Octave 3.8, jcobi/1

Time bar (total: 10.8s)

analyze2.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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 (11.3%)

Memory
1.3MiB live, 1 801.4MiB allocated
Samples
468.0ms6 069×0valid
263.0ms1 433×1valid
155.0ms754×2valid
Precisions
Click to see histograms. Total time spent on operations: 645.0ms
ival-div: 188.0ms (29.1% of total)
ival-add: 157.0ms (24.3% of total)
adjust: 101.0ms (15.7% of total)
ival-sub: 95.0ms (14.7% of total)
ival->: 74.0ms (11.5% of total)
exact: 15.0ms (2.3% of total)
ival-and: 11.0ms (1.7% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess371.0ms (3.4%)

Memory
9.8MiB live, 201.2MiB 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))))

explain166.0ms (1.5%)

Memory
12.7MiB live, 293.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(7.641924632438148e-127 1.965404063179671e+240)(-.f64 beta alpha)
2560-256(7.641924632438148e-127 1.965404063179671e+240)(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1960-196(7.641924632438148e-127 1.965404063179671e+240)(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
1870-124(1.0956537091651328e-88 4.412554451517182e-265)(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
1870-187(1.5962133173690373e+24 1.1043323378473027e-32)(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1190-119(1.5962133173690373e+24 1.1043323378473027e-32)(+.f64 alpha beta)
00-0-beta
00-0-#s(literal 1 binary64)
00-0-alpha
00-0-#s(literal 2 binary64)
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))cancellation630
Confusion
Predicted +Predicted -
+630
-0193
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6300
-00193
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0193
163
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms392×0valid
12.0ms86×1valid
7.0ms34×2valid
Compiler

Compiled 180 to 54 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (34.1% of total)
ival-add: 9.0ms (34.1% of total)
adjust: 4.0ms (15.2% of total)
ival-sub: 4.0ms (15.2% of total)
exact: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(/.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)

simplify191.0ms (1.8%)

Memory
-13.5MiB live, 75.3MiB 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)

localize42.0ms (0.4%)

Memory
-8.7MiB live, 66.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy37.2%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy26.8%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓accuracy11.8%
(-.f64 beta alpha)
✓accuracy3.7%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Samples
21.0ms196×0valid
6.0ms43×1valid
4.0ms17×2valid
Compiler

Compiled 100 to 22 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (37.3% of total)
ival-div: 4.0ms (29.8% of total)
adjust: 2.0ms (14.9% of total)
ival-sub: 2.0ms (14.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-5.1MiB live, 30.2MiB allocated
Counts
5 → 120
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 (+.f64 alpha beta) #s(literal 2 binary64))>
Outputs
#<alt (* 1/2 (- 1 (/ 1 (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 3 alpha) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (+ 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))) (/ 1 (+ 2 beta))))>
#<alt (+ (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))))>
#<alt (+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))))))))>
#<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 (/ 1 (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (/ 1 (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 3 alpha) beta)))>
#<alt (- (+ 2 (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (- (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2))))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (+ (/ alpha 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))) (/ 1 (+ 2 beta)))>
#<alt (- (+ 1 (+ (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))>
#<alt (- (+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))>
#<alt (- (+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 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 (+ 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

30 calls:

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

Compiled 449 to 265 computations (41% saved)

rewrite317.0ms (2.9%)

Memory
36.7MiB live, 663.6MiB 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
01041
01641
19141
274841
0905740
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 422
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 (+.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)))))
(fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) #s(literal 1 binary64))
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(*.f64 (/.f64 (+.f64 beta alpha) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 alpha (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(fma.f64 #s(literal 1 binary64) (+.f64 beta alpha) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(fma.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(fma.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) #s(literal 2 binary64))
(fma.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) alpha)
(fma.f64 (/.f64 (+.f64 beta alpha) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))) (/.f64 (-.f64 beta alpha) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))))) (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) (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 (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))))
(/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (neg.f64 (neg.f64 (+.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 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 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 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 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))))) (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 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))) (neg.f64 (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 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64))))
(/.f64 (neg.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)))))) (neg.f64 (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 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (fma.f64 beta (*.f64 beta beta) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.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)))))
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.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))))

simplify435.0ms (4%)

Memory
-29.2MiB live, 736.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 196×lower-fma.f64
9 196×lower-fma.f32
4 200×lower-+.f64
4 200×lower-+.f32
3 766×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04362428
114002275
246692093
088161984
Stop Event
1×iter limit
1×node limit
Counts
120 → 113
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ 1 (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))
1
(+ 1 (* -1/2 (/ (+ 3 alpha) beta)))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (+ 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 beta))))
(+ (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ 1 (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (/ 1 (+ 2 alpha)))
(- (+ 1 (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 3 alpha) beta)))
(- (+ 2 (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(- (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2))))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (+ (/ alpha 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 (+ 2 beta)))
(- (+ 1 (+ (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))
(- (+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))
(- (+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 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)))))
(+ 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 (/ 1 (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))
(fma.f64 beta (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 3 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)))
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 (+.f64 #s(literal 2 binary64) alpha) (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 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta))) beta)) beta))
(* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(+ (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (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 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))
(fma.f64 alpha (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.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) (*.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 (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 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (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 #s(literal 2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (/.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) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha alpha)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 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))) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (neg.f64 beta)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 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)))) alpha)) (neg.f64 alpha))) alpha)) (neg.f64 alpha))
(- 1 (/ 1 (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (/ 1 (+ 2 alpha)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)))
(- (+ 1 (* beta (+ (* beta (- (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))) (/ 1 (+ 2 alpha)))
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2
#s(literal 2 binary64)
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(- (+ 2 (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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2
#s(literal 2 binary64)
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(/ (+ 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)
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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 (/ (- (* -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 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) 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))
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(* -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))
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(* -1 (/ alpha (+ 2 alpha)))
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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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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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(/ beta (+ 2 beta))
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(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (+ (/ 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)))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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(* -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 alpha (/.f64 beta alpha)) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha)
(* alpha (- (/ beta alpha) 1))
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha)
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha 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 #s(literal 2 binary64) alpha)
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha 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)

eval77.0ms (0.7%)

Memory
39.2MiB live, 148.2MiB allocated
Compiler

Compiled 17 003 to 2 145 computations (87.4% saved)

prune109.0ms (1%)

Memory
19.7MiB live, 169.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New52213535
Fresh000
Picked101
Done000
Total52313536
Accuracy
100.0%
Counts
536 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
29.4%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
66.8%
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶24.9%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
25.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
22.6%
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 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))) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta) alpha)
▶49.7%
(/.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)))
26.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
77.4%
(/.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))))
▶29.3%
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
15.2%
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
49.7%
(*.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))))
▶37.7%
#s(literal 1 binary64)
Compiler

Compiled 540 to 322 computations (40.4% saved)

simplify381.0ms (3.5%)

Memory
-17.1MiB live, 649.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (-.f64 beta alpha) (-.f64 beta alpha))
✓cost-diff0
(/.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))))
✓cost-diff0
(/.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)))
✓cost-diff128
(+.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))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓cost-diff576
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
✓cost-diff0
(fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))
✓cost-diff0
(/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
✓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))
Rules
16 286×lower-fma.f32
16 276×lower-fma.f64
3 532×lower-*.f32
3 526×lower-*.f64
2 898×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032261
060261
1110261
2222261
3571261
41985253
56654253
08241251
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(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)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
#s(literal 1 binary64)
(/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)
(fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))
alpha
#s(literal -1/2 binary64)
#s(literal -3/2 binary64)
beta
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
#s(literal -2 binary64)
alpha
(+.f64 #s(literal 1 binary64) beta)
#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 (/.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 (*.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 beta alpha) (-.f64 beta alpha))
(-.f64 beta alpha)
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 beta alpha))
#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))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
Outputs
(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)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
#s(literal 1 binary64)
(/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)
(fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))
alpha
#s(literal -1/2 binary64)
#s(literal -3/2 binary64)
beta
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) alpha)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(+.f64 #s(literal 2 binary64) beta)
(+.f64 beta #s(literal 2 binary64))
#s(literal 2 binary64)
beta
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
#s(literal -2 binary64)
alpha
(+.f64 #s(literal 1 binary64) beta)
(+.f64 beta #s(literal 1 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 (fma.f64 (-.f64 beta alpha) (/.f64 (-.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 (/.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 (-.f64 beta alpha) (/.f64 (-.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 (*.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 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 (-.f64 beta alpha) (-.f64 beta alpha))
(-.f64 beta alpha)
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 beta alpha))
#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))
#s(literal 2 binary64)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))

localize200.0ms (1.9%)

Memory
22.6MiB live, 310.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy2.1%
(+.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))
✓accuracy2.0%
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))
✓accuracy1.7%
(/.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))))
✓accuracy1.1%
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
✓accuracy9.7%
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
✓accuracy2.9%
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
✓accuracy1.9%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
✓accuracy1.4%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy4.1%
(fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))
✓accuracy4.1%
(/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)
✓accuracy3.3%
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
✓accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓accuracy52.5%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
✓accuracy32.4%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy6.7%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
Samples
63.0ms126×0valid
50.0ms96×1valid
24.0ms34×2valid
Compiler

Compiled 539 to 71 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-add: 23.0ms (32.2% of total)
ival-mult: 16.0ms (22.4% of total)
ival-div: 14.0ms (19.6% of total)
adjust: 13.0ms (18.2% of total)
ival-sub: 5.0ms (7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.4%)

Memory
-20.4MiB live, 212.4MiB allocated
Counts
20 → 432
Calls
Call 1
Inputs
#<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 beta (+.f64 alpha #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))>
#<alt (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)>
#<alt (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)>
#<alt (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))>
#<alt (+.f64 #s(literal 2 binary64) beta)>
#<alt (+.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))>
#<alt (/.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)))>
#<alt (/.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))))>
#<alt (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))>
#<alt (+.f64 alpha #s(literal 2 binary64))>
#<alt (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))>
#<alt (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)>
#<alt (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))>
#<alt (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))>
Outputs
#<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)))>
#<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 (+ 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 (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (+ beta (* -1/2 alpha)) 3/2) beta)>
#<alt (/ (- (+ beta (* -1/2 alpha)) 3/2) beta)>
#<alt (/ (- (+ beta (* -1/2 alpha)) 3/2) beta)>
#<alt 1>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt 1>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))>
#<alt (/ -3/2 beta)>
#<alt (- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))>
#<alt (- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))>
#<alt (- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt (/ (- (* -1/2 alpha) 3/2) beta)>
#<alt -3/2>
#<alt (- (* -1/2 alpha) 3/2)>
#<alt (- (* -1/2 alpha) 3/2)>
#<alt (- (* -1/2 alpha) 3/2)>
#<alt (* -1/2 alpha)>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (* -1/2 alpha)>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (/ -4 alpha)>
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) 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 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) 1)>
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#<alt (+ 1 (* -1 (/ (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* 8 (pow (+ 2 alpha) 2)) (* (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (* 4 alpha))) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (pow alpha 3)) (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2))))) (+ (* -4 (pow (+ 2 alpha) 3)) (+ (* -1 (* (+ 2 alpha) (+ (* 2 (pow (+ 2 alpha) 2)) (* 4 (pow (+ 2 alpha) 2))))) (+ (* (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* 8 (pow (+ 2 alpha) 2)) (* (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))))))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (* 8 (pow (+ 2 alpha) 2))) (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))))))))) beta)) (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2)))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* 8 (pow (+ 2 alpha) 2)) (* (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (* 4 alpha))) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))>
#<alt (/ (pow beta 3) (pow (+ 2 beta) 3))>
#<alt (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))>
#<alt (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* alpha (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))>
#<alt (+ (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))>
#<alt -1>
#<alt (- (+ (* 4 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 10 (+ beta (* 4 beta))) alpha))))>
#<alt (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (/ beta alpha)))) (+ 1 (+ (* -1 (/ (+ 10 (+ beta (* 4 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (pow alpha 2))) (/ (* (+ 10 (+ beta (* 4 beta))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta)))))) (pow alpha 2))))))>
#<alt (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (pow beta 3) (pow alpha 3))) (+ (/ beta alpha) (/ (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2)))) (pow alpha 3))))))) (+ 1 (+ (* -1 (/ (+ 10 (+ beta (* 4 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 2 beta) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (pow alpha 3))) (+ (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (pow alpha 2))) (+ (/ (* (+ 10 (+ beta (* 4 beta))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta)))))) (pow alpha 2)) (+ (/ (* (+ 10 (+ beta (* 4 beta))) (- (+ (* -4 (pow beta 2)) (* -1 (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) (+ (* -1 (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2)))) (* (+ 10 (+ beta (* 4 beta))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta))))))))) (pow alpha 3)) (/ (* (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta)))))) (pow alpha 3)))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (- (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))))))) alpha)) (* 4 beta))) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (pow beta 3)) (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) (+ (* -4 (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))))) (+ (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (* 8 (pow (+ 2 beta) 2))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))))))))) alpha)) (+ (* 2 (pow beta 2)) (* 8 (pow beta 2)))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))))))) alpha)) (* 4 beta))) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))>
#<alt (* -1 (pow alpha 3))>
#<alt (+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))))>
#<alt (+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ (* -2 alpha) (* -1 alpha))) (pow alpha 2)))))>
#<alt (+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ beta (+ (* -2 alpha) (* -1 alpha)))) (pow alpha 2)))))>
#<alt (pow beta 5)>
#<alt (* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (* -1 (/ alpha beta)))))>
#<alt (* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (* 8 (/ (pow alpha 2) (pow beta 2))))))))>
#<alt (* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -4 (/ (pow alpha 3) (pow beta 3))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2)))) (pow beta 3))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (* 8 (/ (pow alpha 2) (pow beta 2))))))))))>
#<alt (* -1 (pow beta 5))>
#<alt (* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (* 4 alpha)) beta)))))>
#<alt (* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) beta)) (* 4 alpha))) beta)))))>
#<alt (* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow alpha 3)) (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2))))) beta)) (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2)))) beta)) (* 4 alpha))) beta)))))>
#<alt (pow beta 3)>
#<alt (+ (* alpha (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (pow beta 3))>
#<alt (+ (* alpha (+ (* -2 (pow beta 2)) (+ (* -1 (pow beta 2)) (* alpha (+ beta (* 2 beta)))))) (pow beta 3))>
#<alt (+ (* alpha (+ (* -2 (pow beta 2)) (+ (* -1 (pow beta 2)) (* alpha (+ beta (+ (* -1 alpha) (* 2 beta))))))) (pow beta 3))>
#<alt (* -1 (pow alpha 5))>
#<alt (* (pow alpha 5) (- (+ (* 4 (/ beta alpha)) (/ beta alpha)) 1))>
#<alt (* (pow alpha 5) (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (/ beta alpha)))) 1))>
#<alt (* (pow alpha 5) (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (pow beta 3) (pow alpha 3))) (+ (/ beta alpha) (/ (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2)))) (pow alpha 3))))))) 1))>
#<alt (* -1 (pow alpha 5))>
#<alt (* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (* 4 beta)) alpha)))))>
#<alt (* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) alpha)) (* 4 beta))) alpha)))))>
#<alt (* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow beta 3)) (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) alpha)) (+ (* 2 (pow beta 2)) (* 8 (pow beta 2)))) alpha)) (* 4 beta))) alpha)))))>
#<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 -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 (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (pow (+ 2 alpha) 2)>
#<alt (+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (pow beta 4)>
#<alt (* (pow beta 4) (+ 1 (* 4 (/ (+ 2 alpha) beta))))>
#<alt (* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 alpha)) (* -1 (/ (+ (* 2 (pow (+ 2 alpha) 2)) (* 4 (pow (+ 2 alpha) 2))) beta))) beta))))>
#<alt (* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 alpha)) (* -1 (/ (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* 4 (/ (pow (+ 2 alpha) 3) beta)) (* 4 (pow (+ 2 alpha) 2)))) beta))) beta))))>
#<alt (pow (+ 2 beta) 2)>
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (pow alpha 4)>
#<alt (* (pow alpha 4) (+ 1 (* 4 (/ (+ 2 beta) alpha))))>
#<alt (* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) alpha))) alpha))))>
#<alt (* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (/ (pow (+ 2 beta) 3) alpha)) (* 4 (pow (+ 2 beta) 2)))) alpha))) alpha))))>
#<alt (- (* -2 (/ alpha (+ 2 alpha))) 2)>
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2)>
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2)>
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2)>
#<alt (* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))>
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta)>
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta)>
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta)>
#<alt (* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))>
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))>
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))>
#<alt (- (* 2 (/ beta (+ 2 beta))) 2)>
#<alt (- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)>
#<alt (- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)>
#<alt (- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)>
#<alt -4>
#<alt (- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)>
#<alt (- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)>
#<alt (- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)>
#<alt -4>
#<alt (- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)>
#<alt (- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)>
Calls

108 calls:

TimeVariablePointExpression
26.0ms
beta
@inf
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
23.0ms
beta
@-inf
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
7.0ms
alpha
@inf
(+ (/ (* (- beta alpha) (- beta alpha)) (* (- -2 (+ beta alpha)) (- -2 (+ beta alpha)))) -1)
6.0ms
beta
@inf
(* (- beta alpha) (- beta alpha))
4.0ms
beta
@0
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (- -2 (+ beta alpha)) (- -2 (+ beta alpha)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
Compiler

Compiled 1 581 to 1 023 computations (35.3% saved)

rewrite388.0ms (3.6%)

Memory
38.9MiB live, 700.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 856×lower-*.f32
5 850×lower-*.f64
4 442×lower-/.f32
4 430×lower-/.f64
3 308×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032209
060185
1303179
22757179
09269177
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 649
Calls
Call 1
Inputs
(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 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)
(fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(+.f64 #s(literal 2 binary64) beta)
(+.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 (+.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 (*.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 beta alpha) (-.f64 beta alpha))
(+.f64 alpha #s(literal 2 binary64))
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) 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))
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 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)))) #s(literal 1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
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(*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))))
(*.f64 (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (neg.f64 alpha)))
(neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 alpha))
(/.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (*.f64 alpha (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64))))))
(/.f64 (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))))
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(/.f64 (*.f64 (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)) alpha))
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(/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 beta (*.f64 beta #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))))
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(pow.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (neg.f64 (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(fma.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -2 binary64) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (neg.f64 (+.f64 beta alpha))))
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(/.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
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(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.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 (*.f64 (-.f64 #s(literal -8 binary64) (*.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))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #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)))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (fma.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)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (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)))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 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)))) #s(literal 4 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64)) (-.f64 (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)))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (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)))) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64))) (neg.f64 (-.f64 (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)))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (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)))) #s(literal 4 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 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 4 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (-.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 4 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (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)))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 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)))) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (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)))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64)))))
(*.f64 (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)))) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))

simplify775.0ms (7.2%)

Memory
-127.6MiB live, 948.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 656×lower-fma.f64
6 656×lower-fma.f32
5 308×lower-*.f64
5 308×lower-*.f32
5 086×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159618626
1529718184
0835416858
Stop Event
1×iter limit
1×node limit
Counts
432 → 421
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ 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)))))
(+ 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 (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(* -1/2 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (* 1/2 (/ 1 beta)) (/ 3/2 (* alpha beta)))))
(* -1/2 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 3/2 (/ 1 beta))) alpha)) (* 1/2 (/ 1 beta)))))
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (+ beta (* -1/2 alpha)) 3/2) beta)
(/ (- (+ beta (* -1/2 alpha)) 3/2) beta)
(/ (- (+ beta (* -1/2 alpha)) 3/2) beta)
1
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
1
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(- (+ 1 (* -1/2 (/ alpha beta))) (* 3/2 (/ 1 beta)))
(/ -3/2 beta)
(- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))
(- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))
(- (* -1/2 (/ alpha beta)) (* 3/2 (/ 1 beta)))
(* -1/2 (/ alpha beta))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(* -1/2 (/ alpha beta))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(* -1 (* alpha (+ (* 1/2 (/ 1 beta)) (* 3/2 (/ 1 (* alpha beta))))))
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
(/ (- (* -1/2 alpha) 3/2) beta)
-3/2
(- (* -1/2 alpha) 3/2)
(- (* -1/2 alpha) 3/2)
(- (* -1/2 alpha) 3/2)
(* -1/2 alpha)
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(* -1/2 alpha)
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(* -1 (* alpha (+ 1/2 (* 3/2 (/ 1 alpha)))))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) 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 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) 1)
(- (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))) 1)
(- (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3))))) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))) 1)
(- (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3))) (* beta (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (+ (* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 6))) (+ (/ (* (+ 6 (+ alpha (* 2 alpha))) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3)) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 3))) (* -1 (/ alpha (pow (+ 2 alpha) 3)))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3))))) (pow (+ 2 alpha) 3)))))))) (+ (* -1 (/ (* (pow alpha 3) (+ 6 (+ alpha (* 2 alpha)))) (pow (+ 2 alpha) 6))) (/ (* (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (* 2 (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6))))) (pow (+ 2 alpha) 3))))) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -1 (/ (* (pow alpha 3) (+ (* (+ 2 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 6)))))) 1)
(/ (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha)))) beta)
(/ (- (+ (* -4 alpha) (+ (* -1 alpha) (+ (* 2 (/ (pow alpha 2) beta)) (* 8 (/ (pow alpha 2) beta))))) (+ 10 (+ alpha (+ (* 2 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 4 alpha) (+ (/ (* (+ 2 alpha) (+ 8 (* 4 alpha))) beta) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) beta) (/ (pow (+ 4 (* 2 alpha)) 2) beta)))))))) beta)
(/ (- (+ (* -4 alpha) (+ (* -4 (/ (pow alpha 3) (pow beta 2))) (+ (* -1 alpha) (+ (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2)))) (pow beta 2))) (+ (* 2 (/ (pow alpha 2) beta)) (* 8 (/ (pow alpha 2) beta))))))) (+ 10 (+ alpha (+ (* 2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 2))) (+ (* 2 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 4 alpha) (+ (/ (* (+ 2 alpha) (+ 8 (* 4 alpha))) beta) (+ (/ (* (+ 2 alpha) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2))) (pow beta 2)) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) beta) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (+ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow (+ 4 (* 2 alpha)) 2)))))) (pow beta 2)) (+ (/ (* (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (pow (+ 4 (* 2 alpha)) 2))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow beta 2)) (/ (pow (+ 4 (* 2 alpha)) 2) beta)))))))))))) beta)
(/ (- (+ (* -4 alpha) (+ (* -4 (/ (pow alpha 3) (pow beta 2))) (+ (* -1 alpha) (+ (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2)))) (pow beta 2))) (+ (* 2 (/ (pow alpha 2) beta)) (+ (* 4 (/ (pow alpha 4) (pow beta 3))) (+ (* 8 (/ (pow alpha 2) beta)) (/ (pow alpha 4) (pow beta 3))))))))) (+ 10 (+ alpha (+ (* 2 (/ (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha))) (pow beta 2))) (+ (* 2 (/ (* (pow (+ 2 alpha) 3) (+ 4 (* 2 alpha))) (pow beta 3))) (+ (* 2 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 4 alpha) (+ (/ (* (+ 2 alpha) (+ 8 (* 4 alpha))) beta) (+ (/ (* (+ 2 alpha) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2))) (pow beta 2)) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) beta) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 (pow alpha 3)) (* -1 (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2)))))) (+ (* 2 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))) (+ (* (+ 2 alpha) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2))) (+ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (+ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow (+ 4 (* 2 alpha)) 2)))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (pow (+ 4 (* 2 alpha)) 2))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha)))))))))) (pow beta 3)) (+ (/ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (+ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow (+ 4 (* 2 alpha)) 2)))))) (pow beta 2)) (+ (/ (* (+ (* 2 (* (pow (+ 2 alpha) 2) (+ 4 (* 2 alpha)))) (* (+ 2 alpha) (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 4 (* 2 alpha)) 2)))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow beta 3)) (+ (/ (* (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (pow (+ 4 (* 2 alpha)) 2))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow beta 2)) (+ (/ (* (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (pow (+ 4 (* 2 alpha)) 2))) (- (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ 2 alpha) (+ 8 (* 4 alpha))) (+ (* (+ 10 (+ alpha (* 4 alpha))) (- (+ (* -4 alpha) (* -1 alpha)) (+ 10 (+ alpha (* 4 alpha))))) (pow (+ 4 (* 2 alpha)) 2)))))) (pow beta 3)) (+ (/ (pow (+ 2 alpha) 4) (pow beta 3)) (/ (pow (+ 4 (* 2 alpha)) 2) beta))))))))))))))))) beta)
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(* -1 (/ (pow alpha 3) (pow (+ 2 alpha) 3)))
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1
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1
(+ 1 (* -1 (/ (- (+ alpha (* 4 alpha)) (+ (* -4 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
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(/ (pow beta 3) (pow (+ 2 beta) 3))
(+ (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))
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(+ (* alpha (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (+ (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)) (/ (pow beta 3) (pow (+ 2 beta) 6))))))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (/ beta (pow (+ 2 beta) 3)))) (+ (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (pow beta 2) (pow (+ 2 beta) 3)))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (pow (+ 2 beta) 3)) (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))))))) (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (/ (pow beta 3) (pow (+ 2 beta) 3)))
-1
(- (+ (* 4 (/ beta alpha)) (/ beta alpha)) (+ 1 (* -1 (/ (+ 10 (+ beta (* 4 beta))) alpha))))
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(- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (pow beta 3) (pow alpha 3))) (+ (/ beta alpha) (/ (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2)))) (pow alpha 3))))))) (+ 1 (+ (* -1 (/ (+ 10 (+ beta (* 4 beta))) alpha)) (+ (* -1 (/ (+ (* 2 (* (pow (+ 2 beta) 2) (+ 4 (* 2 beta)))) (* (+ 2 beta) (+ (* 2 (pow (+ 2 beta) 2)) (pow (+ 4 (* 2 beta)) 2)))) (pow alpha 3))) (+ (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (pow alpha 2))) (+ (/ (* (+ 10 (+ beta (* 4 beta))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta)))))) (pow alpha 2)) (+ (/ (* (+ 10 (+ beta (* 4 beta))) (- (+ (* -4 (pow beta 2)) (* -1 (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) (+ (* -1 (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2)))) (* (+ 10 (+ beta (* 4 beta))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta))))))))) (pow alpha 3)) (/ (* (+ (* 2 (pow (+ 2 beta) 2)) (+ (* (+ 2 beta) (+ 8 (* 4 beta))) (pow (+ 4 (* 2 beta)) 2))) (- (+ beta (* 4 beta)) (* -1 (+ 10 (+ beta (* 4 beta)))))) (pow alpha 3)))))))))
1
(+ 1 (* -1 (/ (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))
(+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (- (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))))))) alpha)) (* 4 beta))) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))
(+ 1 (* -1 (/ (- (+ beta (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (pow beta 3)) (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) (+ (* -4 (pow (+ 2 beta) 3)) (+ (* -1 (* (+ 2 beta) (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))))) (+ (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))))))))) (* (+ (* 2 (pow (+ 2 beta) 2)) (* 8 (pow (+ 2 beta) 2))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))))))))) alpha)) (+ (* 2 (pow beta 2)) (* 8 (pow beta 2)))) (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 8 (pow (+ 2 beta) 2)) (* (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta))) (- (+ beta (* 4 beta)) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))))))) alpha)) (* 4 beta))) (+ (* -4 (+ 2 beta)) (* -1 (+ 2 beta)))) alpha)))
(* -1 (pow alpha 3))
(+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (pow alpha 2))))
(+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ (* -2 alpha) (* -1 alpha))) (pow alpha 2)))))
(+ (* -1 (pow alpha 3)) (* beta (+ (* 2 (pow alpha 2)) (+ (* beta (+ beta (+ (* -2 alpha) (* -1 alpha)))) (pow alpha 2)))))
(pow beta 5)
(* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (* -1 (/ alpha beta)))))
(* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (* 8 (/ (pow alpha 2) (pow beta 2))))))))
(* (pow beta 5) (+ 1 (+ (* -4 (/ alpha beta)) (+ (* -4 (/ (pow alpha 3) (pow beta 3))) (+ (* -1 (/ alpha beta)) (+ (* -1 (/ (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2)))) (pow beta 3))) (+ (* 2 (/ (pow alpha 2) (pow beta 2))) (* 8 (/ (pow alpha 2) (pow beta 2))))))))))
(* -1 (pow beta 5))
(* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (* 4 alpha)) beta)))))
(* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2))) beta)) (* 4 alpha))) beta)))))
(* -1 (* (pow beta 5) (+ 1 (* -1 (/ (+ alpha (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow alpha 3)) (* alpha (+ (* 2 (pow alpha 2)) (* 4 (pow alpha 2))))) beta)) (+ (* 2 (pow alpha 2)) (* 8 (pow alpha 2)))) beta)) (* 4 alpha))) beta)))))
(pow beta 3)
(+ (* alpha (+ (* -2 (pow beta 2)) (* -1 (pow beta 2)))) (pow beta 3))
(+ (* alpha (+ (* -2 (pow beta 2)) (+ (* -1 (pow beta 2)) (* alpha (+ beta (* 2 beta)))))) (pow beta 3))
(+ (* alpha (+ (* -2 (pow beta 2)) (+ (* -1 (pow beta 2)) (* alpha (+ beta (+ (* -1 alpha) (* 2 beta))))))) (pow beta 3))
(* -1 (pow alpha 5))
(* (pow alpha 5) (- (+ (* 4 (/ beta alpha)) (/ beta alpha)) 1))
(* (pow alpha 5) (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (/ beta alpha)))) 1))
(* (pow alpha 5) (- (+ (* -4 (/ (pow beta 2) (pow alpha 2))) (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 4 (/ (pow beta 3) (pow alpha 3))) (+ (/ beta alpha) (/ (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2)))) (pow alpha 3))))))) 1))
(* -1 (pow alpha 5))
(* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (* 4 beta)) alpha)))))
(* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (+ (* -1 (/ (+ (* 2 (pow beta 2)) (* 8 (pow beta 2))) alpha)) (* 4 beta))) alpha)))))
(* -1 (* (pow alpha 5) (+ 1 (* -1 (/ (+ beta (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (pow beta 3)) (* beta (+ (* 2 (pow beta 2)) (* 4 (pow beta 2))))) alpha)) (+ (* 2 (pow beta 2)) (* 8 (pow beta 2)))) alpha)) (* 4 beta))) alpha)))))
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))))
-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))))))
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(pow (+ 2 alpha) 2)
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(pow beta 4)
(* (pow beta 4) (+ 1 (* 4 (/ (+ 2 alpha) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 alpha)) (* -1 (/ (+ (* 2 (pow (+ 2 alpha) 2)) (* 4 (pow (+ 2 alpha) 2))) beta))) beta))))
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 alpha)) (* -1 (/ (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* 4 (/ (pow (+ 2 alpha) 3) beta)) (* 4 (pow (+ 2 alpha) 2)))) beta))) beta))))
(pow (+ 2 beta) 2)
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(pow alpha 4)
(* (pow alpha 4) (+ 1 (* 4 (/ (+ 2 beta) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) alpha))) alpha))))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (/ (pow (+ 2 beta) 3) alpha)) (* 4 (pow (+ 2 beta) 2)))) alpha))) alpha))))
(- (* -2 (/ alpha (+ 2 alpha))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2)
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta)
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(- (* 2 (/ beta (+ 2 beta))) 2)
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)
-4
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)
-4
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.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)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (*.f64 beta beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 #s(literal 1/2 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) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.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)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha)) alpha)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(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))))) (/.f64 (neg.f64 alpha) (+.f64 alpha #s(literal 2 binary64))))
(+ (* -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))))))
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(+ (* -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))))))
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(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal 1 binary64)))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (* 4 (pow (+ 2 beta) 2))) alpha))) alpha))))
(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) #s(literal 6 binary64)) alpha)) alpha)))
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ 2 beta)) (* -1 (/ (+ (* 2 (pow (+ 2 beta) 2)) (+ (* 4 (/ (pow (+ 2 beta) 3) alpha)) (* 4 (pow (+ 2 beta) 2)))) alpha))) alpha))))
(*.f64 (pow.f64 alpha #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)))
(- (* -2 (/ alpha (+ 2 alpha))) 2)
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2)
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64)))
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2)
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 beta (*.f64 #s(literal 2 binary64) (fma.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -2 binary64)))
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2)
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 beta (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (*.f64 #s(literal 2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) #s(literal -2 binary64)))
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta)
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta)
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (*.f64 beta beta))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta)
(/.f64 (fma.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (*.f64 beta beta))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) (*.f64 beta (*.f64 beta beta))))) beta)
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta)
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -2 binary64))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -2 binary64)) (/.f64 (fma.f64 #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) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) beta)) beta))
(- (* 2 (/ beta (+ 2 beta))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)
(fma.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.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)))) #s(literal -2 binary64))) #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) #s(literal -2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))) #s(literal -2 binary64)))
-4
#s(literal -4 binary64)
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64))
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64)))
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (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))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -2 binary64) #s(literal -4 binary64))
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) #s(literal -4 binary64))
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) alpha)) #s(literal -4 binary64))

eval231.0ms (2.1%)

Memory
16.9MiB live, 424.2MiB allocated
Compiler

Compiled 59 096 to 4 660 computations (92.1% saved)

prune166.0ms (1.5%)

Memory
23.7MiB live, 431.5MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 357121 369
Fresh448
Picked415
Done000
Total1 365171 382
Accuracy
100.0%
Counts
1 382 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
▶53.7%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
3.5%
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
66.8%
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
25.1%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)
25.6%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
20.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
49.2%
(/.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 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))
26.5%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
▶15.7%
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
▶77.4%
(/.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))))
▶25.1%
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
29.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
49.7%
(*.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))))
23.1%
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha)) alpha)) alpha))
✓37.7%
#s(literal 1 binary64)
▶53.0%
#s(literal 1/2 binary64)
Compiler

Compiled 697 to 387 computations (44.5% saved)

simplify422.0ms (3.9%)

Memory
6.1MiB live, 540.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 beta beta)
✓cost-diff0
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
✓cost-diff128
(neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta))
✓cost-diff1216
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))
✓cost-diff0
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
✓cost-diff704
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))
✓cost-diff0
(+.f64 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓cost-diff1216
(/.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))))
Rules
11 970×lower-fma.f32
11 966×lower-fma.f64
3 512×lower-*.f32
3 506×lower-*.f64
3 138×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036303
066301
1117301
2255297
3696297
42170287
08352284
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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))))
#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)))
#s(literal 2 binary64)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 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 1/2 binary64)
(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 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+.f64 alpha #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))
beta
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))
#s(literal 3 binary64)
(*.f64 alpha alpha)
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
(*.f64 beta beta)
beta
(-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))
(neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta))
(/.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
alpha
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
Outputs
(/.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))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#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 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta 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 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(-.f64 beta alpha)
beta
alpha
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 alpha #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
alpha
(+.f64 alpha #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 beta (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 beta (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
beta
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))
#s(literal 3 binary64)
(*.f64 alpha alpha)
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
(/.f64 (-.f64 (fma.f64 beta (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) alpha)) alpha)
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
(-.f64 (fma.f64 beta (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) alpha))
(*.f64 beta beta)
beta
(-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))
(+.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) alpha))) beta) (/.f64 #s(literal -1 binary64) alpha))
(neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) alpha))) beta)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64))
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta))
(/.f64 #s(literal 3 binary64) alpha)
#s(literal 3 binary64)
alpha
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) alpha)

localize175.0ms (1.6%)

Memory
-28.4MiB live, 361.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy3.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)
✓accuracy2.7%
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64))
✓accuracy2.4%
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta))
✓accuracy2.3%
(-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))
✓accuracy4.3%
(*.f64 alpha alpha)
✓accuracy4.3%
(/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))
✓accuracy3.9%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy3.5%
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
✓accuracy6.7%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy3.9%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓accuracy3.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy8.5%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy6.7%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy3.9%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓accuracy3.8%
(-.f64 beta alpha)
Samples
49.0ms182×0valid
33.0ms49×1valid
18.0ms25×2valid
Compiler

Compiled 613 to 76 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 24.0ms (32.7% of total)
ival-add: 20.0ms (27.3% of total)
ival-sub: 10.0ms (13.6% of total)
ival-mult: 9.0ms (12.3% of total)
adjust: 8.0ms (10.9% of total)
ival-neg: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.7%)

Memory
26.3MiB live, 143.1MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#<alt (/.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))))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))>
#<alt (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))>
#<alt (+.f64 alpha #s(literal 2 binary64))>
#<alt (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))>
#<alt (-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))>
#<alt (/.f64 #s(literal 1 binary64) alpha)>
#<alt (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))>
#<alt (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta))>
#<alt (/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)>
#<alt (*.f64 beta beta)>
#<alt (-.f64 beta alpha)>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))>
#<alt (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))>
#<alt (*.f64 alpha alpha)>
#<alt (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))>
#<alt (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta))>
#<alt (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)>
Outputs
#<alt (* 1/2 (- 1 (/ 1 (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 3 alpha) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (+ 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))) (/ 1 (+ 2 beta))))>
#<alt (+ (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))))>
#<alt (+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))))))))>
#<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 (/ 2 (- 1 (/ 1 (+ 2 alpha))))>
#<alt (+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (- 1 (/ 1 (+ 2 alpha))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (pow (- 1 (/ 1 (+ 2 alpha))) 3))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))))) (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ 3 alpha) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 3 alpha) 2)) (* 1/2 (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 3 alpha) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 3 alpha) (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 3 alpha) (+ (* -1/4 (pow (+ 3 alpha) 2)) (* 1/2 (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* -1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
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#<alt (+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- 1 (* 3 (/ 1 alpha))) beta)>
#<alt (/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)>
#<alt (/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)>
#<alt (/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)>
#<alt (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (* -1 (/ (pow beta 7) (pow alpha 2)))>
#<alt (* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))>
#<alt (/ (pow beta 7) (pow alpha 2))>
#<alt (* -1 (* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (/ (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))) (pow alpha 2)))>
#<alt (/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))>
#<alt (/ (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))) alpha)>
#<alt (/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)>
#<alt (/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)>
#<alt (/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)>
#<alt (/ (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))) alpha)>
#<alt (* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))>
#<alt beta>
#<alt beta>
#<alt beta>
#<alt beta>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<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 (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt (/ 3 (pow alpha 2))>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha))>
#<alt (/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)>
#<alt (/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)>
#<alt (/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)>
#<alt (+ (/ 1 beta) (/ 1 (pow beta 4)))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (/ 1 beta) (/ 1 (pow beta 4)))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ (- (+ 1 (* (pow beta 3) (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))>
#<alt (/ -1 alpha)>
#<alt (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))>
#<alt (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))>
#<alt (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))>
#<alt (/ -1 alpha)>
#<alt (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))>
#<alt (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))>
#<alt (- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))>
#<alt (/ (+ 3 (* 2 (/ 1 beta))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)>
#<alt (/ -1 beta)>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (/ (- (* 2 (/ 1 alpha)) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)>
#<alt (/ 3 alpha)>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))>
#<alt (/ 3 alpha)>
#<alt (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))>
#<alt (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))>
#<alt (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))>
#<alt (/ (+ 3 (* 2 (/ 1 beta))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)>
#<alt (/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)>
#<alt (* -1 (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (* -1 (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (/ (- (* 2 (/ 1 alpha)) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)>
#<alt (/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)>
#<alt (- (* 3 (/ 1 alpha)) 1)>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))>
#<alt (- (* 3 (/ 1 alpha)) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)>
#<alt (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)>
#<alt (/ -2 (* alpha beta))>
#<alt (/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)>
#<alt (/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)>
#<alt (/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)>
#<alt (/ 1 beta)>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (/ 1 beta)>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) beta)>
Calls

111 calls:

TimeVariablePointExpression
12.0ms
alpha
@inf
(- (neg (/ (+ (- (/ 3 alpha) (/ (- 1 (/ 2 alpha)) beta)) -1) beta)) (/ 1 alpha))
3.0ms
beta
@0
(+ (* beta (- (/ 1 alpha) (/ 3 (* alpha alpha)))) (/ 1 alpha))
2.0ms
alpha
@inf
(* (* beta beta) (- (neg (/ (+ (- (/ 3 alpha) (/ (- 1 (/ 2 alpha)) beta)) -1) beta)) (/ 1 alpha)))
2.0ms
alpha
@-inf
(/ (* (* beta beta) (- (neg (/ (+ (- (/ 3 alpha) (/ (- 1 (/ 2 alpha)) beta)) -1) beta)) (/ 1 alpha))) alpha)
2.0ms
alpha
@0
(* (* beta beta) (- (neg (/ (+ (- (/ 3 alpha) (/ (- 1 (/ 2 alpha)) beta)) -1) beta)) (/ 1 alpha)))
Compiler

Compiled 2 021 to 1 231 computations (39.1% saved)

rewrite389.0ms (3.6%)

Memory
3.3MiB live, 666.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 970×lower-/.f32
4 946×lower-/.f64
3 318×lower-*.f32
3 312×lower-*.f64
2 666×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036246
066244
1331237
23350237
08741235
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 751
Calls
Call 1
Inputs
(/.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 2 binary64) (+.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 beta alpha) (+.f64 beta (+.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))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha #s(literal 2 binary64))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) alpha)
(*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha)))
(neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta))
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
(*.f64 beta beta)
(-.f64 beta alpha)
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))
(*.f64 alpha alpha)
(-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta))
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(neg.f64 (/.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 #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) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.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 (neg.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 beta alpha) (*.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 (+.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 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.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 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))
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simplify476.0ms (4.4%)

Memory
44.2MiB live, 875.9MiB allocated
Algorithm
1×egg-herbie
Rules
6 762×lower-fma.f64
6 762×lower-fma.f32
5 740×lower-+.f64
5 740×lower-+.f32
5 454×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09818181
131417824
083227631
Stop Event
1×iter limit
1×node limit
Counts
444 → 431
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ 1 (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))
1
(+ 1 (* -1/2 (/ (+ 3 alpha) beta)))
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1
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(* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))
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(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))
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1
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1
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(/ 2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))
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(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
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(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
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(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(- 1 (/ 1 (+ 2 alpha)))
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2
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2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/ (+ 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))
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(* -1 (/ alpha (+ 2 alpha)))
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1
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1
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(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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-1
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1/2
(+ 1/2 (* -1/4 alpha))
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(/ 1 alpha)
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(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
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1
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(- (* 2 (/ 1 alpha)) 1)
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(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
2
(+ 2 alpha)
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alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
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alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(/ 1 alpha)
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(* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 8)))))
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(* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 8)))))
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(/ (- (* -3 beta) 2) (pow alpha 5))
(/ (- (+ (* -3 beta) (* (pow alpha 4) (+ 1 beta))) 2) (pow alpha 5))
(/ (- (+ (* -3 beta) (* (pow alpha 4) (+ 1 beta))) 2) (pow alpha 5))
(/ (- (+ (* -3 beta) (* (pow alpha 4) (+ 1 beta))) 2) (pow alpha 5))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (* -3 (/ beta (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2)))) alpha)
(/ (- (+ 1 (+ beta (* -3 (/ beta (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2)))) alpha)
(/ (- (+ 1 (+ beta (* -3 (/ beta (pow alpha 2))))) (* 2 (/ 1 (pow alpha 2)))) alpha)
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(/ -3 (pow alpha 4))
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(/ (- (pow alpha 3) 3) (pow alpha 4))
(/ (- (pow alpha 3) 3) (pow alpha 4))
(/ 1 alpha)
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(/ (- 1 (* 3 (/ 1 alpha))) alpha)
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(/ 1 alpha)
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(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
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(- 1 (* 2 (/ 1 alpha)))
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(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 7) alpha))
(* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta))) (/ 1 alpha)))
(* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta))) (/ 1 alpha)))
(/ (pow beta 7) alpha)
(* -1 (* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))))
(* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))))
(* -1 (/ (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))) alpha))
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) alpha)
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) alpha)
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) alpha)
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))))
(* (pow beta 2) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 2)))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 2))))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 2))))))
(+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 2))))))
(* -1 (/ (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))) alpha))
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)
(+ (/ 1 beta) (/ 1 (pow beta 4)))
(+ (* -1 (/ (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (/ 1 beta) (/ 1 (pow beta 4)))
(+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ (* 3 (/ 1 beta)) (* 2 (/ 1 (pow beta 4)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(/ (- 1 (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- 1 (* 3 (/ 1 alpha))) beta)
(/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)
(/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)
(/ (- (+ 1 (/ 1 beta)) (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta)))) beta)
(* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta))
(* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))
(* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))
(* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta))
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 7) (pow alpha 2)))
(* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))
(* (pow beta 7) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))
(/ (pow beta 7) (pow alpha 2))
(* -1 (* (pow beta 7) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 7) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))))
(* -1 (/ (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))) (pow alpha 2)))
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))
(/ (+ (* -1 (* (pow beta 2) (+ 1 (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) (* alpha (* (pow beta 2) (+ (/ 1 beta) (/ 1 (pow beta 2)))))) (pow alpha 2))
(/ (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta))))) alpha)
(/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)
(/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)
(/ (+ (* -1 (/ (pow beta 2) alpha)) (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (* 2 (/ 1 (pow beta 2))) (* 3 (/ 1 beta)))))) alpha)
(/ (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))) alpha)
(* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))
(* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))
(* -1 (/ (+ (* -1 (* (pow beta 3) (+ (* 4 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) (/ (pow beta 3) alpha)) alpha))
beta
beta
beta
beta
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(* -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)))))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
(/ 3 (pow alpha 2))
alpha
alpha
alpha
alpha
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha))
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)
(/ (- (* alpha (+ (/ 1 beta) (/ 1 (pow beta 4)))) (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta))))) alpha)
(+ (/ 1 beta) (/ 1 (pow beta 4)))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (/ 1 beta) (/ 1 (pow beta 4)))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(+ (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow beta 4))) (* 3 (/ 1 beta)))) alpha)) (+ (/ 1 beta) (/ 1 (pow beta 4))))
(/ (- 1 (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ (- (+ 1 (* (pow beta 3) (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) (pow beta 4))
(/ -1 alpha)
(- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))
(- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))
(- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))
(/ -1 alpha)
(- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))
(- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))
(- (* -1 (/ (- (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* -1 (- (* 3 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))
(/ (+ 3 (* 2 (/ 1 beta))) alpha)
(/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)
(/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)
(/ (+ 3 (+ (* -1 (/ alpha beta)) (* 2 (/ 1 beta)))) alpha)
(/ -1 beta)
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(/ -1 beta)
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(/ (- (* 2 (/ 1 alpha)) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)
(/ 3 alpha)
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(/ 3 alpha)
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(/ (+ 3 (* 2 (/ 1 beta))) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(* -1 (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(* -1 (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(/ (- (* 2 (/ 1 alpha)) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(- (* 3 (/ 1 alpha)) 1)
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(- (* 3 (/ 1 alpha)) 1)
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(/ -2 (* alpha beta))
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/ 1 beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/ 1 beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
Outputs
(* 1/2 (- 1 (/ 1 (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ 1 (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* -1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))))))
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 (*.f64 #s(literal -1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ 1 (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))))))))))
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 3 alpha) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta)) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 3 alpha) beta)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 alpha #s(literal 3 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 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta)) (*.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)))) beta)) beta))
(* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(+ (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))))
(*.f64 #s(literal 1/2 binary64) (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 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* -1/2 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))))))
(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 #s(literal -2 binary64) beta)))) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (*.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 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))
(+ (* 1/2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))))))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
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(/ (+ (* 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)
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(/ (+ (* 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)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.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 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(/ 2 (- 1 (/ 1 (+ 2 alpha))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))
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(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))) (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (- 1 (/ 1 (+ 2 alpha))))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3)))) (pow (- 1 (/ 1 (+ 2 alpha))) 3))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))))) (+ (* -2 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (pow (+ 2 alpha) 3))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))) (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ 1 (+ 2 alpha))) 3)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ 1 (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ 1 (+ 2 alpha))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (+ 3 alpha) beta)))
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(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 3 alpha) 2)) (* 1/2 (- (+ 2 alpha) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 3 alpha) beta)))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 #s(literal 2 binary64) alpha)) beta) #s(literal 1 binary64))
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(/ 2 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))
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(+ (* -2 (/ (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))) (* 2 (/ 1 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))))
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(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 3)))))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))))) (* 2 (/ 1 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 3)))) (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))) (+ (* 2 (/ (* (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))) (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))))))) (+ (* -2 (/ (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))) (* -2 (/ (pow (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 3)))))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (pow (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))) 2))))) (* 2 (/ 1 (- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta))))))
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(+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))))) (/.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 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))) (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.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 #s(literal -2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))) (/.f64 (*.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 #s(literal -2 binary64) beta)))) (+.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 #s(literal -2 binary64) beta))))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))))))) (*.f64 #s(literal -2 binary64) (/.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 #s(literal -2 binary64) beta)))) (*.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))))))) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 #s(literal 2 binary64) (/.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(*.f64 alpha (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 (*.f64 alpha alpha))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(*.f64 alpha (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (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)))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (*.f64 (*.f64 alpha alpha) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(/.f64 (*.f64 #s(literal -2 binary64) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(neg.f64 (*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 3 alpha) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))
(- (+ 2 (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(- (+ 1 (/ beta (+ 2 beta))) (/ 1 (+ 2 beta)))
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(- (+ 1 (+ (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))
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(- (+ 1 (+ (* alpha (- (+ (* -1 (* alpha (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))
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(- (+ 1 (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))) (+ (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (pow (+ 2 beta) 2))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (/ 1 (+ 2 beta)))
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(/ (+ 2 (* 2 beta)) alpha)
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(* -1 (/ alpha (+ 2 alpha)))
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(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
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(+ (* -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))))))
(-.f64 (*.f64 beta (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (neg.f64 alpha) #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 3 binary64) (/.f64 beta alpha) #s(literal -1 binary64))) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 3 binary64) (/.f64 beta alpha) #s(literal -1 binary64))) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) beta)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 #s(literal 3 binary64) (/.f64 beta alpha) #s(literal -1 binary64))) beta)
(/ 3 alpha)
(/.f64 #s(literal 3 binary64) alpha)
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta))
(/ 3 alpha)
(/.f64 #s(literal 3 binary64) alpha)
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta))
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta))
(+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha)))
(-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta))
(/ (+ 3 (* 2 (/ 1 beta))) alpha)
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) beta)) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ 3 (+ (* -1 (* alpha (+ 1 (/ 1 beta)))) (* 2 (/ 1 beta)))) alpha)
(/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal 2 binary64) beta))) alpha)
(* -1 (+ 1 (/ 1 beta)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(* -1 (+ 1 (/ 1 beta)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(/ (- (* 2 (/ 1 alpha)) 1) beta)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(/.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(/.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))) beta)
(/ (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) beta)
(/.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))) beta)
(- (* 3 (/ 1 alpha)) 1)
(+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (+ (* 3 (/ 1 alpha)) (/ 2 (* alpha beta))) (+ 1 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 3 binary64) alpha) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) beta) #s(literal 1 binary64)))
(- (* 3 (/ 1 alpha)) 1)
(+.f64 (/.f64 #s(literal 3 binary64) alpha) #s(literal -1 binary64))
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64))
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64))
(- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1)
(+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64))
(/ -2 (* alpha beta))
(/.f64 #s(literal -2 binary64) (*.f64 alpha beta))
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal -2 binary64) beta)) alpha)
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal -2 binary64) beta)) alpha)
(/ (- (/ alpha beta) (* 2 (/ 1 beta))) alpha)
(/.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal -2 binary64) beta)) alpha)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(- (/ 1 beta) (* 2 (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)
(/ (- 1 (* 2 (/ 1 alpha))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)

eval252.0ms (2.3%)

Memory
11.5MiB live, 450.4MiB allocated
Compiler

Compiled 41 642 to 4 711 computations (88.7% saved)

prune185.0ms (1.7%)

Memory
6.1MiB live, 403.8MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 277121 289
Fresh7411
Picked325
Done011
Total1 287191 306
Accuracy
100.0%
Counts
1 306 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(fma.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)) #s(literal 1/2 binary64))
75.9%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
51.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
52.1%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
51.2%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓53.7%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶3.5%
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
▶20.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
20.6%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (neg.f64 alpha)) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
21.7%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
26.5%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
16.0%
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
53.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) #s(literal -2 binary64))) #s(literal 1 binary64))))
▶86.1%
(/.f64 #s(literal 1 binary64) (*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
21.9%
(/.f64 #s(literal 1 binary64) alpha)
▶25.3%
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
▶29.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
✓37.7%
#s(literal 1 binary64)
✓53.0%
#s(literal 1/2 binary64)
Compiler

Compiled 428 to 298 computations (30.4% saved)

simplify330.0ms (3%)

Memory
-63.6MiB live, 434.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
✓cost-diff896
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))
✓cost-diff0
(/.f64 #s(literal 2 binary64) alpha)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓cost-diff0
(/.f64 #s(literal 3/2 binary64) beta)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
✓cost-diff384
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
✓cost-diff192
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
✓cost-diff192
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
✓cost-diff320
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓cost-diff512
(*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
Rules
7 238×lower-fma.f32
7 232×lower-fma.f64
5 360×lower-*.f32
5 350×lower-*.f64
2 876×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031239
059237
1113235
2326233
31321218
47256218
08014200
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
alpha
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) beta)
(*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 3/2 binary64) beta)
#s(literal 3/2 binary64)
beta
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
alpha
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))
beta
(/.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
#s(literal 2 binary64)
(*.f64 alpha alpha)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
#s(literal 1 binary64)
(*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
alpha
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 alpha beta alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)))
#s(literal -2 binary64)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 alpha beta alpha)))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))
(+.f64 #s(literal 2 binary64) beta)
#s(literal 2 binary64)
beta
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
(-.f64 #s(literal -2 binary64) (+.f64 beta beta))
(-.f64 #s(literal -2 binary64) beta)
(*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 alpha beta alpha))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(*.f64 (fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))
(+.f64 beta (+.f64 #s(literal 2 binary64) beta))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/2 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 3/2 binary64) beta)
#s(literal 3/2 binary64)
beta
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
alpha
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
beta
(/.f64 #s(literal 1 binary64) alpha)
#s(literal 1 binary64)
alpha
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
#s(literal 2 binary64)
(*.f64 alpha alpha)

localize109.0ms (1%)

Memory
-9.3MiB live, 232.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy5.3%
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
✓accuracy4.7%
(*.f64 alpha alpha)
✓accuracy2.9%
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
✓accuracy2.5%
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))
✓accuracy8.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
✓accuracy3.7%
(/.f64 #s(literal 2 binary64) alpha)
✓accuracy2.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓accuracy34.9%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
✓accuracy2.7%
(/.f64 #s(literal 3/2 binary64) beta)
✓accuracy3.5%
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
✓accuracy4.1%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
✓accuracy3.1%
(*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
✓accuracy1.8%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy1.6%
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
Samples
56.0ms255×0valid
0.0ms1×1exit
Compiler

Compiled 511 to 68 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 13.0ms (32.7% of total)
ival-mult: 13.0ms (32.7% of total)
ival-sub: 7.0ms (17.6% of total)
ival-add: 6.0ms (15.1% of total)
exact: 1.0ms (2.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
27.4MiB live, 100.3MiB allocated
Counts
19 → 288
Calls
Call 1
Inputs
#<alt (*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))>
#<alt (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))>
#<alt (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))>
#<alt (/.f64 #s(literal 3/2 binary64) beta)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))>
#<alt (/.f64 #s(literal 2 binary64) alpha)>
#<alt (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))>
#<alt (-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))>
#<alt (/.f64 #s(literal 1 binary64) alpha)>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))>
#<alt (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))>
#<alt (+.f64 #s(literal 2 binary64) beta)>
#<alt (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))>
#<alt (*.f64 alpha alpha)>
Outputs
#<alt (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))>
#<alt (/ (* alpha (+ 1 (* 1/2 (/ 1 alpha)))) beta)>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (/ alpha beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (* -1 (/ (+ (* -1 alpha) (* -1 (/ (* alpha (- (* 1/2 (/ 1 alpha)) 1)) beta))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (/ (* alpha (- (/ 1 alpha) 1)) beta)) (* alpha (- (* 1/2 (/ 1 alpha)) 1))) beta))) beta))) beta))>
#<alt (+ 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ (+ 1 (* 1/2 (/ 1 alpha))) beta)>
#<alt (* -1 (/ (- (/ 1 beta) (+ 1 (* 1/2 (/ 1 alpha)))) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 alpha)) 1) beta)) 1) beta)) (+ 1 (* 1/2 (/ 1 alpha)))) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) 1) beta)) (* 1/2 (/ 1 alpha))) 1) beta)) 1) beta)) (+ 1 (* 1/2 (/ 1 alpha)))) beta))>
#<alt (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<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 1/2>
#<alt (+ 1/2 (* -1/2 beta))>
#<alt (+ 1/2 (* beta (- (* 1/2 beta) 1/2)))>
#<alt (+ 1/2 (* beta (- (* beta (+ 1/2 (* -1/2 beta))) 1/2)))>
#<alt (/ 1/2 beta)>
#<alt (/ (- 1/2 (* 1/2 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1/2 (/ 1/2 (pow beta 2))) (* 1/2 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1/2 (/ 1/2 (pow beta 2))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1/2 beta)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta)) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta)) 1/2) beta)) 1/2) beta))>
#<alt (/ -3/2 beta)>
#<alt (/ (- beta 3/2) beta)>
#<alt (/ (- beta 3/2) beta)>
#<alt (/ (- beta 3/2) beta)>
#<alt 1>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt 1>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt (- 1 (* 3/2 (/ 1 beta)))>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 1 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ 3/2 beta)>
#<alt (/ -2 (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (/ -2 alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<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 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6))))>
#<alt (- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))>
#<alt (- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))>
#<alt (- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))>
#<alt (/ beta alpha)>
#<alt (* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))>
#<alt (* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))>
#<alt (* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))>
#<alt (/ -2 (pow alpha 6))>
#<alt (/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))>
#<alt (/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))>
#<alt (/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)>
#<alt (/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)>
#<alt (/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))>
#<alt (* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))>
#<alt (* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ 2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt -4>
#<alt (- (* -6 beta) 4)>
#<alt (- (* beta (- (* -2 beta) 6)) 4)>
#<alt (- (* beta (- (* -2 beta) 6)) 4)>
#<alt (* -2 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* -2 (pow beta 2))>
#<alt (* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))>
#<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 (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 3))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 3))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 3))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 3))>
#<alt (* 4 alpha)>
#<alt (+ (* 4 alpha) (* 8 (* alpha beta)))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (/ -1 alpha)>
#<alt (- (* 1/2 (/ beta alpha)) (/ 1 alpha))>
#<alt (- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))>
#<alt (- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))>
#<alt (/ -1/2 alpha)>
#<alt (* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt (* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt alpha>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
Calls

72 calls:

TimeVariablePointExpression
14.0ms
beta
@0
(* alpha (+ (* -2 (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2))))
6.0ms
alpha
@0
(* alpha (+ (* -2 (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2))))
2.0ms
alpha
@0
(+ (* beta (/ 1 alpha)) (/ 1 alpha))
1.0ms
alpha
@-inf
(* alpha (+ (* -2 (/ (* (+ 2 beta) (- (- -2 beta) beta)) (* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2))))) (/ 2 (+ (* 2 beta) 2))))
1.0ms
alpha
@-inf
(* alpha (* (+ (* 2 beta) 2) (+ (* 2 beta) 2)))
Compiler

Compiled 944 to 571 computations (39.5% saved)

rewrite405.0ms (3.7%)

Memory
-26.8MiB live, 539.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 100×lower-/.f32
5 086×lower-/.f64
3 720×lower-*.f32
3 710×lower-*.f64
2 546×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030176
057157
1259155
22630153
08107153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 763
Calls
Call 1
Inputs
(*.f64 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 3/2 binary64) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(/.f64 #s(literal 2 binary64) alpha)
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha))
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(+.f64 #s(literal 2 binary64) beta)
(*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)))))
(*.f64 alpha alpha)
Outputs
(+.f64 (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 alpha (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 alpha (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) alpha) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) alpha) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) alpha) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) alpha (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 alpha #s(literal 1/2 binary64)) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (*.f64 alpha (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))))) #s(literal -2 binary64) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha) (/.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 alpha alpha) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 beta beta) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 beta beta) #s(literal -4 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal -2 binary64)))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha alpha) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) #s(literal 2 binary64) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 alpha (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 alpha (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 1 binary64))) (*.f64 alpha #s(literal 1/2 binary64)) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha (*.f64 (+.f64 beta (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 alpha (fma.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 beta beta) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))) (/.f64 (*.f64 alpha (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 alpha)) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (neg.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))) (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (neg.f64 alpha)) (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (neg.f64 alpha)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) alpha))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (neg.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))) (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (neg.f64 alpha)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (*.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta beta)))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 alpha) #s(literal 2 binary64)))
(pow.f64 alpha #s(literal 2 binary64))
(pow.f64 (*.f64 alpha alpha) #s(literal 1 binary64))
(pow.f64 (neg.f64 alpha) #s(literal 2 binary64))
(*.f64 alpha alpha)
(*.f64 (*.f64 alpha alpha) #s(literal 1 binary64))
(*.f64 (neg.f64 alpha) (neg.f64 alpha))

simplify459.0ms (4.2%)

Memory
18.4MiB live, 879.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 722×lower-fma.f64
16 722×lower-fma.f32
5 638×lower-*.f64
5 638×lower-*.f32
4 252×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03342541
110242413
228652273
084232159
Stop Event
1×iter limit
1×node limit
Counts
288 → 282
Calls
Call 1
Inputs
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* -2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
(/ (* alpha (+ 1 (* 1/2 (/ 1 alpha)))) beta)
(* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (/ alpha beta)) beta))
(* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (* -1 (/ (+ (* -1 alpha) (* -1 (/ (* alpha (- (* 1/2 (/ 1 alpha)) 1)) beta))) beta))) beta))
(* -1 (/ (+ (* -1 (* alpha (+ 1 (* 1/2 (/ 1 alpha))))) (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* -1 (/ (* alpha (- (/ 1 alpha) 1)) beta)) (* alpha (- (* 1/2 (/ 1 alpha)) 1))) beta))) beta))) beta))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ (+ 1 (* 1/2 (/ 1 alpha))) beta)
(* -1 (/ (- (/ 1 beta) (+ 1 (* 1/2 (/ 1 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 alpha)) 1) beta)) 1) beta)) (+ 1 (* 1/2 (/ 1 alpha)))) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) 1) beta)) (* 1/2 (/ 1 alpha))) 1) beta)) 1) beta)) (+ 1 (* 1/2 (/ 1 alpha)))) beta))
(* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ (+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))) alpha)
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(/ 2 (+ 2 (* 2 beta)))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
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))))
1/2
(+ 1/2 (* -1/2 beta))
(+ 1/2 (* beta (- (* 1/2 beta) 1/2)))
(+ 1/2 (* beta (- (* beta (+ 1/2 (* -1/2 beta))) 1/2)))
(/ 1/2 beta)
(/ (- 1/2 (* 1/2 (/ 1 beta))) beta)
(/ (- (+ 1/2 (/ 1/2 (pow beta 2))) (* 1/2 (/ 1 beta))) beta)
(/ (- (+ 1/2 (/ 1/2 (pow beta 2))) (+ (* 1/2 (/ 1 beta)) (* 1/2 (/ 1 (pow beta 3))))) beta)
(/ 1/2 beta)
(* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 beta)) 1/2) beta)) 1/2) beta)) 1/2) beta))
(/ -3/2 beta)
(/ (- beta 3/2) beta)
(/ (- beta 3/2) beta)
(/ (- beta 3/2) beta)
1
(- 1 (* 3/2 (/ 1 beta)))
(- 1 (* 3/2 (/ 1 beta)))
(- 1 (* 3/2 (/ 1 beta)))
1
(- 1 (* 3/2 (/ 1 beta)))
(- 1 (* 3/2 (/ 1 beta)))
(- 1 (* 3/2 (/ 1 beta)))
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ 3/2 beta)
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/ -2 alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 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 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6))))
(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(/ beta alpha)
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(/ beta alpha)
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(/ -2 (pow alpha 6))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
-4
(- (* -6 beta) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(- (* beta (- (* -2 beta) 6)) 4)
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* -2 (pow beta 2))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
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))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(* 4 alpha)
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(/ -1 alpha)
(- (* 1/2 (/ beta alpha)) (/ 1 alpha))
(- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))
(- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))
(/ -1/2 alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
alpha
alpha
alpha
alpha
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
Outputs
(* 2 (/ (+ 2 beta) (+ 2 (* 2 beta))))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(+ (* 2 (/ alpha (+ 2 (* 2 beta)))) (* 2 (/ (+ 2 beta) (+ 2 (* 2 beta)))))
(fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(*.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(fma.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)))
(* alpha (+ (* 2 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta))))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
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(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -2 binary64) (pow.f64 alpha #s(literal 6 binary64))))
(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -2 binary64) (pow.f64 alpha #s(literal 6 binary64))))
(- (+ (/ 1 alpha) (/ beta alpha)) (* 2 (/ 1 (pow alpha 6))))
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -2 binary64) (pow.f64 alpha #s(literal 6 binary64))))
(/ beta alpha)
(/.f64 beta alpha)
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(fma.f64 beta (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 7 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)))
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(fma.f64 beta (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 7 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)))
(* beta (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 2 (* (pow alpha 7) beta))))
(fma.f64 beta (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 7 binary64)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)))
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 6 binary64))))) (/.f64 beta alpha))
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 6 binary64))))) (/.f64 beta alpha))
(* -1 (* beta (- (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 6)))) beta)) (/ 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (/.f64 #s(literal -2 binary64) (*.f64 beta (pow.f64 alpha #s(literal 6 binary64))))) (/.f64 beta alpha))
(/ -2 (pow alpha 6))
(/.f64 #s(literal -2 binary64) (pow.f64 alpha #s(literal 6 binary64)))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (pow.f64 alpha #s(literal 5 binary64)) #s(literal -2 binary64)) (pow.f64 alpha #s(literal 6 binary64)))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (pow.f64 alpha #s(literal 5 binary64)) #s(literal -2 binary64)) (pow.f64 alpha #s(literal 6 binary64)))
(/ (- (* (pow alpha 5) (+ 1 beta)) 2) (pow alpha 6))
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (pow.f64 alpha #s(literal 5 binary64)) #s(literal -2 binary64)) (pow.f64 alpha #s(literal 6 binary64)))
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 alpha (*.f64 alpha alpha)))) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 alpha (*.f64 alpha alpha)))) alpha)
(/ (- (+ 1 beta) (* 2 (/ 1 (pow alpha 3)))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 alpha (*.f64 alpha alpha)))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 alpha #s(literal 6 binary64)))) alpha)
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 alpha #s(literal 6 binary64)))) alpha)
(* -1 (/ (- (* -1 beta) (+ 1 (* 2 (/ 1 (pow alpha 6))))) alpha))
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 alpha #s(literal 6 binary64)))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
-4
#s(literal -4 binary64)
(- (* -6 beta) 4)
(fma.f64 beta #s(literal -6 binary64) #s(literal -4 binary64))
(- (* beta (- (* -2 beta) 6)) 4)
(fma.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)) #s(literal -4 binary64))
(- (* beta (- (* -2 beta) 6)) 4)
(fma.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)) #s(literal -4 binary64))
(* -2 (pow beta 2))
(*.f64 #s(literal -2 binary64) (*.f64 beta beta))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(*.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(*.f64 beta (*.f64 beta (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(*.f64 beta (*.f64 beta (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))))
(* -2 (pow beta 2))
(*.f64 #s(literal -2 binary64) (*.f64 beta beta))
(* -1 (* (pow beta 2) (+ 2 (* 6 (/ 1 beta)))))
(*.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(*.f64 beta (*.f64 beta (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))))
(* (pow beta 2) (- (* -1 (/ (+ 6 (* 4 (/ 1 beta))) beta)) 2))
(*.f64 beta (*.f64 beta (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64))))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)))))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)))))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)))))
(* alpha (pow (+ 2 (* 2 beta)) 3))
(*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 alpha (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 4 binary64)))))
(* 4 alpha)
(*.f64 alpha #s(literal 4 binary64))
(+ (* 4 alpha) (* 8 (* alpha beta)))
(*.f64 alpha (fma.f64 beta #s(literal 8 binary64) #s(literal 4 binary64)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(fma.f64 beta (*.f64 alpha (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64))) (*.f64 alpha #s(literal 4 binary64)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(fma.f64 beta (*.f64 alpha (fma.f64 beta #s(literal 4 binary64) #s(literal 8 binary64))) (*.f64 alpha #s(literal 4 binary64)))
(* 4 (* alpha (pow beta 2)))
(*.f64 alpha (*.f64 #s(literal 4 binary64) (*.f64 beta beta)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (fma.f64 alpha #s(literal 4 binary64) (*.f64 (/.f64 alpha beta) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) beta)))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (fma.f64 alpha #s(literal 4 binary64) (*.f64 (/.f64 alpha beta) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) beta)))))
(* 4 (* alpha (pow beta 2)))
(*.f64 alpha (*.f64 #s(literal 4 binary64) (*.f64 beta beta)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(*.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(*.f64 (*.f64 beta beta) (fma.f64 alpha #s(literal 4 binary64) (/.f64 (fma.f64 alpha #s(literal 8 binary64) (/.f64 (*.f64 alpha #s(literal 4 binary64)) beta)) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(*.f64 (*.f64 beta beta) (fma.f64 alpha #s(literal 4 binary64) (/.f64 (fma.f64 alpha #s(literal 8 binary64) (/.f64 (*.f64 alpha #s(literal 4 binary64)) beta)) beta)))
(/ -1 alpha)
(/.f64 #s(literal -1 binary64) alpha)
(- (* 1/2 (/ beta alpha)) (/ 1 alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal -1 binary64)))
(- (* beta (+ (* -1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(fma.f64 (/.f64 beta alpha) (fma.f64 beta #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(- (* beta (+ (* beta (- (* 1/2 (/ beta alpha)) (* 1/2 (/ 1 alpha)))) (* 1/2 (/ 1 alpha)))) (/ 1 alpha))
(fma.f64 (*.f64 beta beta) (*.f64 (/.f64 #s(literal 1/2 binary64) alpha) (+.f64 beta #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 #s(literal -1/2 binary64) (*.f64 beta alpha)))
(- (/ 1/2 (* alpha (pow beta 2))) (+ (/ 1/2 (* alpha beta)) (* 1/2 (/ 1 alpha))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(- (* 1/2 (/ 1 (* alpha (pow beta 2)))) (+ (/ 1/2 (* alpha beta)) (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha (pow beta 3)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) beta)) (+.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 #s(literal -1/2 binary64) (*.f64 beta (*.f64 beta (*.f64 beta alpha))))))
(/ -1/2 alpha)
(/.f64 #s(literal -1/2 binary64) alpha)
(* -1 (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))))
(+.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 #s(literal -1/2 binary64) (*.f64 beta alpha)))
(- (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) beta)) (/.f64 #s(literal -1/2 binary64) alpha))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 (* alpha beta)))) beta)) (* 1/2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))
(-.f64 (/.f64 #s(literal -1/2 binary64) alpha) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) alpha) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta alpha)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) beta)))) beta))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
(* -1 (/ (+ 2 beta) (* alpha (+ 2 (* 2 beta)))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 #s(literal 2 binary64) (fma.f64 beta alpha alpha)))
alpha
alpha
alpha
alpha
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)

eval217.0ms (2%)

Memory
5.7MiB live, 305.2MiB allocated
Compiler

Compiled 31 153 to 3 421 computations (89% saved)

prune139.0ms (1.3%)

Memory
17.2MiB live, 319.0MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 06561 071
Fresh6511
Picked415
Done033
Total1 075151 090
Accuracy
100.0%
Counts
1 090 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.9%
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
52.1%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
51.2%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
✓53.7%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
8.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (*.f64 alpha alpha)))
✓20.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
26.5%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
8.7%
(/.f64 beta alpha)
71.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
21.9%
(/.f64 #s(literal 1 binary64) alpha)
29.7%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
25.3%
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 beta alpha))
✓37.7%
#s(literal 1 binary64)
✓53.0%
#s(literal 1/2 binary64)
3.5%
#s(literal 0 binary64)
Compiler

Compiled 779 to 282 computations (63.8% saved)

regimes67.0ms (0.6%)

Memory
-10.1MiB live, 144.5MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) 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))
(fma.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 beta alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (*.f64 alpha alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 (neg.f64 alpha) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(/.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 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(-.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (neg.f64 alpha)) #s(literal -2 binary64)) (neg.f64 alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
(-.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.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 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #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)))) #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 (+.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 alpha (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 alpha (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 beta beta) (-.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)) #s(literal -1 binary64)) beta)) (/.f64 #s(literal 1 binary64) alpha))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha)) alpha)) alpha))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 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))) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal 1 binary64)) beta) alpha)
Outputs
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 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

5 calls:

15.0ms
alpha
13.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
12.0ms
beta
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.8%2alpha
99.0%2beta
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 45 to 30 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
10.3MiB live, 48.6MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) 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))
(fma.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
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:

7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes29.0ms (0.3%)

Memory
-21.4MiB live, 58.6MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #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 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

9.0ms
beta
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.8%2beta
98.5%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.5%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.5%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes19.0ms (0.2%)

Memory
1.4MiB live, 39.0MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -3/2 binary64)) beta))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Calls

3 calls:

8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.3%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.3%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.3%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory
10.9MiB live, 48.4MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Calls

5 calls:

6.0ms
alpha
4.0ms
beta
4.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.3%2beta
73.6%2alpha
94.3%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
94.3%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
94.3%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory
-5.7MiB live, 31.0MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) beta))
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))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Calls

4 calls:

29.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
4.0ms
beta
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
75.2%2beta
93.4%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.4%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.4%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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 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))
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
93.3%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.3%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.3%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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))
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
93.2%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
93.2%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
93.2%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes42.0ms (0.4%)

Memory
-42.1MiB live, 15.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 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

4 calls:

34.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
beta
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
75.2%2beta
75.2%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.2%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
75.2%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB 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
alpha
2.0ms
beta
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
53.0%1alpha
53.0%1beta
53.0%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
53.0%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
53.0%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB 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
beta
1.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
1.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
1.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
3.5%1alpha
3.5%1beta
3.5%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.5%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
3.5%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
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999382317
-0.9999962121168327
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999382317
-0.9999962121168327
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9998626123577303
-0.01595263289222463
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
0.0ms
-1.0
-0.9999999999999998
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch29.0ms (0.3%)

Memory
-36.8MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
0.0ms
-0.9998626123577303
-0.01595263289222463
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
0.0ms
-0.9998626123577303
-0.01595263289222463
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
0.0ms
-0.9998626123577303
-0.01595263289222463
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.10524195283411962
0.9999999999999922
Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify10.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
1×egg-herbie
Rules
30×+-commutative_binary64
18×sub-neg_binary64
12×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054272
169272
285272
397272
4108272
5110272
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 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 -9007181240342483/9007199254740992 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 -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 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 -9007181240342483/9007199254740992 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (/.f64 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 -9007181240342483/9007199254740992 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 -9007181240342483/9007199254740992 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 -1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 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 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
(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 3602879701896397/18014398509481984 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) alpha) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.5s (13.5%)

Memory
2.3MiB live, 1 363.3MiB allocated
Rules
16 722×lower-fma.f64
16 722×lower-fma.f32
9 196×lower-fma.f64
9 196×lower-fma.f32
6 762×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09818181
131417824
083227631
04362428
114002275
246692093
088161984
01041
01641
19141
274841
0905740
030176
057157
1259155
22630153
08107153
03342541
110242413
228652273
084232159
0159618626
1529718184
0835416858
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 669 to 349 computations (47.8% saved)

preprocess110.0ms (1%)

Memory
-5.0MiB live, 113.9MiB allocated
Compiler

Compiled 578 to 126 computations (78.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...