* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
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(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (* -1 (/ (- (+ (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ (* -1 (/ (* (+ 8 (pow beta 3)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta)))) alpha)) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 (* beta (+ 4 (+ (* -2 beta) (pow beta 2))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3)))))) alpha)) (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2)))))) alpha))))) (+ 8 (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))))) (+ (* -1 (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (pow beta 3))))) alpha))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
(* -1 (/ alpha (+ 8 (pow alpha 3))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(+ (* -1 (/ alpha (+ 8 (pow alpha 3)))) (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ alpha (pow (+ 8 (pow alpha 3)) 2))) (+ (* -1 (/ (* (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ 8 (pow alpha 3)))) (/ (* (+ alpha (* 2 alpha)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3))))))) (+ (* -1 (/ (* alpha (+ alpha (* 2 alpha))) (pow (+ 8 (pow alpha 3)) 2))) (/ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (/ 1 (+ 8 (pow alpha 3))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))) (+ 8 (pow alpha 3)))))) (/ 1 (+ 8 (pow alpha 3)))) (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow (+ 8 (pow alpha 3)) 2))))))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (+ 8 (+ (* -1 (* (+ alpha (* 2 alpha)) (+ (* 2 (pow alpha 2)) (+ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 2))))) (+ (* (+ (* 2 (pow alpha 2)) (pow alpha 2)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow alpha 3)))) (pow beta 3))))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (+ (/ (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha)))) (pow beta 2)) (/ (pow alpha 2) (pow beta 2))))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (/ alpha beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2)))) beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ alpha (* 2 alpha)))) (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* -1 (/ (+ 8 (+ (* -1 (* (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (+ (* (+ alpha (* 2 alpha)) (+ (* -2 (pow alpha 2)) (+ (* -1 (* (+ alpha (* 2 alpha)) (- (* -1 alpha) (+ alpha (* 2 alpha))))) (* -1 (pow alpha 2))))) (pow alpha 3)))) beta)) (* -1 (pow alpha 2))))) beta))) beta))) (pow beta 2))
(/ beta (+ 8 (pow beta 3)))
(+ (* -1 (* alpha (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ beta (* 2 beta)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))) (+ (* 2 (pow beta 2)) (pow beta 2))) (+ 8 (pow beta 3)))) (/ beta (pow (+ 8 (pow beta 3)) 2)))))) (+ (* -1 (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2)))) (+ 8 (pow beta 3)))) (/ (* beta (+ beta (* 2 beta))) (pow (+ 8 (pow beta 3)) 2))))) (+ (/ 1 (+ 8 (pow beta 3))) (/ (* beta (+ (* 2 (pow beta 2)) (pow beta 2))) (pow (+ 8 (pow beta 3)) 2))))) (/ beta (+ 8 (pow beta 3))))
(/ -1 (pow alpha 2))
(/ (- (/ beta alpha) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ beta (* 2 beta)) alpha)))) (pow alpha 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ beta (* 2 beta)) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta)))))))) (+ (* -1 (+ 8 (pow beta 3))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- beta (* -1 (+ beta (* 2 beta))))))) (pow alpha 3))) (/ beta alpha)) (+ 1 (+ (* -1 (/ (+ beta (* 2 beta)) alpha)) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) (pow alpha 2))) (/ (* (+ beta (* 2 beta)) (- beta (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))) (pow alpha 2))
(/ -1 (pow alpha 2))
(/ (- (* -1 (/ (- (* -1 beta) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -2 (/ (pow beta 2) alpha)) (+ (* -1 beta) (+ (* -1 (/ (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (* -1 (/ (pow beta 2) alpha))))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
(/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) (- (* -1 beta) (+ beta (* 2 beta)))) alpha)) (+ (* 8 (/ 1 alpha)) (+ (/ (* (+ beta (* 2 beta)) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha) (/ (pow beta 3) alpha)))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 beta) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha)) 1) (pow alpha 2))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ 8 (pow alpha 3))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(+ 8 (pow beta 3))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(pow alpha 2)
(+ (* 2 (* alpha beta)) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(pow beta 2)
(+ (* 2 (* alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
Outputs
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 beta (fma.f64 beta (-.f64 (neg.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(-.f64 (fma.f64 beta (fma.f64 beta (-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (*.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))))) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta)) alpha) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta)) beta)) alpha) beta))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* 1/2 (+ 1 (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ 8 (pow beta 3)))))
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(* 1/2 (/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha))
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha))) alpha)
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(/ (+ (* 1/2 (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* 1/2 (/ (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2))) (* 1/2 (/ (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))) alpha)))) alpha)
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(/ (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (/ (* beta (- (* 2 beta) 2)) alpha)))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha)))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
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(/ (- (+ beta (+ (* -1 (- (* 2 beta) 2)) (+ (* -1 (/ (+ 4 (+ (* -2 beta) (pow beta 2))) alpha)) (+ (* -1 (/ (+ (* (+ 8 (pow beta 3)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (+ (* (+ beta (* 2 beta)) (- (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (+ (* -1 (+ 8 (pow beta 3))) (+ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))))))) (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))))) (pow alpha 3))) (+ (/ (* beta (+ 4 (+ (* -2 beta) (pow beta 2)))) (pow alpha 2)) (/ (* beta (- (* 2 beta) 2)) alpha)))))) (+ (* -1 (+ beta (* 2 beta))) (+ (* -1 (/ (+ 8 (pow beta 3)) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (pow beta 2)) alpha)) (+ (/ (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) alpha) (+ (/ (* (+ beta (* 2 beta)) (- (+ (* -1 (+ 4 (+ (* -2 beta) (pow beta 2)))) (* beta (- (* 2 beta) 2))) (+ (* -1 (+ (* 2 (pow beta 2)) (pow beta 2))) (* (+ beta (* 2 beta)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta)))))))) (pow alpha 2)) (/ (* (+ (* 2 (pow beta 2)) (pow beta 2)) (- (+ beta (* -1 (- (* 2 beta) 2))) (* -1 (+ beta (* 2 beta))))) (pow alpha 2)))))))) alpha)
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(* -1 (/ (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(* -1 (/ (- (+ (* -1 (+ 2 (+ beta (* -2 beta)))) (* -1 (/ (- (* -1 (+ 4 (+ (* -2 beta) (+ (* beta (+ 2 (* -2 beta))) (pow beta 2))))) (+ (* -2 (pow beta 2)) (+ (* -1 (* (+ beta (* 2 beta)) (- (* -1 (+ 2 (+ beta (* -2 beta)))) (+ beta (* 2 beta))))) (* -1 (pow beta 2))))) alpha))) (+ beta (* 2 beta))) alpha))
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(/.f64 alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 alpha)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta)) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha (*.f64 alpha (/.f64 #s(literal 2 binary64) alpha)))
(+ 8 (pow alpha 3))
(fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))) (pow alpha 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (* 2 alpha))) (pow alpha 2)))) (pow alpha 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 beta (fma.f64 #s(literal 2 binary64) (*.f64 alpha alpha) (fma.f64 alpha alpha (*.f64 beta (*.f64 #s(literal 3 binary64) alpha)))) (*.f64 alpha (*.f64 alpha alpha))))
(+ 8 (+ (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ alpha (+ beta (* 2 alpha)))) (pow alpha 2)))) (pow alpha 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (fma.f64 #s(literal 2 binary64) (*.f64 alpha alpha) (fma.f64 beta (+.f64 alpha (fma.f64 alpha #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (/ alpha beta))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 #s(literal 3 binary64) (/.f64 alpha beta) #s(literal 1 binary64)))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (/ alpha beta) (/ (pow alpha 2) (pow beta 2)))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (+ (* 8 (/ 1 (pow beta 3))) (+ (/ alpha beta) (+ (/ (pow alpha 2) (pow beta 2)) (/ (pow alpha 3) (pow beta 3)))))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (* 2 alpha)) beta)) 1)))
(*.f64 (neg.f64 (*.f64 beta (*.f64 beta beta))) (+.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) alpha)) beta) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (* -1 (pow alpha 2))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (neg.f64 (*.f64 beta (*.f64 beta beta))) (+.f64 (neg.f64 (/.f64 (+.f64 alpha (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal -3 binary64)) beta))) beta)) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -2 (pow alpha 2)) (+ (* -1 (/ (+ 8 (pow alpha 3)) beta)) (* -1 (pow alpha 2)))) beta)) (* 2 alpha))) beta)) 1)))
(*.f64 (neg.f64 (*.f64 beta (*.f64 beta beta))) (+.f64 (neg.f64 (/.f64 (+.f64 alpha (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 alpha alpha) #s(literal -2 binary64) (-.f64 (neg.f64 (*.f64 alpha alpha)) (/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) beta))) beta))) beta)) #s(literal -1 binary64)))
(+ 8 (pow beta 3))
(fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (pow beta 2))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (*.f64 beta (*.f64 beta beta))))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ beta (* 2 beta))) (pow beta 2)))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (*.f64 beta beta) (fma.f64 alpha (*.f64 #s(literal 3 binary64) beta) (*.f64 beta beta))) (*.f64 beta (*.f64 beta beta))))
(+ 8 (+ (* alpha (+ (* 2 (pow beta 2)) (+ (* alpha (+ alpha (+ beta (* 2 beta)))) (pow beta 2)))) (pow beta 3)))
(+.f64 #s(literal 8 binary64) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (*.f64 beta beta) (fma.f64 alpha (fma.f64 #s(literal 3 binary64) beta alpha) (*.f64 beta beta))) (*.f64 beta (*.f64 beta beta))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (/ beta alpha))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 #s(literal 3 binary64) (/.f64 beta alpha) #s(literal 1 binary64)))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (/ beta alpha) (/ (pow beta 2) (pow alpha 2)))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 beta alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ (pow beta 2) (pow alpha 2))) (+ (* 8 (/ 1 (pow alpha 3))) (+ (/ beta alpha) (+ (/ (pow beta 2) (pow alpha 2)) (/ (pow beta 3) (pow alpha 3)))))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (* 2 beta)) alpha)) 1)))
(*.f64 (neg.f64 (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (* -1 (pow beta 2))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (neg.f64 (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 beta (/.f64 (*.f64 (*.f64 beta beta) #s(literal -3 binary64)) alpha)) (*.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -1 binary64)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -2 (pow beta 2)) (+ (* -1 (/ (+ 8 (pow beta 3)) alpha)) (* -1 (pow beta 2)))) alpha)) (* 2 beta))) alpha)) 1)))
(*.f64 (neg.f64 (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (+.f64 beta (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 beta beta) #s(literal -2 binary64)) (/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) alpha)) (*.f64 beta beta)) alpha)))) alpha) #s(literal -1 binary64)))
(pow alpha 2)
(*.f64 alpha alpha)
(+ (* 2 (* alpha beta)) (pow alpha 2))
(fma.f64 alpha alpha (*.f64 #s(literal 2 binary64) (*.f64 alpha beta)))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(fma.f64 beta (fma.f64 alpha #s(literal 2 binary64) beta) (*.f64 alpha alpha))
(+ (* beta (+ beta (* 2 alpha))) (pow alpha 2))
(fma.f64 beta (fma.f64 alpha #s(literal 2 binary64) beta) (*.f64 alpha alpha))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) #s(literal 1 binary64)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 alpha) (* -1 (/ (pow alpha 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta)))
(pow beta 2)
(*.f64 beta beta)
(+ (* 2 (* alpha beta)) (pow beta 2))
(*.f64 beta (fma.f64 alpha #s(literal 2 binary64) beta))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) beta alpha) (*.f64 beta beta))
(+ (* alpha (+ alpha (* 2 beta))) (pow beta 2))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) beta alpha) (*.f64 beta beta))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ beta alpha))))
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) #s(literal 1 binary64)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (*.f64 beta beta) alpha)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (*.f64 beta beta) alpha)) alpha)))

eval275.0ms (2.5%)

Memory
16.6MiB live, 510.2MiB allocated
Compiler

Compiled 61 614 to 5 256 computations (91.5% saved)

prune243.0ms (2.2%)

Memory
-10.4MiB live, 452.0MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1 467151 482
Fresh538
Picked415
Done000
Total1 476191 495
Accuracy
100.0%
Counts
1 495 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
▶74.5%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶76.6%
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
74.8%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
75.9%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶49.7%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
49.1%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
54.9%
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
44.6%
(/.f64 (fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
54.0%
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
26.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
23.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
27.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
27.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
25.1%
(/.f64 #s(literal 1 binary64) alpha)
3.7%
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
▶27.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
✓38.3%
#s(literal 1 binary64)
▶50.3%
#s(literal 1/2 binary64)
Compiler

Compiled 533 to 327 computations (38.6% saved)

simplify352.0ms (3.2%)

Memory
-2.1MiB live, 637.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)
✓cost-diff128
(neg.f64 (-.f64 #s(literal 2 binary64) beta))
✓cost-diff320
(+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))
✓cost-diff512
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
✓cost-diff0
(+.f64 beta #s(literal 2 binary64))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
✓cost-diff128
(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
✓cost-diff1280
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
Rules
16 752×lower-fma.f32
16 744×lower-fma.f64
3 222×lower-*.f32
3 216×lower-*.f64
1 870×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029168
053166
1103161
2206161
3442155
4982145
52084145
64613145
77886145
08115140
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
alpha
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
#s(literal 1/8 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
#s(literal -1/2 binary64)
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)
(+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))
(neg.f64 (-.f64 #s(literal 2 binary64) beta))
(-.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(*.f64 #s(literal -3 binary64) beta)
#s(literal -3 binary64)
alpha
Outputs
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
alpha
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
#s(literal 1/8 binary64)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
#s(literal -1/2 binary64)
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(neg.f64 (-.f64 #s(literal 2 binary64) beta))
(+.f64 beta #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(*.f64 #s(literal -3 binary64) beta)
(*.f64 beta #s(literal -3 binary64))
#s(literal -3 binary64)
alpha

localize159.0ms (1.5%)

Memory
3.1MiB live, 191.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -3 binary64) beta)
✓accuracy100.0%
(neg.f64 (-.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)
✓accuracy99.6%
(+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))
✓accuracy100.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(+.f64 beta #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
✓accuracy100.0%
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy76.3%
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
Samples
64.0ms193×0valid
60.0ms63×1valid
Compiler

Compiled 175 to 35 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-add: 39.0ms (51.6% of total)
ival-mult: 19.0ms (25.1% of total)
ival-div: 8.0ms (10.6% of total)
adjust: 4.0ms (5.3% of total)
ival-neg: 3.0ms (4% of total)
ival-sub: 3.0ms (4% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
0.0MiB live, 88.7MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))>
#<alt (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))>
#<alt (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))>
#<alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))>
#<alt (-.f64 beta alpha)>
#<alt (+.f64 beta #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))>
#<alt (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))>
#<alt (neg.f64 (-.f64 #s(literal 2 binary64) beta))>
#<alt (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)>
#<alt (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))>
#<alt (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -3 binary64) beta)>
Outputs
#<alt (* -1/2 (- (/ alpha (+ 2 alpha)) 1))>
#<alt (- (* beta (- (* 1/2 (/ 1 (+ 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt (- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3)))))) (* 1/2 (/ 1 (+ 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt (- (* beta (- (+ (* 1/2 (/ 1 (+ 2 alpha))) (* beta (- (* beta (- (* 1/2 (/ 1 (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt 1>
#<alt (- (+ 1 (* -1/2 (/ (+ 2 alpha) beta))) (* 1/2 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))>
#<alt (- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))>
#<alt 1>
#<alt (+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 2) beta))) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/2 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))>
#<alt (/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)>
#<alt (/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)>
#<alt (/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)>
#<alt (* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (+ 2 beta))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 2))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 3))) (* 1/2 (pow (+ 2 beta) 4))) alpha)) (* -1/2 (* beta (pow (+ 2 beta) 2)))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))>
#<alt (+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* 1/2 (/ (+ 2 beta) alpha))>
#<alt (/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha)>
#<alt (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)>
#<alt (/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (* 1/2 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1/2 (- (/ alpha (+ 2 alpha)) 1))>
#<alt (- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt (- (* beta (- (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt (- (* beta (- (* beta (- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ alpha beta)))>
#<alt (- (+ 1/2 (* 1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (* 1/2 (/ alpha beta)))>
#<alt (- (+ 1/2 (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 (/ alpha beta)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 alpha)) beta)))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* -1/2 alpha)) beta)))>
#<alt -1/2>
#<alt (- (* 1/2 (/ alpha (+ 2 beta))) 1/2)>
#<alt (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)>
#<alt (- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)>
#<alt (* -1/2 (/ (+ 2 beta) alpha))>
#<alt (/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)>
#<alt (/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)>
#<alt (* -1/2 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))>
#<alt (* 1/2 (- (/ alpha (+ 2 alpha)) 1))>
#<alt (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))>
#<alt (+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))))))>
#<alt (+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))))>
#<alt -1/2>
#<alt (- (* 1/2 (/ alpha beta)) 1/2)>
#<alt (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2)>
#<alt (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ alpha beta)) 1/2)>
#<alt (- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2)>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2)>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (* 1/8 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))>
#<alt (* 1/8 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))>
#<alt -1/4>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (* 1/8 alpha)>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* 1/8 alpha)>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1/2 alpha)>
#<alt (+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt -2>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt -2>
#<alt (- beta 2)>
#<alt (- beta 2)>
#<alt (- beta 2)>
#<alt beta>
#<alt (* beta (- 1 (* 2 (/ 1 beta))))>
#<alt (* beta (- 1 (* 2 (/ 1 beta))))>
#<alt (* beta (- 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* 2 (/ 1 beta)) 1)))>
#<alt (* -1 (* beta (- (* 2 (/ 1 beta)) 1)))>
#<alt (* -1 (* beta (- (* 2 (/ 1 beta)) 1)))>
#<alt (/ -2 alpha)>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt -1>
#<alt (- (/ alpha (+ 2 beta)) 1)>
#<alt (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)>
#<alt (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)>
#<alt (/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (- (/ alpha (+ 2 alpha)) 1)>
#<alt (- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)>
#<alt (- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)>
#<alt (/ alpha (+ 2 beta))>
#<alt (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ alpha (+ 2 alpha))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
Calls

84 calls:

TimeVariablePointExpression
15.0ms
beta
@-inf
(* -1/2 (/ (+ (neg (- 2 beta)) (* -3 beta)) alpha))
5.0ms
alpha
@0
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)
1.0ms
alpha
@0
(* -1/2 (/ (+ (neg (- 2 beta)) (* -3 beta)) alpha))
1.0ms
alpha
@inf
(+ (* (/ beta (+ beta (+ alpha 2))) 1/2) (neg (* (+ (/ alpha (+ beta (+ alpha 2))) -1) 1/2)))
1.0ms
alpha
@inf
(* -1/2 (/ (+ (neg (- 2 beta)) (* -3 beta)) alpha))

rewrite363.0ms (3.3%)

Memory
20.9MiB live, 603.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 030×lower-/.f32
5 022×lower-/.f64
4 826×lower-*.f32
4 820×lower-*.f64
4 800×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029138
053136
1249131
22061131
09405127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 602
Calls
Call 1
Inputs
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 beta #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta))
(neg.f64 (-.f64 #s(literal 2 binary64) beta))
(/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) beta)
Outputs
(+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 1/2 binary64)) (*.f64 beta #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/2 binary64) (/.f64 (*.f64 beta #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha) (*.f64 alpha #s(literal -1 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))) (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal 1 binary64))))
(/.f64 (neg.f64 alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 alpha))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))))
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(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(*.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))))
(*.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))
(*.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))))
(*.f64 beta #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) beta)

simplify484.0ms (4.5%)

Memory
-30.5MiB live, 500.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 372×lower-fma.f64
8 372×lower-fma.f32
4 772×lower-*.f64
4 772×lower-*.f32
4 068×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07784669
125024418
275204392
081274143
Stop Event
1×iter limit
1×node limit
Counts
336 → 329
Calls
Call 1
Inputs
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(- (* beta (- (* 1/2 (/ 1 (+ 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3)))))) (* 1/2 (/ 1 (+ 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (+ (* 1/2 (/ 1 (+ 2 alpha))) (* beta (- (* beta (- (* 1/2 (/ 1 (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
1
(- (+ 1 (* -1/2 (/ (+ 2 alpha) beta))) (* 1/2 (/ alpha beta)))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))
1
(+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta))))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 2) beta))) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/2 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)
(* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (+ 2 beta))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 2))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 3))) (* 1/2 (pow (+ 2 beta) 4))) alpha)) (* -1/2 (* beta (pow (+ 2 beta) 2)))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
1/2
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
(* 1/2 (/ (+ 2 beta) alpha))
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(* 1/2 (/ (+ 2 beta) alpha))
(* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(- (* beta (- (* beta (- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
1/2
(+ 1/2 (* -1/2 (/ alpha beta)))
(- (+ 1/2 (* 1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (* 1/2 (/ alpha beta)))
(- (+ 1/2 (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))
1/2
(+ 1/2 (* -1/2 (/ alpha beta)))
(+ 1/2 (* -1 (/ (- (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 alpha)) beta)))
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (* alpha (+ 2 alpha)))) beta)) (* -1/2 alpha)) beta)))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(* -1/2 (/ (+ 2 beta) alpha))
(/ (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)
(* -1/2 (/ (+ 2 beta) alpha))
(* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(* 1/2 (- (/ alpha (+ 2 alpha)) 1))
(+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))))))
(+ (* 1/2 (- (/ alpha (+ 2 alpha)) 1)) (* beta (+ (* -1/2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))))
-1/2
(- (* 1/2 (/ alpha beta)) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))) 1/2)
(- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))) 1/2)
-1/2
(- (* 1/2 (/ alpha beta)) 1/2)
(- (* -1 (/ (+ (* -1/2 alpha) (* 1/2 (/ (* alpha (+ 2 alpha)) beta))) beta)) 1/2)
(- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* alpha (+ 2 alpha))) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta))) beta)) (* -1/2 alpha)) beta)) 1/2)
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
-1/4
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(* 1/8 alpha)
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* 1/8 alpha)
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1/2 alpha)
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(* -1 (/ alpha (+ 2 beta)))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
-2
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
-2
(- beta 2)
(- beta 2)
(- beta 2)
beta
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- 1 (* 2 (/ 1 beta))))
(* beta (- 1 (* 2 (/ 1 beta))))
beta
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(* -1 (* beta (- (* 2 (/ 1 beta)) 1)))
(/ -2 alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
Outputs
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(- (* beta (- (* 1/2 (/ 1 (+ 2 alpha))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (* beta (- (+ (* -1 (* beta (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3)))))) (* 1/2 (/ 1 (+ 2 alpha)))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (* beta (- (+ (* 1/2 (/ 1 (+ 2 alpha))) (* beta (- (* beta (- (* 1/2 (/ 1 (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 4))))) (+ (* 1/2 (/ 1 (pow (+ 2 alpha) 2))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1/2 (/ (+ 2 alpha) beta))) (* 1/2 (/ alpha beta)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (/.f64 alpha beta)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (* 1/2 (/ alpha beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 alpha))) beta))))
(- (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3))) (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1/2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* 1/2 (/ alpha beta)) (* 1/2 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 alpha)) beta) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1/2 (/ alpha beta)) (* -1/2 (/ (+ 2 alpha) beta))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (/.f64 alpha beta)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* alpha (+ 2 alpha)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 2) beta))) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1/2 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1/2 (* alpha (+ 2 alpha))) (* -1/2 (pow (+ 2 alpha) 2)))) beta)) (+ (* -1/2 alpha) (* -1/2 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 beta))) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 alpha (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 beta (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta)) (*.f64 beta (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 alpha alpha)) beta) (*.f64 beta (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 alpha alpha)) beta))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))))) alpha)
(* -1 (/ (- (* -1/2 beta) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (+ 2 beta))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 2))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* beta (pow (+ 2 beta) 3))) (* 1/2 (pow (+ 2 beta) 4))) alpha)) (* -1/2 (* beta (pow (+ 2 beta) 2)))) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* -1/2 (* beta (+ 2 beta)))) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* -1/2 beta)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(fma.f64 alpha (fma.f64 alpha (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))
(* 1/2 (/ (+ 2 beta) alpha))
(/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 2) alpha)) (* -1/2 (+ 2 beta))) alpha)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta)) alpha)
(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) alpha)
(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))) alpha)
(* 1/2 (/ (+ 2 beta) alpha))
(/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) alpha)) (neg.f64 alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 4) alpha)) (* 1/2 (pow (+ 2 beta) 3))) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha))
(/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha) (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha))) (neg.f64 alpha))
(* -1/2 (- (/ alpha (+ 2 alpha)) 1))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))))
(- (* beta (- (* -1/2 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) beta) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(- (* beta (- (* beta (- (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* 1/2 (/ alpha (pow (+ 2 alpha) 3))))) (* -1/2 (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ alpha (+ 2 alpha)) 1)))
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-1/2
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1
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1
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1/2
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(*.f64 (neg.f64 beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta))))
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
-1
#s(literal -1 binary64)
(- (/ alpha (+ 2 beta)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 alpha (fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha) (-.f64 #s(literal -2 binary64) beta)) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha)) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) alpha)) alpha)) (neg.f64 alpha))
(- (/ alpha (+ 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(fma.f64 alpha (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(fma.f64 beta (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 beta (fma.f64 (neg.f64 beta) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
-1
#s(literal -1 binary64)
(- (/ alpha beta) 1)
(+.f64 #s(literal -1 binary64) (/.f64 alpha beta))
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta))
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(fma.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta)))
-1
#s(literal -1 binary64)
(- (/ alpha beta) 1)
(+.f64 #s(literal -1 binary64) (/.f64 alpha beta))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 alpha)) beta)))
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) alpha)) (neg.f64 beta)))
(/ alpha (+ 2 beta))
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(fma.f64 alpha (fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha (neg.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha) alpha) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)) alpha))
(/ alpha (+ 2 alpha))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(fma.f64 alpha (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(fma.f64 beta (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(fma.f64 beta (fma.f64 (neg.f64 beta) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(/ alpha beta)
(/.f64 alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/.f64 (fma.f64 alpha (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) alpha) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/.f64 (-.f64 (fma.f64 alpha (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) alpha) (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (/.f64 (*.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta beta)))) beta)
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(neg.f64 (/.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (neg.f64 alpha)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (neg.f64 (fma.f64 alpha (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) alpha)) (neg.f64 beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 (neg.f64 alpha) (/.f64 (fma.f64 alpha (-.f64 #s(literal -2 binary64) alpha) (neg.f64 (/.f64 (*.f64 alpha (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) beta))) beta)) (neg.f64 beta))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))
(* -3 beta)
(*.f64 beta #s(literal -3 binary64))

eval234.0ms (2.1%)

Memory
-5.6MiB live, 235.7MiB allocated
Compiler

Compiled 28 978 to 3 041 computations (89.5% saved)

prune215.0ms (2%)

Memory
35.0MiB live, 270.1MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New9247931
Fresh01313
Picked325
Done011
Total92723950
Accuracy
100.0%
Counts
950 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
27.5%
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
74.8%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
75.9%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
49.7%
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓49.7%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
49.1%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
31.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
54.9%
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
44.6%
(/.f64 (fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
54.0%
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
26.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
23.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
▶27.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶27.5%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
6.4%
(/.f64 beta alpha)
25.1%
(/.f64 #s(literal 1 binary64) alpha)
27.3%
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
▶3.7%
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
▶76.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
▶27.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
✓38.3%
#s(literal 1 binary64)
✓50.3%
#s(literal 1/2 binary64)
Compiler

Compiled 599 to 369 computations (38.4% saved)

simplify547.0ms (5%)

Memory
-17.7MiB live, 635.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 beta #s(literal -3 binary64))
✓cost-diff0
(/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)
✓cost-diff320
(-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))
✓cost-diff512
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
✓cost-diff896
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
Rules
22 340×lower-fma.f64
22 340×lower-fma.f32
2 842×lower-+.f32
2 830×lower-+.f64
2 608×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027152
047138
184138
2155138
3300134
4720134
51991125
66887124
08111119
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
#s(literal -1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
alpha
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
#s(literal 1/2 binary64)
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)
(-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))
(*.f64 beta #s(literal -3 binary64))
beta
#s(literal -3 binary64)
(-.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 alpha (-.f64 #s(literal -2 binary64) beta))) (-.f64 beta alpha) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 alpha (-.f64 #s(literal -2 binary64) beta))) (-.f64 alpha beta) #s(literal 1 binary64))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 beta (-.f64 alpha (-.f64 #s(literal -2 binary64) beta)))
beta
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(-.f64 alpha (-.f64 #s(literal -2 binary64) beta))
(+.f64 alpha #s(literal 2 binary64))
alpha
#s(literal 2 binary64)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 (/.f64 alpha (-.f64 alpha (-.f64 #s(literal -2 binary64) beta))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 alpha (-.f64 alpha (-.f64 #s(literal -2 binary64) beta)))
#s(literal -1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 binary64))
#s(literal 1 binary64)
beta
alpha
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+.f64 beta #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
alpha
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)
(-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))
(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
(*.f64 beta #s(literal -3 binary64))
beta
#s(literal -3 binary64)
(-.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
alpha

localize81.0ms (0.7%)

Memory
-4.2MiB live, 187.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 beta #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
✓accuracy100.0%
(/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)
✓accuracy99.7%
(-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
✓accuracy100.0%
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
✓accuracy100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy99.8%
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
Samples
31.0ms192×0valid
16.0ms64×1exit
Compiler

Compiled 156 to 29 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 8.0ms (25.3% of total)
ival-add: 7.0ms (22.2% of total)
ival-mult: 7.0ms (22.2% of total)
adjust: 4.0ms (12.7% of total)
ival-sub: 4.0ms (12.7% of total)
exact: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
9.8MiB live, 48.6MiB allocated
Counts
17 → 312
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))>
#<alt (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)>
#<alt (+.f64 #s(literal 1 binary64) beta)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)>
#<alt (+.f64 beta (+.f64 #s(literal 2 binary64) beta))>
#<alt (+.f64 #s(literal 2 binary64) beta)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))>
#<alt (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))>
#<alt (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)>
#<alt (*.f64 beta #s(literal -3 binary64))>
#<alt (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))>
#<alt (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
Outputs
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt 2>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt (* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))>
#<alt -2>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (/ -2 alpha)>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (/ (- (+ beta (* -3 beta)) 2) alpha)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt (* -3 beta)>
#<alt -1>
#<alt (- (/ alpha (+ 2 beta)) 1)>
#<alt (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)>
#<alt (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)>
#<alt (/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (- (/ alpha (+ 2 alpha)) 1)>
#<alt (- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)>
#<alt (- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)>
#<alt (/ alpha (+ 2 beta))>
#<alt (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ alpha (+ 2 alpha))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
alpha
@inf
(/ (* 1/2 (+ beta (+ 2 beta))) alpha)
1.0ms
alpha
@0
(/ (* 1/2 (+ beta (+ 2 beta))) alpha)
1.0ms
alpha
@0
(* -1/2 (/ (- (* beta -3) (- 2 beta)) alpha))
1.0ms
beta
@-inf
(/ (* 1/2 (+ beta (+ 2 beta))) alpha)
0.0ms
alpha
@-inf
(/ (* 1/2 (+ beta (+ 2 beta))) alpha)

rewrite474.0ms (4.4%)

Memory
3.2MiB live, 564.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 670×lower-*.f32
5 662×lower-*.f64
4 340×lower-/.f32
4 330×lower-/.f64
2 760×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027127
047127
1206115
21877115
08324112
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 442
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
(*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) beta)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha)
(*.f64 beta #s(literal -3 binary64))
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
Outputs
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(-.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 beta) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 (/.f64 beta (fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(fma.f64 (/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))) (fma.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 beta #s(literal -3 binary64))) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (neg.f64 alpha) (-.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 beta #s(literal -3 binary64))) (neg.f64 alpha)) (*.f64 (neg.f64 alpha) (neg.f64 (-.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 beta #s(literal -3 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (neg.f64 alpha) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (*.f64 (neg.f64 alpha) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(pow.f64 (/.f64 alpha (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64))) alpha))
(*.f64 (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (neg.f64 (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -27 binary64) (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 2 binary64) beta)) (neg.f64 (-.f64 #s(literal 2 binary64) beta))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -3 binary64) (-.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 beta beta) #s(literal 9 binary64)))))
(*.f64 (pow.f64 (/.f64 alpha (*.f64 (fma.f64 beta #s(literal -3 binary64) (-.f64 #s(literal 2 binary64) beta)) (+.f64 beta (fma.f64 beta #s(literal -3 binary64) #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -3 binary64) (-.f64 #s(literal 2 binary64) beta))))
(*.f64 beta #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) beta)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(fma.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha) (*.f64 alpha #s(literal -1 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)) #s(literal -1 binary64)))
(neg.f64 (/.f64 alpha (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal 1 binary64)))
(/.f64 (neg.f64 alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 alpha)) (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (neg.f64 alpha) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(*.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))

simplify558.0ms (5.1%)

Memory
-8.7MiB live, 674.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 106×lower-fma.f64
10 106×lower-fma.f32
4 434×lower-*.f64
4 434×lower-*.f32
3 904×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05853953
118833610
258073523
084353371
Stop Event
1×iter limit
1×node limit
Counts
312 → 302
Calls
Call 1
Inputs
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
2
(+ 2 (* 2 beta))
(+ 2 (* 2 beta))
(+ 2 (* 2 beta))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
(* -1/2 (/ (- (+ beta (* -3 beta)) 2) alpha))
-2
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(/ -2 alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(/ (- (+ beta (* -3 beta)) 2) alpha)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
(* -3 beta)
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
Outputs
(- 1 (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 alpha (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta (*.f64 beta beta)))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) beta))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) beta))) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)) beta))) beta))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (-.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 alpha (fma.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (-.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta)) alpha) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha))))) (fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta)) alpha) (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64))) beta) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
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(/.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(fma.f64 alpha (fma.f64 alpha (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(fma.f64 (*.f64 alpha alpha) (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta)) alpha))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) alpha) (-.f64 #s(literal -2 binary64) beta)) alpha))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) beta)) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) alpha) (-.f64 #s(literal -2 binary64) beta)) alpha))
(/ alpha (+ 2 alpha))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(fma.f64 alpha (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(fma.f64 beta (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(fma.f64 beta (fma.f64 (neg.f64 beta) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(/ alpha beta)
(/.f64 alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 alpha beta) alpha) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/.f64 (fma.f64 alpha (/.f64 (-.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) alpha) beta) alpha) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/.f64 (fma.f64 alpha (/.f64 (-.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) alpha) beta) (fma.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta (*.f64 beta beta))) alpha)) beta)
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 alpha beta) alpha) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (fma.f64 alpha (/.f64 (-.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) alpha) beta) alpha) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (+.f64 alpha (/.f64 (fma.f64 alpha (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 alpha (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) beta)))) beta)) beta)) beta)

eval143.0ms (1.3%)

Memory
-16.5MiB live, 221.3MiB allocated
Compiler

Compiled 23 484 to 2 395 computations (89.8% saved)

prune180.0ms (1.7%)

Memory
8.6MiB live, 211.6MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New7904794
Fresh21315
Picked235
Done033
Total79423817
Accuracy
100.0%
Counts
817 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
74.8%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
75.9%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
49.7%
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
✓49.7%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
49.1%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
31.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
54.9%
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
44.6%
(/.f64 (fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
54.0%
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
26.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
23.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓27.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
6.4%
(/.f64 beta alpha)
25.1%
(/.f64 #s(literal 1 binary64) alpha)
27.3%
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
27.5%
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
27.5%
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
✓76.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
✓27.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
✓38.3%
#s(literal 1 binary64)
✓50.3%
#s(literal 1/2 binary64)
3.7%
#s(literal 0 binary64)
Compiler

Compiled 829 to 327 computations (60.6% saved)

regimes109.0ms (1%)

Memory
-4.7MiB live, 111.7MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64))) (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
Calls

5 calls:

39.0ms
alpha
25.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
21.0ms
beta
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.6%2alpha
76.6%1beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes47.0ms (0.4%)

Memory
8.5MiB live, 49.3MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
Calls

3 calls:

29.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory
19.9MiB live, 56.6MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) alpha))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

23.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes56.0ms (0.5%)

Memory
-20.1MiB live, 58.1MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal -3 binary64)) (-.f64 #s(literal 2 binary64) beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -3 binary64) beta)) alpha))
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

31.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
16.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes31.0ms (0.3%)

Memory
-6.0MiB live, 45.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Calls

3 calls:

17.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes34.0ms (0.3%)

Memory
6.7MiB live, 44.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

21.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
-4.5MiB live, 34.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
Calls

3 calls:

6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
3.0MiB live, 42.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
Calls

4 calls:

12.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.0ms
alpha
4.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
76.4%3alpha
98.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-7.9MiB live, 35.4MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-8.5MiB live, 30.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
95.2%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
95.2%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
95.2%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
Outputs
(/.f64 #s(literal 1 binary64) alpha)
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.1%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
95.1%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
95.1%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-5.5MiB live, 33.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

5 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
alpha
2.0ms
beta
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
55.6%2alpha
73.4%2beta
73.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
73.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
73.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-17.9MiB live, 21.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

5 calls:

2.0ms
beta
2.0ms
alpha
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
50.3%1alpha
50.3%1beta
50.3%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
50.3%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
50.3%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

5 calls:

1.0ms
alpha
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
beta
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
3.7%1alpha
3.7%1beta
3.7%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.7%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.7%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999990261182
-0.985475588606872
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999990261182
-0.985475588606872
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999990261182
-0.985475588606872
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999990261182
-0.985475588606872
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999990261182
-0.985475588606872
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.152269293528304e-7
0.9999558318664282
0.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.152269293528304e-7
0.9999558318664282
0.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch27.0ms (0.2%)

Memory
-39.0MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.152269293528304e-7
0.9999558318664282
26.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.152269293528304e-7
0.9999558318664282
0.0ms
-0.985475588606872
-2.9336053577890827e-5
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.152269293528304e-7
0.9999558318664282
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify53.0ms (0.5%)

Memory
14.0MiB live, 52.9MiB allocated
Algorithm
1×egg-herbie
Rules
258×distribute-lft-neg-in_binary64
170×distribute-neg-in_binary64
170×neg-mul-1_binary64
156×neg-sub0_binary64
112×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069403
190403
2110403
3133403
4161403
5209403
6267403
7330403
8398403
9472403
10544403
11618403
12703403
13809403
14928403
15965403
16971403
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4458563631096791/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 (*.f64 alpha alpha) #s(literal 1/8 binary64) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.2s (11.3%)

Memory
22.0MiB live, 1 369.1MiB allocated
Rules
10 106×lower-fma.f64
10 106×lower-fma.f32
9 688×lower-fma.f64
9 688×lower-fma.f32
6 132×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029138
053136
1249131
22061131
09405127
027127
047127
1206115
21877115
08324112
05853953
118833610
258073523
084353371
04332500
113942354
245632155
086422014
0174013507
1575612940
0809312303
032230
058194
1300192
22908192
08297188
01044
01644
19144
274844
0905743
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×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 797 to 356 computations (55.3% saved)

preprocess96.0ms (0.9%)

Memory
2.7MiB live, 213.4MiB allocated
Compiler

Compiled 840 to 156 computations (81.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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