Octave 3.8, jcobi/1

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%56.2%43.8%0%0%0%0
0%0%56.2%43.8%0%0%0%1
50%28.1%28.1%43.8%0%0%0%2
75%42.1%14%43.8%0%0%0%3
87.5%49.2%7%43.8%0%0%0%4
93.8%52.7%3.5%43.8%0%0%0%5
96.9%54.4%1.8%43.8%0%0%0%6
98.4%55.3%0.9%43.8%0%0%0%7
99.2%55.7%0.4%43.8%0%0%0%8
99.6%56%0.2%43.8%0%0%0%9
99.8%56.1%0.1%43.8%0%0%0%10
99.9%56.1%0.1%43.8%0%0%0%11
100%56.1%0%43.8%0%0%0%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.5s (18.3%)

Memory
17.3MiB live, 1 967.6MiB allocated
Samples
515.0ms6 096×0valid
319.0ms1 429×1valid
244.0ms731×2valid
Precisions
Click to see histograms. Total time spent on operations: 730.0ms
ival-div: 213.0ms (29.2% of total)
ival-add: 209.0ms (28.6% of total)
adjust: 132.0ms (18.1% of total)
ival-sub: 103.0ms (14.1% of total)
ival->: 42.0ms (5.8% of total)
exact: 16.0ms (2.2% of total)
ival-and: 12.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain249.0ms (3%)

Memory
3.7MiB live, 322.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
780-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-beta
00-0-(+.f64 alpha beta)
00-0-#s(literal 1 binary64)
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-alpha
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-(-.f64 beta alpha)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation780
Confusion
Predicted +Predicted -
+780
-0178
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7800
-00178
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0178
178
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms364×0valid
41.0ms108×1valid
9.0ms40×2valid
Compiler

Compiled 209 to 67 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-add: 39.0ms (46.8% of total)
ival-div: 34.0ms (40.8% of total)
adjust: 5.0ms (6% of total)
ival-sub: 4.0ms (4.8% of total)
ival-true: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess341.0ms (4.1%)

Memory
16.3MiB live, 119.7MiB allocated
Algorithm
egg-herbie
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
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal 1/2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify124.0ms (1.5%)

Memory
14.5MiB live, 66.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff512
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

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

localize78.0ms (1%)

Memory
-24.3MiB live, 51.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 alpha beta)
accuracy0.00390625
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0.0234375
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy17.607759708564778
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
27.0ms182×0valid
8.0ms54×1valid
4.0ms20×2valid
Compiler

Compiled 98 to 22 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 20.0ms (67.6% of total)
ival-div: 4.0ms (13.5% of total)
adjust: 2.0ms (6.8% of total)
ival-sub: 2.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-1.1MiB live, 35.0MiB allocated
Counts
6 → 87
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Calls

6 calls:

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

simplify230.0ms (2.8%)

Memory
-3.3MiB live, 223.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332206
113942067
245691878
086511750
Stop Event
iter limit
node limit
Counts
87 → 85
Calls
Call 1
Inputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
beta
(+ beta (* -1 alpha))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (/ beta alpha)))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(- beta alpha)
(+ 2 alpha)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (/ alpha beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
Outputs
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64)))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) alpha (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 beta #s(literal -2 binary64))))) alpha (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(-.f64 (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64)))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (+.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1 binary64)))
(/ beta (+ 2 beta))
(/.f64 beta (-.f64 beta #s(literal -2 binary64)))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha (/.f64 alpha (-.f64 beta #s(literal -2 binary64)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 beta #s(literal -2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal -2 binary64)))) (-.f64 beta #s(literal -2 binary64))) (fma.f64 (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64))))) alpha (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 beta #s(literal -2 binary64))) (/.f64 beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))) alpha (/.f64 beta (-.f64 beta #s(literal -2 binary64))))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ 2 beta)
(-.f64 beta #s(literal -2 binary64))
(+ 2 (+ alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+ alpha beta)
(+.f64 alpha beta)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 3 binary64)) beta (*.f64 (/.f64 beta alpha) (-.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))))) alpha)
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (fma.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(-.f64 (fma.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 beta alpha)) alpha alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) #s(literal -1/2 binary64)) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) (*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) beta (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) alpha) #s(literal 1/2 binary64))) (neg.f64 alpha))) (neg.f64 alpha))) (neg.f64 alpha))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (+.f64 (-.f64 beta #s(literal -2 binary64)) beta) alpha)
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta))) alpha)
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 3 binary64)) alpha) beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) alpha) (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 beta)) alpha))
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 (-.f64 (/.f64 beta alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha) #s(literal 1 binary64)) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 (/.f64 beta alpha) alpha alpha)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 (fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))) #s(literal 1/2 binary64))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))))) beta (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) beta (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))))) beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))) beta (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(- beta alpha)
(-.f64 beta alpha)
(+ 2 alpha)
(+.f64 #s(literal 2 binary64) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (pow.f64 beta #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta) #s(literal -1/2 binary64) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64)) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 beta #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal 3 binary64))))
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (pow.f64 beta #s(literal 3 binary64))) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 beta))) #s(literal 1 binary64))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 alpha beta)) beta beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 (/.f64 alpha beta) beta beta)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 beta))) beta))
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 2 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) beta) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) #s(literal 1 binary64))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta)
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(fma.f64 (/.f64 (neg.f64 alpha) beta) (neg.f64 beta) beta)

rewrite185.0ms (2.3%)

Memory
15.4MiB live, 204.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
01644
19144
274844
0905743
Stop Event
iter limit
node limit
iter limit
Counts
6 → 458
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(-.f64 beta alpha)
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (fma.f64 beta beta #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta #s(literal 2 binary64))) alpha)
(fma.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) alpha)
(fma.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) (+.f64 #s(literal 2 binary64) beta))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))) #s(literal 2 binary64))
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 alpha beta) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 #s(literal 2 binary64) beta))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 #s(literal 2 binary64) beta))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha (neg.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -2 binary64))))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 alpha beta) (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 (-.f64 beta alpha) (pow.f64 (fma.f64 alpha (+.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 beta alpha) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))))
(*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))))
(*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 alpha beta))
(pow.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (neg.f64 alpha) #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (fma.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (*.f64 (-.f64 alpha beta) (*.f64 beta beta))) (pow.f64 (-.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 alpha beta))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))))
(/.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta beta (fma.f64 alpha alpha (*.f64 (neg.f64 beta) alpha))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 alpha beta) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 alpha beta)))
(fma.f64 #s(literal -1 binary64) (neg.f64 alpha) beta)
(fma.f64 (*.f64 alpha alpha) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(fma.f64 #s(literal 1 binary64) alpha beta)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 beta alpha)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(-.f64 beta (neg.f64 alpha))
(+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (neg.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(+.f64 alpha beta)
(+.f64 beta alpha)

eval80.0ms (1%)

Memory
-24.9MiB live, 129.8MiB allocated
Compiler

Compiled 16 169 to 2 376 computations (85.3% saved)

prune20.0ms (0.2%)

Memory
6.0MiB live, 44.5MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New52017537
Fresh000
Picked101
Done000
Total52117538
Accuracy
99.9%
Counts
538 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.2%
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
71.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))) #s(literal 2 binary64))
72.3%
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
43.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
73.4%
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
72.3%
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)))))
72.0%
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.4%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.3%
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))))))
32.6%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
69.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
29.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
30.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
31.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
45.1%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
39.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 938 to 540 computations (42.4% saved)

simplify144.0ms (1.8%)

Memory
27.8MiB live, 109.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
cost-diff384
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
cost-diff512
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff1024
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
cost-diff0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
cost-diff0
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff384
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff512
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff1088
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044419
074407
1134407
2242407
3589405
42003383
56947383
08086376
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
#s(literal 1 binary64)
(/.f64 alpha beta)
alpha
beta
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal -3 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) #s(literal 1 binary64))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64))
alpha
#s(literal -2 binary64)
beta
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 #s(approx (- beta alpha) (-.f64 beta alpha)) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta))
#s(approx (- beta alpha) (-.f64 beta alpha))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(-.f64 beta alpha)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
#s(literal 1 binary64)
(/.f64 alpha beta)
alpha
beta
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
#s(literal 2 binary64)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 alpha beta) #s(literal -2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal -3 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(literal 2 binary64)

localize235.0ms (2.9%)

Memory
-32.4MiB live, 294.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
accuracy0.2211113769897462
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
accuracy17.615872872572144
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
accuracy17.719922554639336
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
accuracy0.00390625
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy0.0234375
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy6.87334130595035
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
accuracy17.607759708564778
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy0
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
accuracy0.00390625
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0.015625
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
accuracy43.1113106302754
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy39.03467266793768
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
accuracy0.0078125
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy0.0078125
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
accuracy0.015625
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy17.626011336685234
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
Samples
105.0ms101×1valid
62.0ms44×2valid
29.0ms111×0valid
Compiler

Compiled 800 to 86 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-div: 52.0ms (40.7% of total)
ival-add: 25.0ms (19.6% of total)
adjust: 21.0ms (16.5% of total)
ival-sub: 13.0ms (10.2% of total)
ival-pow: 10.0ms (7.8% of total)
ival-mult: 6.0ms (4.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series156.0ms (1.9%)

Memory
8.5MiB live, 203.3MiB allocated
Counts
23 → 309
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(/ -2 beta)
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2
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(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (- (* -1 (/ (+ 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)))
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(* -1 (* beta (- (/ alpha beta) 1)))
(- (+ 2 (* -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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(+ 1 (* -1/2 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta)))
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(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3)))) (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (pow (+ 2 alpha) 4))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))))) beta)))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta)))
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(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* 2 (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2))))))) (* (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (+ (* (- alpha (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha)))))))) (pow (+ 2 alpha) 2)))))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (+ (* -1 (+ 2 alpha)) (* 2 (- alpha (* -1 (+ 2 alpha))))))) beta)))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* -1 (/ (pow (+ 2 alpha) 4) beta))) (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3)))) beta)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))
(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
beta
@-inf
((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))
20.0ms
alpha
@0
((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))
18.0ms
beta
@0
((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))
17.0ms
alpha
@-inf
((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))
15.0ms
alpha
@inf
((- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* alpha -2) -2) beta) (+ (* alpha -2) -2) (* (- 1 (/ alpha beta)) beta) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) (/ (- beta alpha) (+ (+ alpha beta) 2)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (+ (+ alpha beta) 2) (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))

simplify325.0ms (4%)

Memory
-15.3MiB live, 347.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182131365
1616830209
0802028918
Stop Event
iter limit
node limit
Counts
309 → 307
Calls
Call 1
Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(/ alpha beta)
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(* -1 (* beta (- (/ alpha beta) 1)))
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(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (+ (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3)))) (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 3))) (* -1 (pow (+ 2 alpha) 4))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))))))))) beta)))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta))
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(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (- (+ alpha (+ (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 (/ (pow (+ 2 alpha) 2) beta)))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* -1 (/ (pow (+ 2 alpha) 3) beta))) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))
(* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) beta)) (* -1 (/ (pow (+ 2 alpha) 4) beta))) (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3)))) beta)) (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta))) (* -1 (+ 2 alpha))) beta))
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(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
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Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
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(/ beta (+ 2 beta))
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(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
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(/ -2 beta)
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(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))
(/.f64 (fma.f64 #s(literal -2 binary64) alpha #s(literal -2 binary64)) beta)
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(- (* -2 alpha) 2)
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beta
(+ beta (* -1 alpha))
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(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))
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#s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))
(/.f64 (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))
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(+ (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2)))))) (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))
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(+ (* alpha (+ (* -1 (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (* alpha (+ (* -1 (* alpha (- (+ (* -1 (/ (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))) (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 4)) (+ (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4))))) (+ 2 beta))))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 4))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (pow (+ 2 beta) 2)))))))) (* -1 (- (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 3))) (+ (* -1 (/ (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (* beta (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta))))) (+ (/ beta (pow (+ 2 beta) 3)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))))))))) (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))
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(+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))
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(/ alpha (+ 2 beta))
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(/ (pow beta 3) (pow (+ 2 beta) 3))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))
(+ (* -1 (* alpha (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))))) (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3)))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 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)
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) beta) 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)
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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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beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))))) alpha) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))))) alpha) (/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (*.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))))) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))))))) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)))))) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))))))) (pow.f64 alpha #s(literal 3 binary64))))))) alpha)
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha))
(+ 2 (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2)))))
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha)))
(+ 2 (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2))))))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 2 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha))
(+ 3 (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2)))))
(-.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha)))
(+ 3 (+ (* -1 (/ (- (+ (* -1 (* beta (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) (* -1 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) (* (+ 2 beta) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))))) (pow alpha 3))) (+ (* -1 (/ (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))) alpha)) (* -1 (/ (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta))))) (pow alpha 2))))))
(+.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))) (*.f64 alpha alpha))) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))))))) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal 3 binary64))
(* -1/3 (/ (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) alpha))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha))
(/ (- (+ (* -1/3 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (* -1/3 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha))) (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) alpha))) alpha)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta))) (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))))) alpha)) alpha)
(/ (- (+ (* -1/3 (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (+ (* -1/3 (/ (- (* -1 (pow beta 3)) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 3)))) (pow alpha 2))) (* -1/3 (/ (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2)))) alpha)))) (+ (* -1/3 (/ (* (- (* -1/3 (- (+ (* 2 (pow beta 2)) (pow beta 2)) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (+ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/9 (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) (pow alpha 2))) (+ (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))) alpha)) (* 1/9 (/ (* (- (+ (* -2 beta) (* -1 beta)) (+ 6 (+ beta (* 2 beta)))) (- (+ (* beta (- (* -1 beta) (+ 2 beta))) (* (+ 2 beta) (- (* -1 beta) (+ 2 beta)))) (* (+ 2 beta) (- (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* 2 beta)) (* -2 (+ 2 beta)))))) (pow alpha 2)))))) alpha)
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(+ 2 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))
(+ 2 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))
(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 alpha (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)))) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) beta)) (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) beta)) (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -3 binary64))) beta))

rewrite239.0ms (2.9%)

Memory
7.9MiB live, 160.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044345
074333
1385333
23592281
09079280
Stop Event
iter limit
node limit
iter limit
Counts
23 → 796
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) #s(literal -3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) alpha) #s(literal -3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
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(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -2 binary64))) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))))

eval273.0ms (3.3%)

Memory
27.5MiB live, 223.8MiB allocated
Compiler

Compiled 69 196 to 5 539 computations (92% saved)

prune61.0ms (0.7%)

Memory
4.5MiB live, 50.2MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 095141 109
Fresh5712
Picked415
Done000
Total1 104221 126
Accuracy
100.0%
Counts
1 126 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
73.4%
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
72.2%
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64))
48.9%
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
29.5%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
64.5%
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
28.7%
(/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
43.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
32.0%
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
43.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64))
56.0%
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
72.4%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.0%
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
31.8%
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64)))
45.1%
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
35.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
69.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
29.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
30.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
31.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
32.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
39.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 1 489 to 846 computations (43.2% saved)

simplify222.0ms (2.7%)

Memory
-3.1MiB live, 108.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
cost-diff128
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))
cost-diff192
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff384
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff0
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
cost-diff0
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) beta)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
cost-diff0
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
cost-diff0
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
cost-diff128
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff128
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
cost-diff1280
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064521
0102527
1191509
2351502
3852498
42362496
08313486
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
beta
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(+.f64 alpha beta)
alpha
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(-.f64 #s(literal -2 binary64) beta)
#s(literal -2 binary64)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))
(*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha)
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 2 binary64) alpha)
#s(literal 2 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
(+.f64 alpha beta)
alpha
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) beta)
beta
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
alpha
beta
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(-.f64 #s(literal -2 binary64) beta)
#s(literal -2 binary64)
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
alpha
beta
(-.f64 alpha beta)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(fma.f64 (-.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (fma.f64 (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))) alpha alpha) (-.f64 #s(literal -2 binary64) alpha))
(*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))) alpha)
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 alpha #s(literal -2 binary64))))
(/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))
(/.f64 alpha (-.f64 alpha #s(literal -2 binary64)))
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 alpha #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)

localize339.0ms (4.1%)

Memory
1.6MiB live, 210.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
accuracy0.2211113769897462
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
accuracy5.1361593289206535
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))
accuracy17.615872872572144
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
accuracy0.00390625
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
accuracy0.0078125
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
accuracy0.015625
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy43.55364013962718
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
accuracy0
(+.f64 alpha beta)
accuracy0.00390625
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy0.0234375
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy17.606595685251282
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) beta)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
accuracy19.999808868389916
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
accuracy43.1113106302754
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
accuracy0.0078125
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
accuracy0.0078125
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy0.015625
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy17.626011336685234
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
120.0ms181×0valid
71.0ms20×2valid
62.0ms55×1valid
Compiler

Compiled 957 to 126 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-div: 89.0ms (51.2% of total)
ival-add: 36.0ms (20.7% of total)
ival-sub: 14.0ms (8.1% of total)
ival-mult: 13.0ms (7.5% of total)
adjust: 12.0ms (6.9% of total)
ival-pow: 6.0ms (3.5% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.9%)

Memory
-8.3MiB live, 107.7MiB allocated
Counts
27 → 371
Calls
Call 1
Inputs
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(+.f64 alpha beta)
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
1/2
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 2 beta)
(+ 2 (+ alpha beta))
(* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta)))))
(+ (* 1/2 (* alpha (- (* -1 (/ (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6)))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))) (* -1 (/ (* (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (- (+ (/ beta (pow (+ 2 beta) 2)) (/ (* beta (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (+ 2 beta))) (+ (* -1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))) (pow (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))) 2)))))) (* 1/2 (/ (+ 1 (/ (pow beta 3) (pow (+ 2 beta) 3))) (+ 1 (/ (* beta (- (/ beta (+ 2 beta)) 1)) (+ 2 beta))))))
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(/ (- (* 1/2 beta) (* -1/2 (+ 2 beta))) alpha)
(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 beta)) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
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(* 1/2 (/ (+ 2 beta) alpha))
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(/ (- (* -1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(* -1/2 (/ (+ 2 beta) alpha))
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(/ beta alpha)
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
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(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
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alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* -1 alpha)
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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-2
(- (* 2 (/ 1 alpha)) 2)
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Calls

6 calls:

TimeVariablePointExpression
16.0ms
beta
@0
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14.0ms
alpha
@0
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10.0ms
beta
@-inf
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6.0ms
alpha
@-inf
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6.0ms
alpha
@inf
((+ (* (/ beta (+ (+ alpha beta) 2)) 1/2) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2))) (neg (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2)) (* (- (/ alpha (+ (+ alpha beta) 2)) 1) 1/2) (/ beta (+ (+ alpha beta) 2)) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (- 1 (/ 1 beta)) (/ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (+ 2 (+ alpha beta)) (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (+ (* (/ alpha (+ 2 alpha)) -1) -1) (/ (* (+ (* (/ alpha (+ 2 alpha)) -1) -1) alpha) (+ 2 alpha)) (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) (- (/ alpha (+ (+ alpha beta) 2)) 1) (/ alpha (+ (+ alpha beta) 2)) (+ alpha beta) (- (/ alpha (+ 2 (+ alpha beta))) 1) (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3))

simplify314.0ms (3.8%)

Memory
5.5MiB live, 401.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0214330861
1714530861
0807029162
Stop Event
iter limit
node limit
Counts
371 → 369
Calls
Call 1
Inputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
1/2
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
(+ 1/2 (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))))
(+ 1/2 (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))))
-1/2
(- (* 1/2 (/ alpha (+ 2 beta))) 1/2)
(- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(- (* alpha (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))) 1/2)
(/ beta (+ 2 beta))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(- 1 (/ 1 beta))
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(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
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(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ 1 (/ beta (+ 2 beta)))
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-1
(- (* -1/2 alpha) 1)
(- (* alpha (- (* 1/4 alpha) 1/2)) 1)
(- (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)) 1)
(* -1/2 alpha)
(* alpha (- (* 1/8 (pow alpha 2)) 1/2))
(* alpha (- (* (pow alpha 2) (+ 1/8 (* -1/8 alpha))) 1/2))
(* alpha (- (* (pow alpha 2) (+ 1/8 (* alpha (- (* 3/32 alpha) 1/8)))) 1/2))
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(/ beta alpha)
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(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(* beta (+ 1 (/ alpha beta)))
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(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
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(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (- (+ (* -1 (* alpha (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (+ (* -1 (* alpha (pow (+ 2 alpha) 2))) (* -1 (pow (+ 2 alpha) 3))))) (* -1 (* (+ 2 alpha) (- (+ (* -1 (+ (* -1 (* alpha (+ 2 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* alpha (- alpha (* -1 (+ 2 alpha))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* alpha (- alpha (* -1 (+ 2 alpha)))))) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
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(+ 1 (* -1 (/ (- (+ alpha (+ (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 3) (+ (* -1 (pow (+ 2 alpha) 3)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ (* 2 (pow alpha 2)) (pow alpha 2)) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (+ (* 2 (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 2)) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))))))) beta)) (+ (* 2 (pow alpha 2)) (pow alpha 2))) (+ (* 2 (pow (+ 2 alpha) 2)) (+ (* (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))) (- (+ alpha (* 2 alpha)) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (* 2 alpha))) (+ (* -2 (+ 2 alpha)) (* -1 (+ 2 alpha)))) beta)))
Outputs
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2)))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (- (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* alpha (+ (* 1/2 (/ 1 (pow (+ 2 beta) 2))) (+ (* 1/2 (/ beta (pow (+ 2 beta) 3))) (* alpha (- (* -1/2 (/ beta (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))))))) (* 1/2 (/ 1 (+ 2 beta)))))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (*.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 (/ alpha (+ 2 beta))))
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beta
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(/ (pow beta 3) (pow (+ 2 beta) 3))
(/.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))
(+ (* -1 (* alpha (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3)))))) (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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 (+ (* -1 (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (+ (* -1 (/ (pow beta 3) (pow (+ 2 beta) 6))) (+ (/ (* (+ 6 (+ beta (* 2 beta))) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (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))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))) (pow (+ 2 beta) 3))))))) (* -1 (- (+ (* -2 (/ beta (pow (+ 2 beta) 3))) (* -1 (/ beta (pow (+ 2 beta) 3)))) (+ (* -1 (/ (* (pow beta 3) (+ 6 (+ beta (* 2 beta)))) (pow (+ 2 beta) 6))) (/ (* (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (* 2 (/ (pow beta 2) (pow (+ 2 beta) 3))) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -1 (/ (* (pow beta 3) (+ (* (+ 2 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow (+ 2 beta) 6))))) (pow (+ 2 beta) 3))))))))) (/ (pow beta 3) (pow (+ 2 beta) 3)))
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(/ (- (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 beta) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3))))))) alpha)
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(* 1/2 (/ (+ 2 beta) alpha))
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(/ (- (* 1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* -1/2 (+ 2 beta)) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
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(* -1/2 (/ (+ 2 beta) alpha))
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(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (* 1/2 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
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(/ (+ (* -1/2 (+ 2 beta)) (+ (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (/ (pow (+ 2 beta) 4) (pow alpha 3)))))) alpha)
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(* 1/2 (/ (+ 2 (* 2 beta)) 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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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
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alpha
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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rewrite197.0ms (2.4%)

Memory
3.7MiB live, 280.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064426
0102424
1517413
24447413
08888409
Stop Event
iter limit
node limit
iter limit
Counts
27 → 651
Calls
Call 1
Inputs
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(-.f64 alpha beta)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha)))))
(-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
(+.f64 alpha beta)
#s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 beta alpha)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64)))) #s(literal -3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal -1 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 2 binary64)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))
(pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) beta)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (-.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (fma.f64 alpha alpha (*.f64 beta (+.f64 alpha beta)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 alpha beta) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (-.f64 alpha beta)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64) (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal 2 binary64))) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64))))

eval229.0ms (2.8%)

Memory
21.5MiB live, 494.1MiB allocated
Compiler

Compiled 74 133 to 5 845 computations (92.1% saved)

prune36.0ms (0.4%)

Memory
-8.7MiB live, 109.4MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 155101 165
Fresh7916
Picked325
Done011
Total1 165221 187
Accuracy
100.0%
Counts
1 187 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
4.2%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.9%
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
72.0%
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.2%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
56.0%
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
27.7%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
28.7%
(/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
43.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
43.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64))
64.5%
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64)))
32.0%
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
73.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
31.8%
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64)))
35.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
69.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
29.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
30.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
31.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
32.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
39.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
45.1%
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Compiler

Compiled 1 462 to 831 computations (43.2% saved)

simplify123.0ms (1.5%)

Memory
2.1MiB live, 161.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
cost-diff128
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
cost-diff512
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
cost-diff0
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
cost-diff0
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff1024
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
cost-diff0
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
cost-diff0
(-.f64 alpha beta)
cost-diff0
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
cost-diff0
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) beta)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
cost-diff0
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
cost-diff128
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
cost-diff1088
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049423
085417
1163405
2331399
3918393
43596381
57653381
08785375
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
#s(literal 1/2 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
beta
alpha
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
(-.f64 alpha beta)
alpha
beta
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
(neg.f64 alpha)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(-.f64 (/.f64 alpha beta) #s(literal 1 binary64))
(/.f64 alpha beta)
alpha
beta
#s(literal 1 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
beta
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(-.f64 (+.f64 alpha beta) #s(literal -2 binary64))
#s(literal 2 binary64)
(+.f64 alpha beta)
alpha
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (-.f64 beta #s(literal -1 binary64)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta #s(literal -1 binary64)) alpha)
(+.f64 #s(literal 1 binary64) beta)
(-.f64 beta #s(literal -1 binary64))
#s(literal 1 binary64)
beta
alpha
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
(-.f64 alpha beta)
alpha
beta
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
(neg.f64 alpha)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(approx (- alpha beta) (-.f64 alpha beta)) #s(literal 1/2 binary64))
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
(/.f64 #s(approx (- alpha beta) (-.f64 alpha beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
#s(approx (- alpha beta) (-.f64 alpha beta))
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(-.f64 alpha beta)
(-.f64 (/.f64 alpha beta) #s(literal 1 binary64))
(/.f64 alpha beta)
alpha
beta
#s(literal 1 binary64)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
#s(literal -2 binary64)
(+.f64 alpha beta)
#s(literal 1/2 binary64)
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.f64 beta #s(literal -1 binary64))) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.f64 beta #s(literal -1 binary64))) alpha)
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)) (-.f64 beta #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 (fma.f64 (-.f64 beta (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)) #s(literal -2 binary64) #s(literal -4 binary64)) alpha) (-.f64 beta #s(literal -1 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) beta) (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 beta #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))
#s(literal -2 binary64)
beta
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta)
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 beta #s(literal -2 binary64))
#s(literal 2 binary64)
alpha
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) beta)
(-.f64 beta #s(literal -1 binary64))
#s(literal 1 binary64)

localize160.0ms (1.9%)

Memory
-19.3MiB live, 303.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.2103193418180358
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy2.6012408121654476
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
accuracy3.2860822249075072
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
accuracy43.41672176106955
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
accuracy0.00390625
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
accuracy0.0234375
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
accuracy6.87334130595035
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
accuracy17.606595685251282
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy0
(neg.f64 alpha)
accuracy0.0234375
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
accuracy17.606595685251282
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy43.403062928373046
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
accuracy0
(+.f64 #s(literal 1 binary64) beta)
accuracy0.0078125
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
accuracy43.553450039949425
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
accuracy0.0078125
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy0.0078125
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
accuracy0.015625
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
accuracy17.626011336685234
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
Samples
55.0ms181×0valid
36.0ms55×1valid
18.0ms20×2valid
Compiler

Compiled 792 to 97 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 21.0ms (26% of total)
ival-add: 16.0ms (19.8% of total)
ival-sub: 13.0ms (16.1% of total)
ival-mult: 13.0ms (16.1% of total)
adjust: 10.0ms (12.4% of total)
ival-neg: 4.0ms (4.9% of total)
ival-pow2: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
18.8MiB live, 59.9MiB allocated
Counts
25 → 262
Calls
Call 1
Inputs
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
(-.f64 alpha beta)
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(neg.f64 alpha)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
Outputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
1
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ (+ 1 beta) alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ alpha (* -1 beta))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* -1 alpha)
(/ (pow (+ 2 beta) 2) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/ (+ 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)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 beta) alpha)
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* (+ 2 beta) (- (* -2 beta) 2))
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2))))
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -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 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 4) alpha) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* -1 (/ alpha beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
beta
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
beta
@0
((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
4.0ms
beta
@inf
((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
4.0ms
beta
@-inf
((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
4.0ms
alpha
@-inf
((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))
4.0ms
alpha
@0
((+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1))) (* 1/2 (+ (/ beta (+ 2 (+ alpha beta))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)))) (neg (- (/ alpha (+ 2 (+ alpha beta))) 1)) (/ beta (+ 2 (+ alpha beta))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ 1 beta) alpha) (+ 1 beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (- -2 (+ alpha beta)) (* (- (/ alpha beta) 1) beta) (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (/ (- alpha beta) (- -2 (+ alpha beta))) (- alpha beta) (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/ (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) alpha) (- (/ alpha (+ 2 (+ alpha beta))) 1) (/ alpha (+ 2 (+ alpha beta))) (neg alpha) (- -2 (+ alpha beta)) (/ (pow (- beta -2) 2) alpha) (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha))

simplify168.0ms (2%)

Memory
7.3MiB live, 278.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012697121
141366815
086356497
Stop Event
iter limit
node limit
Counts
262 → 260
Calls
Call 1
Inputs
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
1
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ (+ 1 beta) alpha)
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(* -1 beta)
(- alpha beta)
(* -1 (+ 2 beta))
(- (* -1 alpha) (+ 2 beta))
(+ alpha (* -1 beta))
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* -1 alpha)
(/ (pow (+ 2 beta) 2) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/ (+ 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)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/ (+ 2 beta) alpha)
(/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) alpha)
(/ (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) (pow alpha 3)))))) alpha)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2))) 1)
(- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) (pow alpha 3))) (+ (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) (pow alpha 2)))) 1)
alpha
(* alpha (+ 1 (* -1 (/ beta alpha))))
(* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))))
(* (+ 2 beta) (- (* -2 beta) 2))
(- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* -1 (* (+ 2 beta) (- (* -2 beta) 2))))
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* (+ 2 beta) (- (* -2 beta) 2))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -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 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 4) alpha) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta))))) (* 1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))))) alpha)) (* -1/2 (- beta (* -1 (+ 2 beta))))) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) alpha)) 1)
(- (* -1 (/ (+ (* -1 (- beta (* -1 (+ 2 beta)))) (* -1 (/ (+ (* -1 (* (+ 2 beta) (- beta (* -1 (+ 2 beta))))) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) alpha)) alpha))) alpha)) 1)
(* -1 (* alpha (- (/ beta alpha) 1)))
(* -1 (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))) alpha))))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2)))) alpha))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha)) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(- (+ 1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 3))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4)))) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* -1/2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* -1/2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))))))))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))
(* -1 (+ 2 alpha))
(- (* -1 beta) (+ 2 alpha))
(- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))))))) (* 2 (/ 1 alpha)))
(- (+ 1 (+ (* 4 (/ 1 (pow alpha 2))) (* beta (+ 1 (+ (* -1/2 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1/2 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (/ beta (pow alpha 2))))))))) (* 2 (/ 1 alpha)))
(* 2 (- (* 4 (/ 1 alpha)) 2))
(- (* -1 (* beta (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (* 2 (/ 1 alpha)) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(- (* beta (- (* beta (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) (* -2 (- (* 4 (/ 1 alpha)) 1)))) (+ (* -2 (- (* 4 (/ 1 alpha)) 1)) (* -2 (- (* 4 (/ 1 alpha)) 2))))) (* -2 (- (* 4 (/ 1 alpha)) 2)))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) alpha)) (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* -1/2 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (+ (* beta (+ (* -1/2 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (* beta (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* -2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) (* beta (+ (* -1 (- (* -2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ beta (pow alpha 2))))))))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+ 1 (* -1 (/ alpha beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (/ alpha beta))
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
beta
(* beta (+ 1 (/ 1 beta)))
(+ 1 (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1/2 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (* 1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))))
(+ 1 (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)))
(+ 1 (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2))))
(+ 1 (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) (pow beta 3))) (+ (* -1 (/ (- alpha (* -1 (+ 2 alpha))) beta)) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) (pow beta 2)))))
(* beta (- (/ alpha beta) 1))
(* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
(* 2 (/ (pow beta 3) alpha))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) beta)) (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (pow beta 2))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 2))) (* 2 (/ 1 alpha)))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta)))))))
(* (pow beta 3) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha beta))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))))
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (* alpha (+ 2 alpha)) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) beta)) (* alpha (+ 2 alpha))) beta)) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* 1/2 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta)) (* 1/2 (- alpha (* -1 (+ 2 alpha))))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta))) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ alpha (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))))) beta))) (* -1 (+ 2 alpha))) beta)))
(* -1 (* beta (+ 1 (* -1 (/ alpha beta)))))
(* -1 (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
Outputs
(+ 1 (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))))) alpha)) alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha (+ 2 beta))))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (* alpha (- (/ alpha (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta)))))
(fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64))
(+ 1 (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal 1 binary64))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ 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)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1/2 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1/2 binary64))) alpha))
(+ (* -1 (* alpha (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2)))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (* alpha (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2))))) (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))))) (/ beta (+ 2 beta)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ (* -1 (- (/ 1 (+ 2 beta)) (* -1 (/ beta (pow (+ 2 beta) 2))))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (* -1 (/ beta (pow (+ 2 beta) 4)))))) (* -1 (- (* -1 (/ beta (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))))))) (/ beta (+ 2 beta)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64)))) alpha (fma.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) alpha (neg.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))) alpha (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(* -1 beta)
(neg.f64 beta)
(- alpha beta)
(-.f64 alpha beta)
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (* -1 alpha) (+ 2 beta))
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)
(+ alpha (* -1 beta))
(-.f64 alpha beta)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) alpha) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (*.f64 alpha alpha))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha)) (*.f64 alpha alpha))
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) alpha))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (neg.f64 alpha))
(/ (- (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) alpha)
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) alpha)
(* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 3)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (fma.f64 alpha beta alpha)) alpha)) (pow.f64 alpha #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (/ alpha (+ 2 beta)) 1)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha #s(literal -1 binary64))
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(fma.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha #s(literal -1 binary64))
(/ alpha (+ 2 beta))
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha)
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 (fma.f64 (-.f64 (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)))) alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))) alpha)
(* -1 alpha)
(neg.f64 alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) alpha)
(* -1 (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) 2)) (pow alpha 2)))
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 alpha alpha)))
(/ (+ (* -1 (* (pow (+ 2 beta) 2) (- (* -2 beta) 2))) (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (pow alpha 2))
(/.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) (*.f64 alpha alpha))
(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)
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(* (pow beta 3) (- (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (+ (* 1/2 (/ (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 1) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (+ (/ 1 (pow beta 3)) (/ 4 (* (pow alpha 2) (pow beta 3)))))))) (/ 2 (* alpha (pow beta 3)))))
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(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (pow beta 3))) (* 2 (/ 1 alpha))) (+ (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (- (* 4 (/ 1 alpha)) 2))) (pow beta 2))) (* -1 (/ (+ (* 2 (- (* 4 (/ 1 alpha)) 1)) (* 2 (/ 1 alpha))) beta)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) #s(literal -1/2 binary64) #s(literal -1 binary64)) (neg.f64 beta))) (neg.f64 beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* -1/2 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) 1) beta)) (* -1/2 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) (neg.f64 beta)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) #s(literal -1/2 binary64) #s(literal -1 binary64))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 2 (/ 1 alpha)) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (+ (* 2 (/ 1 alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) beta) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64)) beta) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 4 (/ 1 alpha)) 2) beta)) (+ (* -2 (- 1 (* 4 (/ 1 alpha)))) (* 2 (- (* 4 (/ 1 alpha)) 2)))) beta)) (* 2 (/ 1 alpha))) (* 2 (- 1 (* 4 (/ 1 alpha))))) beta)) (* 2 (/ 1 alpha)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) beta) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)))) beta)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 2 binary64))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) alpha)))
(* -1 (* (pow beta 3) (- (* 1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (*.f64 alpha beta)) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha)) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) alpha)) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (/ 1 (pow alpha 3))) (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))) beta)) (* -1/2 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))) alpha))) (/ 1 alpha)) beta)) (* -1/2 (/ (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) alpha) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))) beta) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha)) alpha) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) alpha))) (neg.f64 beta))) beta) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 alpha #s(literal 3 binary64)))))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(-.f64 (/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta)) #s(literal 1 binary64))
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(/.f64 (fma.f64 alpha (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) alpha) beta)
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64)) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) beta) (*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 2 binary64))) alpha)) beta) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (neg.f64 beta)) alpha) (neg.f64 beta))
(* -1 (* (pow beta 3) (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 2 (* (pow alpha 2) beta))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) beta) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) (* alpha beta))) (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) (*.f64 alpha beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (- (* 2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ 1 (pow alpha 2))))) (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (* -1 (+ (* -2 (/ (- 1 (* 4 (/ 1 alpha))) alpha)) (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))))) beta))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 alpha beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64) #s(literal -4 binary64)) alpha))) (neg.f64 beta)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))) (neg.f64 beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))

rewrite196.0ms (2.4%)

Memory
-25.2MiB live, 295.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049331
085329
1418317
23706317
08500317
Stop Event
iter limit
node limit
iter limit
Counts
25 → 602
Calls
Call 1
Inputs
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) beta)
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha)))
(-.f64 alpha beta)
#s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))
(*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))
#s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta))
(fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta))
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)))
(neg.f64 alpha)
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha)
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) (-.f64 beta alpha)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(neg.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (+.f64 alpha beta) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) alpha (neg.f64 (-.f64 beta #s(literal -2 binary64))))
(fma.f64 alpha #s(literal -1 binary64) (neg.f64 (-.f64 beta #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (/.f64 (*.f64 beta beta) (+.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))) (/.f64 (pow.f64 beta #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))))
(-.f64 (/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 alpha beta)))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (neg.f64 (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)
(-.f64 #s(literal 0 binary64) (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))
(-.f64 #s(literal -2 binary64) (+.f64 alpha beta))
(+.f64 (neg.f64 (+.f64 alpha #s(literal 2 binary64))) (neg.f64 beta))
(+.f64 (-.f64 #s(literal -2 binary64) alpha) (neg.f64 beta))
(+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -2 binary64))
(+.f64 (neg.f64 alpha) (neg.f64 (-.f64 beta #s(literal -2 binary64))))
(+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 alpha beta)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha))
(*.f64 (-.f64 beta #s(literal -2 binary64)) (*.f64 (-.f64 beta #s(literal -2 binary64)) (pow.f64 alpha #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha))
(pow.f64 (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) alpha)
(/.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 alpha))
(/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64))) alpha))
(neg.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 alpha)) (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) (neg.f64 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) alpha))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (pow.f64 alpha #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 alpha #s(literal -1 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))
(*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 alpha #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (pow.f64 (neg.f64 alpha) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) alpha))
(*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (pow.f64 alpha #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)))
(pow.f64 (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal -1 binary64)) alpha)
(/.f64 (*.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) #s(literal 1 binary64)) alpha)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) alpha)
(/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)))))
(neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 alpha))) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 (neg.f64 alpha))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 alpha)) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 alpha) (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))))) #s(literal -1 binary64)))

eval144.0ms (1.8%)

Memory
22.8MiB live, 252.0MiB allocated
Compiler

Compiled 35 406 to 4 134 computations (88.3% saved)

prune38.0ms (0.5%)

Memory
13.6MiB live, 91.2MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New8717878
Fresh31114
Picked235
Done033
Total87624900
Accuracy
100.0%
Counts
900 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
4.2%
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
48.9%
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
72.0%
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.2%
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
45.1%
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
27.7%
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
43.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
43.8%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64))
64.5%
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64)))
32.0%
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
73.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
56.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
31.8%
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64)))
35.5%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
69.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
30.7%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
31.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
25.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
29.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
25.4%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
31.9%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
32.8%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
39.0%
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Compiler

Compiled 2 246 to 761 computations (66.1% saved)

regimes73.0ms (0.9%)

Memory
-27.0MiB live, 134.9MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 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 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) (-.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 alpha beta) #s(literal 1/2 binary64)) (-.f64 #s(literal -8 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64) #s(literal -2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)))) alpha) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 beta #s(literal -2 binary64)) #s(literal 2 binary64)) alpha) beta) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64))) (neg.f64 alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (fma.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))) (/.f64 (pow.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) beta)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta)) #s(literal -2 binary64))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) #s(approx (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64) #s(literal -1 binary64)) alpha) (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) #s(literal -3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(approx (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (/.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta))) (/.f64 (-.f64 (neg.f64 (pow.f64 beta #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))))) (*.f64 alpha alpha))) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 beta beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) beta) (fma.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) (fma.f64 #s(literal 3 binary64) beta #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 2 binary64))))) alpha)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)) (-.f64 alpha beta))))) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64))))
Calls

5 calls:

15.0ms
beta
15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
13.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
13.0ms
alpha
11.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
93.9%2alpha
73.4%1beta
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 35 to 30 computations (14.3% saved)

regimes18.0ms (0.2%)

Memory
34.4MiB live, 34.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 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 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
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 33 to 26 computations (21.2% saved)

regimes31.0ms (0.4%)

Memory
-17.1MiB live, 32.7MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 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 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* (/ (neg (* (+ (* -2 beta) -2) (- (- (/ (pow (- beta -2) 2) alpha) beta) 2))) alpha) 1/2) (+ 1 beta)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) alpha))) alpha))
(*.f64 (+.f64 (/.f64 #s(approx (- beta alpha) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) beta)) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Outputs
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

19.0ms
(/.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
99.5%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.5%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.5%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes18.0ms (0.2%)

Memory
-5.0MiB live, 33.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 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 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
Outputs
(*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
(/.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))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes16.0ms (0.2%)

Memory
0.5MiB live, 39.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (/ (+ (pow (/ (- -2 (+ alpha beta)) (- alpha beta)) -3) 1) (+ 1 (/ (- (/ (- alpha beta) (- -2 (+ alpha beta))) 1) (/ (- -2 (+ alpha beta)) (- alpha beta))))) 2) (*.f64 (/.f64 (-.f64 (fma.f64 beta #s(literal -3 binary64) #s(literal -6 binary64)) (*.f64 #s(literal 3 binary64) beta)) alpha) #s(literal -1/6 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
4.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory
-0.4MiB live, 38.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64))
Calls

3 calls:

4.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
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))
Results
AccuracySegmentsBranch
99.4%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.4%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.4%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes13.0ms (0.2%)

Memory
-12.2MiB live, 30.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
Calls

3 calls:

5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
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))
Results
AccuracySegmentsBranch
98.3%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.3%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.3%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(approx (/ (- alpha beta) (- -2 (+ alpha beta))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (- (/ beta (+ 2 (+ alpha beta))) (- (/ alpha (+ 2 (+ alpha beta))) 1)) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) #s(approx (- -2 (+ alpha beta)) (neg.f64 alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
3.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
3.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
96.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
96.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
96.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes7.0ms (0.1%)

Memory
-17.6MiB live, 22.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Calls

3 calls:

3.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.0%3(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
98.0%3(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
98.0%3(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

regimes11.0ms (0.1%)

Memory
-17.4MiB live, 21.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

5 calls:

3.0ms
beta
2.0ms
alpha
2.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
2.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
2.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
55.5%2beta
61.4%2alpha
66.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
66.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
66.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))
Outputs
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
alpha
2.0ms
(/.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
54.5%2alpha
60.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
60.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
60.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes6.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
alpha
1.0ms
beta
1.0ms
(/.f64 (-.f64 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
39.0%1alpha
39.0%1beta
39.0%1(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
39.0%1(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
39.0%1(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 35 to 30 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999989620461398
-0.9998636967227185
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999989620461398
-0.9998636967227185
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999987971847
-0.9999989620461398
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999987971847
-0.9999989620461398
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999987971847
-0.9999989620461398
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999987971847
-0.9999989620461398
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0071245311967248265
0.9999617397234939
0.0ms
-0.9998636967227185
-0.9985312020625923
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0616533146716929
-0.0003046421178014214
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0071245311967248265
0.9999617397234939
0.0ms
-0.9998636967227185
-0.9985312020625923
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0616533146716929
-0.0003046421178014214
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9985312020625923
-0.0616533146716929
Compiler

Compiled 16 to 16 computations (0% saved)

simplify75.0ms (0.9%)

Memory
-29.9MiB live, 87.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110665
1140665
2175665
3214665
4260665
5347665
6364665
7385665
8465665
9578665
10646665
11734665
12849665
13982665
141136665
151276665
161380665
171447665
181493665
191509665
201512665
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #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 -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) (-.f64 (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 (+.f64 alpha beta) #s(literal -2 binary64)))) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha) (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -4503149267407759/4503599627370496 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 (*.f64 (-.f64 beta #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) beta #s(literal -2 binary64)) alpha)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) beta)) alpha)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (- alpha beta) (*.f64 (-.f64 (/.f64 alpha beta) #s(literal 1 binary64)) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) (*.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (- (/ alpha (+ 2 (+ alpha beta))) 1) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha 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 -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (+.f64 alpha 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 -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -9007190247541737/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #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 -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (/.f64 beta (-.f64 beta #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -8998192055486251/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ (- alpha beta) (- -2 (+ alpha beta))) 1/2) 1/2) (fma.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* (/ (+ (* alpha -2) -2) beta) 1/2) 1) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal -1/2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ 1 beta) alpha) (/.f64 #s(literal 1 binary64) alpha))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))

soundness1.3s (15.8%)

Memory
32.1MiB live, 1 022.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182131365
1616830209
0802028918
049331
085329
1418317
23706317
08500317
064426
0102424
1517413
24447413
08888409
01044
01644
19144
274844
0905743
04332206
113942067
245691878
086511750
012697121
141366815
086356497
0214330861
1714530861
0807029162
044345
074333
1385333
23592281
09079280
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 353 to 491 computations (63.7% saved)

preprocess80.0ms (1%)

Memory
-14.6MiB live, 141.2MiB allocated
Compiler

Compiled 1 356 to 246 computations (81.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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