Octave 3.8, jcobi/1

Time bar (total: 11.5s)

analyze2.0ms (0%)

Memory
3.4MiB live, 3.4MiB 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)

sample1.2s (10.1%)

Memory
7.1MiB live, 1 999.4MiB allocated
Samples
528.0ms6 042×0valid
191.0ms1 487×1valid
130.0ms727×2valid
Precisions
Click to see histograms. Total time spent on operations: 599.0ms
ival-div: 190.0ms (31.7% of total)
ival-add: 172.0ms (28.7% of total)
ival-sub: 124.0ms (20.7% of total)
adjust: 43.0ms (7.2% of total)
ival->: 41.0ms (6.8% of total)
exact: 16.0ms (2.7% of total)
ival-and: 11.0ms (1.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess563.0ms (4.9%)

Memory
19.1MiB live, 239.7MiB allocated
Algorithm
egg-herbie
Rules
2 176×accelerator-lowering-fma.f32
2 176×accelerator-lowering-fma.f64
1 144×distribute-rgt-in
1 100×div-sub
1 028×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03282
18780
219080
348678
4123978
5294378
6554578
7642278
8661078
9664678
10669378
11669378
12692178
13703278
14703478
15703478
16703478
17756678
18781178
19781178
20781178
21781178
01013
12213
23913
36713
412713
528613
656613
794213
8161013
9282813
10303913
11312613
12318013
13318213
14318213
15318213
0318212
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64))))
Call 2
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ 1/2 (* (- beta alpha) (/ 1/2 (+ (+ beta alpha) 2))))
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ 1/2 (/ (+ beta alpha) (+ 4 (* 2 (- beta alpha)))))
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ 1/2 (* (+ beta alpha) (/ 1/2 (+ beta (- -2 alpha)))))
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ -4 (* 2 (- alpha beta)))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (* (+ beta alpha) (/ 1/2 (+ 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ 1/2 (* (- beta alpha) (/ 1/2 (- -2 (+ beta alpha)))))

explain129.0ms (1.1%)

Memory
13.6MiB live, 326.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-0-(+.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))cancellation750
Confusion
Predicted +Predicted -
+750
-0181
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7500
-00181
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0181
175
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms368×0valid
16.0ms106×1valid
7.0ms38×2valid
Compiler

Compiled 130 to 44 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 13.0ms (43.6% of total)
ival-add: 9.0ms (30.2% of total)
ival-sub: 4.0ms (13.4% of total)
adjust: 3.0ms (10.1% of total)
exact: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify152.0ms (1.3%)

Memory
-12.9MiB live, 165.9MiB 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))
Rules
2 176×accelerator-lowering-fma.f32
2 176×accelerator-lowering-fma.f64
880×*-lowering-*.f32
880×*-lowering-*.f64
474×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
12248
23948
36748
412748
528648
656648
794248
8161048
9282848
10303948
11312648
12318048
13318248
14318248
15318248
0318247
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+ alpha beta)
2
1
Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64))))
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
(/ (- beta alpha) (+ (+ alpha beta) 2))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)

localize37.0ms (0.3%)

Memory
-15.6MiB live, 102.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
accuracy100.0%
(+.f64 alpha beta)
accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
accuracy72.9%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Samples
13.0ms184×0valid
7.0ms53×1valid
4.0ms19×2valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.8% of total)
ival-add: 4.0ms (31.8% of total)
ival-sub: 2.0ms (15.9% of total)
adjust: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-2.7MiB live, 36.3MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
Calls

36 calls:

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

rewrite421.0ms (3.6%)

Memory
38.1MiB live, 779.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 066×accelerator-lowering-fma.f32
5 066×accelerator-lowering-fma.f64
4 410×*-lowering-*.f32
4 410×*-lowering-*.f64
4 264×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
18544
274244
0904343
Stop Event
iter limit
node limit
Counts
6 → 458
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
(+ alpha beta)
(+ (+ alpha beta) 2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 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 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
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(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))

simplify489.0ms (4.2%)

Memory
-8.5MiB live, 750.0MiB allocated
Algorithm
egg-herbie
Rules
9 688×accelerator-lowering-fma.f32
9 688×accelerator-lowering-fma.f64
3 924×+-lowering-+.f64
3 924×+-lowering-+.f32
3 726×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332500
113942354
245632155
086422014
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
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#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) 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)))))
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #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 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) 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 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta)
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta)

eval116.0ms (1%)

Memory
-28.5MiB live, 164.6MiB allocated
Compiler

Compiled 18 403 to 2 325 computations (87.4% saved)

prune78.0ms (0.7%)

Memory
9.2MiB live, 204.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New59210602
Fresh000
Picked101
Done000
Total59310603
Accuracy
100.0%
Counts
603 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
71.7%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
42.4%
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
72.8%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
29.8%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
44.6%
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
31.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
48.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
44.6%
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
37.2%
#s(literal 1 binary64)
Compiler

Compiled 416 to 220 computations (47.1% saved)

simplify520.0ms (4.5%)

Memory
11.2MiB live, 685.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 beta alpha) (-.f64 beta alpha))
cost-diff0
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
cost-diff0
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
cost-diff128
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
cost-diff512
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) beta)
cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Rules
16 228×accelerator-lowering-fma.f32
16 228×accelerator-lowering-fma.f64
3 568×*-lowering-*.f32
3 568×*-lowering-*.f64
3 392×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028237
170235
2169235
3648235
42486235
54702235
08228228
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(- beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(+ alpha 2)
2
1/2
1
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
1/2
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(/ 1 (+ beta (+ alpha 2)))
1
(+ beta (+ alpha 2))
beta
(+ alpha 2)
alpha
2
(- beta alpha)
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
(* (- beta alpha) (- beta alpha))
(- beta alpha)
beta
alpha
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
(+ alpha 2)
2
-1
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)
(/ (- beta alpha) (+ beta (+ alpha 2)))
-2
Outputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(/ 1 (+ beta (+ alpha 2)))
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
beta
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(- beta alpha)
(-.f64 beta alpha)
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)))
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)
(fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(* (- beta alpha) (- beta alpha))
(*.f64 (-.f64 beta alpha) (-.f64 beta alpha))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
-2
#s(literal -2 binary64)

localize141.0ms (1.2%)

Memory
-6.4MiB live, 304.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy74.0%
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))
accuracy73.9%
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
accuracy46.9%
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy72.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
accuracy100.0%
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
accuracy100.0%
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
accuracy72.9%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Samples
40.0ms100×1valid
26.0ms42×2valid
24.0ms114×0valid
Compiler

Compiled 235 to 30 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-add: 21.0ms (34.7% of total)
ival-div: 16.0ms (26.5% of total)
ival-mult: 14.0ms (23.2% of total)
adjust: 6.0ms (9.9% of total)
ival-sub: 3.0ms (5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
12.0MiB live, 103.2MiB allocated
Counts
17 → 360
Calls
Call 1
Inputs
#<alt (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)>
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))>
#<alt (- beta alpha)>
#<alt (+ beta (+ alpha 2))>
#<alt (+ (* 1/2 (/ beta (+ 2 beta))) 1/2)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)>
#<alt (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)>
#<alt (/ 1 (+ beta (+ alpha 2)))>
#<alt (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)>
#<alt (/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))>
#<alt (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))>
#<alt (* (- beta alpha) (- beta alpha))>
#<alt (+ alpha 2)>
#<alt (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)>
#<alt (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))>
Outputs
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
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#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
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#<alt (/ (+ 2 (* 2 beta)) alpha)>
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#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
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#<alt (- (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)>
#<alt (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)>
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#<alt (/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta)>
#<alt (/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) beta))))))) beta)>
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#<alt (- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)>
#<alt (- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)>
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)>
#<alt (pow (+ 2 alpha) 2)>
#<alt (+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))>
#<alt (pow (+ 2 beta) 2)>
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))>
Calls

90 calls:

TimeVariablePointExpression
8.0ms
beta
@0
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
4.0ms
alpha
@inf
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
4.0ms
beta
@inf
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
3.0ms
beta
@0
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
3.0ms
alpha
@-inf
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)

rewrite503.0ms (4.4%)

Memory
15.1MiB live, 900.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 822×*-lowering-*.f32
5 822×*-lowering-*.f64
4 502×/-lowering-/.f32
4 502×/-lowering-/.f64
2 354×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028163
1219157
22008157
08876152
Stop Event
iter limit
node limit
Counts
17 → 698
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(- beta alpha)
(+ beta (+ alpha 2))
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(/ 1 (+ beta (+ alpha 2)))
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))
(* (- beta alpha) (- beta alpha))
(+ alpha 2)
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
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(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64)))) (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))))
(+.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(fma.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(fma.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))))
(/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (fma.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (fma.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(*.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))

simplify592.0ms (5.1%)

Memory
-28.2MiB live, 1 069.2MiB allocated
Algorithm
egg-herbie
Rules
6 798×accelerator-lowering-fma.f32
6 798×accelerator-lowering-fma.f64
5 904×*-lowering-*.f32
5 904×*-lowering-*.f64
5 580×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146414761
1473814378
0907313376
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
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(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
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1/2
(+ 1/2 (* 1/4 beta))
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1
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1
(- 1 (/ 1 beta))
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(* 1/2 beta)
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(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
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1
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beta
(* beta (+ 1 (* 2 (/ 1 beta))))
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(* beta (+ 1 (* 2 (/ 1 beta))))
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1
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1
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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)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(- 1 (/ alpha (+ 2 alpha)))
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(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 1 (/ beta (+ 2 beta)))
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/ 1 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) 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 beta)
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
(- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)
(- (+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)
(- (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)
(- (+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) 1)
(/ (- (* -2 alpha) (+ 4 (* 2 alpha))) beta)
(/ (- (+ (* -2 alpha) (/ (pow alpha 2) beta)) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta)
(/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) beta))))))) beta)
(* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (pow alpha 2)) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)
(- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)
(/ (- (+ (* -2 beta) (/ (pow beta 2) alpha)) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (pow beta 2)) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
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(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) (* 1/8 (* (pow (+ 2 beta) 2) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
1
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
1
(- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
1
(+ 1 (* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(pow alpha 2)
(+ (* -2 (* alpha beta)) (pow alpha 2))
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2))
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta))))
(pow beta 2)
(+ (* -2 (* alpha beta)) (pow beta 2))
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2))
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha))))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(- (* -2 (/ alpha (+ 2 alpha))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2)
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2)
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta)
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta)
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(- (* 2 (/ beta (+ 2 beta))) 2)
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)
-4
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)
-4
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(pow (+ 2 alpha) 2)
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(pow (+ 2 beta) 2)
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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(* -1 alpha)
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beta
(* beta (+ 1 (* -1 (/ alpha beta))))
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beta
(* -1 (* beta (- (/ alpha beta) 1)))
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beta
(+ beta (* -1 alpha))
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(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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beta
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(+ 2 beta)
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(+ 2 (+ alpha beta))
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(+ 2 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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alpha
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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1/2
#s(literal 1/2 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal -2 binary64))) beta)) beta)) (-.f64 #s(literal 0 binary64) beta))
(- (* 2 (/ beta (+ 2 beta))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)
(fma.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))) #s(literal -2 binary64)))
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) #s(literal -2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))) #s(literal -2 binary64)))
-4
#s(literal -4 binary64)
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64))
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64)))
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -2 binary64) #s(literal -4 binary64))
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64))
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64))
(pow (+ 2 alpha) 2)
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(fma.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 alpha #s(literal 2 binary64) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))
(fma.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 alpha #s(literal 2 binary64) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) beta)))
(pow (+ 2 beta) 2)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64))) alpha)))

eval368.0ms (3.2%)

Memory
8.5MiB live, 598.4MiB allocated
Compiler

Compiled 76 259 to 5 452 computations (92.9% saved)

prune218.0ms (1.9%)

Memory
22.6MiB live, 572.5MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 841111 852
Fresh145
Picked325
Done000
Total1 845171 862
Accuracy
100.0%
Counts
1 862 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
4.2%
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
72.8%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.9%
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
71.7%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
48.6%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
42.4%
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
29.8%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
44.3%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
47.8%
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))
31.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
44.6%
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
37.2%
#s(literal 1 binary64)
48.3%
#s(literal 1/2 binary64)
Compiler

Compiled 627 to 324 computations (48.3% saved)

simplify479.0ms (4.2%)

Memory
-5.0MiB live, 813.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 2 binary64) beta)
cost-diff0
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
cost-diff128
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
cost-diff384
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
cost-diff0
(+.f64 alpha #s(literal 2 binary64))
cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Rules
17 802×accelerator-lowering-fma.f32
17 802×accelerator-lowering-fma.f64
4 766×*-lowering-*.f32
4 766×*-lowering-*.f64
1 736×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032146
173146
2158142
3366142
41021136
52640134
63735134
76617134
08122125
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2)
(- beta alpha)
beta
alpha
(/ 1/2 (+ 2 (+ beta alpha)))
1/2
(+ 2 (+ beta alpha))
2
(+ beta alpha)
1/2
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
beta
(+ (* beta -1/8) 1/4)
-1/8
1/4
1/2
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2)
-1/2
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
1/2
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
1/2
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(+ 2 beta)
2
beta
(/ (+ (* beta -2) -2) alpha)
(+ (* beta -2) -2)
-2
alpha
(+ 1 beta)
1
Outputs
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2)
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(/ 1/2 (+ 2 (+ beta alpha)))
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 2 (+ beta alpha))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ beta alpha)
(+.f64 beta alpha)
1/2
#s(literal 1/2 binary64)
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
beta
(+ (* beta -1/8) 1/4)
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
-1/8
#s(literal -1/8 binary64)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2)
(fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64)) alpha)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(/.f64 (fma.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)) #s(literal -4 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
beta
(/ (+ (* beta -2) -2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(+ (* beta -2) -2)
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
alpha
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize115.0ms (1%)

Memory
-6.5MiB live, 261.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta))
accuracy100.0%
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
accuracy99.9%
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
accuracy98.4%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
accuracy68.7%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 beta alpha)
accuracy100.0%
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
accuracy72.8%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Samples
37.0ms172×0valid
19.0ms55×1valid
15.0ms28×2valid
1.0ms3valid
Compiler

Compiled 136 to 34 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 21.0ms (41.9% of total)
ival-mult: 12.0ms (23.9% of total)
ival-div: 9.0ms (18% of total)
adjust: 4.0ms (8% of total)
ival-sub: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
16.0MiB live, 50.1MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#<alt (+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2)>
#<alt (- beta alpha)>
#<alt (/ 1/2 (+ 2 (+ beta alpha)))>
#<alt (+ 2 (+ beta alpha))>
#<alt (+ (* beta (+ (* beta -1/8) 1/4)) 1/2)>
#<alt (+ (* beta -1/8) 1/4)>
#<alt (+ (* -1/2 (/ alpha (+ alpha 2))) 1/2)>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))>
#<alt (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)>
#<alt (+ 2 beta)>
#<alt (+ beta alpha)>
#<alt (/ (+ (* beta -2) -2) alpha)>
Outputs
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))>
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (/ 1/2 (+ 2 alpha))>
#<alt (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))>
#<alt (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))>
#<alt (+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))>
#<alt (/ 1/2 beta)>
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)>
#<alt (/ 1/2 beta)>
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))>
#<alt (/ 1/2 (+ 2 beta))>
#<alt (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))>
#<alt (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))>
#<alt (+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))>
#<alt (/ 1/2 alpha)>
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)>
#<alt (/ 1/2 alpha)>
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (* -1/8 (pow beta 2))>
#<alt (* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))>
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))>
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))>
#<alt (* -1/8 (pow beta 2))>
#<alt (* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))>
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))>
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/8 beta))>
#<alt (+ 1/4 (* -1/8 beta))>
#<alt (+ 1/4 (* -1/8 beta))>
#<alt (* -1/8 beta)>
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))>
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))>
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))>
#<alt (* -1/8 beta)>
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))>
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))>
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))>
#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))>
#<alt (* -1 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))>
#<alt (/ -4 alpha)>
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))>
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (/ -2 alpha)>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -2 (/ beta alpha))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
#<alt (/ (- (* -2 beta) 2) alpha)>
Calls

72 calls:

TimeVariablePointExpression
8.0ms
alpha
@inf
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
1.0ms
alpha
@0
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
1.0ms
beta
@0
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
1.0ms
beta
@inf
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
1.0ms
alpha
@-inf
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)

rewrite450.0ms (3.9%)

Memory
0.1MiB live, 785.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 700×/-lowering-/.f32
4 700×/-lowering-/.f64
4 052×*-lowering-*.f32
4 052×*-lowering-*.f64
3 808×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032119
1226119
22061119
08650106
Stop Event
iter limit
node limit
Counts
15 → 664
Calls
Call 1
Inputs
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2)
(- beta alpha)
(/ 1/2 (+ 2 (+ beta alpha)))
(+ 2 (+ beta alpha))
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2)
(+ (* beta -1/8) 1/4)
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2)
(/ alpha (+ alpha 2))
(+ alpha 2)
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)
(+ 2 beta)
(+ beta alpha)
(/ (+ (* beta -2) -2) alpha)
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (-.f64 beta alpha) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(/.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (neg.f64 (fma.f64 beta beta (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 4 binary64)) (-.f64 beta #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) beta)) (*.f64 (-.f64 #s(literal 2 binary64) beta) (*.f64 beta beta))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) #s(literal 4 binary64))) (neg.f64 (-.f64 beta #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) #s(literal -1 binary64))
(*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) beta)))
(+.f64 beta alpha)
(+.f64 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)))
(fma.f64 beta #s(literal 1 binary64) alpha)
(fma.f64 #s(literal 1 binary64) beta alpha)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (fma.f64 alpha alpha (-.f64 (*.f64 beta beta) (*.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (-.f64 beta alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (fma.f64 alpha alpha (-.f64 (*.f64 beta beta) (*.f64 beta alpha)))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (*.f64 alpha alpha))) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (neg.f64 (neg.f64 (-.f64 beta alpha))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (neg.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (neg.f64 (-.f64 alpha beta)))
(pow.f64 (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal -1 binary64))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta alpha))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 beta alpha) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta))))) (/.f64 (-.f64 beta alpha) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 beta beta) #s(literal 4 binary64)) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))) alpha) (/.f64 (/.f64 #s(literal 4 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))) alpha))
(-.f64 (/.f64 (*.f64 (*.f64 beta beta) #s(literal 4 binary64)) (*.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha))
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/.f64 #s(literal 1 binary64) (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (*.f64 alpha (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64)))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))) alpha))
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)) alpha))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (neg.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64))) (neg.f64 (*.f64 alpha (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64))) (neg.f64 (*.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) alpha)
(/.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))) alpha)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)) alpha)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha))))
(/.f64 (neg.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha)))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha))
(*.f64 (/.f64 (neg.f64 (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) alpha))

simplify472.0ms (4.1%)

Memory
-2.5MiB live, 694.5MiB allocated
Algorithm
egg-herbie
Rules
9 196×accelerator-lowering-fma.f32
9 196×accelerator-lowering-fma.f64
4 924×+-lowering-+.f64
4 924×+-lowering-+.f32
4 582×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05643440
116963347
247553237
083972996
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(/ 1/2 (+ 2 alpha))
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))
(/ 1/2 beta)
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)
(/ 1/2 beta)
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))
(/ 1/2 (+ 2 beta))
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))
(/ 1/2 alpha)
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)
(/ 1/2 alpha)
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* -1/8 (pow beta 2))
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))
1/4
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* -1/8 beta))
(+ 1/4 (* -1/8 beta))
(* -1/8 beta)
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* beta (- (* 1/4 (/ 1 beta)) 1/8))
(* -1/8 beta)
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(/ -2 alpha)
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -2 (/ beta alpha))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
(/ (- (* -2 beta) 2) alpha)
Outputs
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))
(fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta))) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta))) beta)) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))
(fma.f64 alpha (fma.f64 alpha (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (*.f64 alpha alpha)))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) alpha)
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (*.f64 alpha alpha)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
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(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta))))
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta))))
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)
(/ (- (* -2 beta) 2) alpha)
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)

eval199.0ms (1.7%)

Memory
29.6MiB live, 183.9MiB allocated
Compiler

Compiled 25 008 to 2 979 computations (88.1% saved)

prune208.0ms (1.8%)

Memory
2.0MiB live, 159.8MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New93814952
Fresh4610
Picked235
Done022
Total94425969
Accuracy
100.0%
Counts
969 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
47.6%
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
4.2%
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
46.0%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.9%
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
46.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
47.2%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
46.4%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
71.7%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
48.6%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
3.6%
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
30.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
30.4%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
44.3%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
47.8%
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))
31.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
29.8%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha)
25.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
15.5%
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha)
26.6%
(/.f64 #s(literal 1 binary64) alpha)
30.9%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
37.2%
#s(literal 1 binary64)
48.3%
#s(literal 1/2 binary64)
Compiler

Compiled 681 to 416 computations (38.9% saved)

simplify502.0ms (4.4%)

Memory
-41.7MiB live, 381.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 beta alpha)
cost-diff0
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64))
cost-diff704
(-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
cost-diff768
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
(/.f64 #s(literal 1/2 binary64) alpha)
cost-diff0
(+.f64 beta beta)
cost-diff0
(+.f64 #s(literal 2 binary64) (+.f64 beta beta))
cost-diff512
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
cost-diff0
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
cost-diff0
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
cost-diff384
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
cost-diff0
(+.f64 beta #s(literal 2 binary64))
cost-diff0
(-.f64 beta alpha)
cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
cost-diff0
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Rules
16 240×accelerator-lowering-fma.f32
16 240×accelerator-lowering-fma.f64
3 106×*-lowering-*.f32
3 106×*-lowering-*.f64
2 020×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033115
176115
2165115
3430107
4989107
53367105
66489105
0809299
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
beta
alpha
(+ beta 2)
2
1/2
(+ (* -1/2 1) 1/2)
-1/2
1
1/2
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2)
alpha
(+ (* alpha 1/8) -1/4)
1/8
-1/4
1/2
(* (+ 2 (+ beta beta)) (/ 1/2 alpha))
(+ 2 (+ beta beta))
2
(+ beta beta)
beta
(/ 1/2 alpha)
1/2
alpha
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2)
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha))
(+ (/ beta alpha) -1)
(/ beta alpha)
beta
alpha
-1
(/ (- -2 beta) alpha)
(- -2 beta)
-2
1/2
Outputs
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/ (- beta alpha) (+ beta 2))
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* -1/2 1) 1/2)
#s(literal 0 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
alpha
(+ (* alpha 1/8) -1/4)
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
1/8
#s(literal 1/8 binary64)
-1/4
#s(literal -1/4 binary64)
1/2
#s(literal 1/2 binary64)
(* (+ 2 (+ beta beta)) (/ 1/2 alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+ 2 (+ beta beta))
(fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ beta beta)
(+.f64 beta beta)
beta
(/ 1/2 alpha)
(/.f64 #s(literal 1/2 binary64) alpha)
1/2
#s(literal 1/2 binary64)
alpha
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha))
(fma.f64 (/.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64))
(+ (/ beta alpha) -1)
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64))
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
-1
#s(literal -1 binary64)
(/ (- -2 beta) alpha)
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)

localize118.0ms (1%)

Memory
-0.8MiB live, 78.8MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64))
accuracy100.0%
(-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
accuracy100.0%
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
accuracy72.9%
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1/2 binary64) alpha)
accuracy100.0%
(+.f64 beta beta)
accuracy100.0%
(+.f64 #s(literal 2 binary64) (+.f64 beta beta))
accuracy99.9%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
accuracy100.0%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64))
accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(-.f64 beta alpha)
accuracy100.0%
(+.f64 beta #s(literal 2 binary64))
accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
Samples
59.0ms184×0valid
18.0ms53×1valid
9.0ms19×2valid
Compiler

Compiled 121 to 34 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-add: 12.0ms (30.7% of total)
ival-mult: 10.0ms (25.6% of total)
ival-div: 8.0ms (20.5% of total)
ival-sub: 5.0ms (12.8% of total)
adjust: 3.0ms (7.7% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#<alt (+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)>
#<alt (/ (- beta alpha) (+ beta 2))>
#<alt (- beta alpha)>
#<alt (+ beta 2)>
#<alt (+ (* -1/2 1) 1/2)>
#<alt (+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2)>
#<alt (+ (* alpha 1/8) -1/4)>
#<alt (* (+ 2 (+ beta beta)) (/ 1/2 alpha))>
#<alt (+ 2 (+ beta beta))>
#<alt (+ beta beta)>
#<alt (/ 1/2 alpha)>
#<alt (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2)>
#<alt (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha))>
#<alt (+ (/ beta alpha) -1)>
#<alt (/ beta alpha)>
#<alt (/ (- -2 beta) alpha)>
Outputs
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))>
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))>
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1/2 alpha)>
#<alt (+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (* 1/8 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))>
#<alt (* 1/8 (pow alpha 2))>
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))>
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))>
#<alt -1/4>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (- (* 1/8 alpha) 1/4)>
#<alt (* 1/8 alpha)>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))>
#<alt (* 1/8 alpha)>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt 2>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (+ 2 (* 2 beta))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* 2 beta)>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (* 2 beta)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (/ 1/2 alpha)>
#<alt (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1)))>
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))>
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))>
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))>
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))>
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)>
#<alt (* 2 (/ beta alpha))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* 2 (/ beta alpha))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))>
#<alt (/ (- beta (* -1 (+ 2 beta))) alpha)>
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)>
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)>
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt -1>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt (/ beta alpha)>
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))>
#<alt (/ beta alpha)>
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 alpha)) alpha)>
#<alt (/ (+ beta (* -1 alpha)) alpha)>
#<alt (/ (+ beta (* -1 alpha)) alpha)>
#<alt -1>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt -1>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt (- (/ beta alpha) 1)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ -2 alpha)>
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (* -1 (/ beta alpha))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (/ beta alpha))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 beta) alpha))>
Calls

72 calls:

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

rewrite498.0ms (4.3%)

Memory
10.5MiB live, 483.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 346×*-lowering-*.f32
5 346×*-lowering-*.f64
3 820×/-lowering-/.f32
3 820×/-lowering-/.f64
2 414×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03396
122196
2210182
0913177
Stop Event
iter limit
node limit
Counts
16 → 609
Calls
Call 1
Inputs
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
(+ beta 2)
(+ (* -1/2 1) 1/2)
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2)
(+ (* alpha 1/8) -1/4)
(* (+ 2 (+ beta beta)) (/ 1/2 alpha))
(+ 2 (+ beta beta))
(+ beta beta)
(/ 1/2 alpha)
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2)
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha))
(+ (/ beta alpha) -1)
(/ beta alpha)
(/ (- -2 beta) alpha)
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (fma.f64 beta beta #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 alpha beta)) (*.f64 alpha #s(literal 1 binary64)))) (neg.f64 (*.f64 alpha (/.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 alpha (-.f64 #s(literal 0 binary64) beta)))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal -2 binary64)) alpha)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 beta #s(literal -2 binary64))))
(pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) beta))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))))

simplify439.0ms (3.8%)

Memory
-0.2MiB live, 788.7MiB allocated
Algorithm
egg-herbie
Rules
12 556×accelerator-lowering-fma.f32
12 556×accelerator-lowering-fma.f64
4 462×*-lowering-*.f32
4 462×*-lowering-*.f64
2 830×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412094
17422025
221501781
369491779
081231669
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1/2 alpha)
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(* -1 (/ alpha (+ 2 beta)))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))
(* 1/8 (pow alpha 2))
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))
-1/4
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(- (* 1/8 alpha) 1/4)
(* 1/8 alpha)
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* alpha (- 1/8 (* 1/4 (/ 1 alpha))))
(* 1/8 alpha)
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
2
(+ 2 (* 2 beta))
(+ 2 (* 2 beta))
(+ 2 (* 2 beta))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* 2 beta)
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* beta (+ 2 (* 2 (/ 1 beta))))
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(* 2 beta)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(/ 1/2 alpha)
(+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1)))
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))
(/ beta alpha)
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))
(/ beta alpha)
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(- (* 2 (/ 1 alpha)) 1)
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)
(* 2 (/ beta alpha))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))
(* 2 (/ beta alpha))
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))
(/ (- beta (* -1 (+ 2 beta))) alpha)
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
-1
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
(/ beta alpha)
(* beta (- (/ 1 alpha) (/ 1 beta)))
(* beta (- (/ 1 alpha) (/ 1 beta)))
(* beta (- (/ 1 alpha) (/ 1 beta)))
(/ beta alpha)
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(/ beta alpha)
(/ (+ beta (* -1 alpha)) alpha)
(/ (+ beta (* -1 alpha)) alpha)
(/ (+ beta (* -1 alpha)) alpha)
-1
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
-1
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
(- (/ beta alpha) 1)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ -2 alpha)
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(* -1 (/ beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (/ beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
Outputs
(+ 1/2 (* -1/4 alpha))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))
(fma.f64 #s(literal -1/4 binary64) alpha (fma.f64 beta (fma.f64 alpha #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))
(fma.f64 #s(literal -1/4 binary64) alpha (fma.f64 (*.f64 beta (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))
(fma.f64 beta (fma.f64 (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) beta) (fma.f64 alpha #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))
(+.f64 (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) beta) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 beta beta)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta))
(+ 1/2 (* 1/2 (/ beta (+ 2 beta))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.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 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.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 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.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 (/ alpha (+ 2 beta)))
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(-.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(-.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
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(/.f64 (+.f64 beta (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))
-1
#s(literal -1 binary64)
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
(* beta (- (/ 1 alpha) (/ 1 beta)))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(* beta (- (/ 1 alpha) (/ 1 beta)))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(* beta (- (/ 1 alpha) (/ 1 beta)))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* -1 alpha)) alpha)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ (+ beta (* -1 alpha)) alpha)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ (+ beta (* -1 alpha)) alpha)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
-1
#s(literal -1 binary64)
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
-1
#s(literal -1 binary64)
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(- (/ beta alpha) 1)
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ beta alpha)
(/.f64 beta alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ beta alpha))
(-.f64 #s(literal 0 binary64) (/.f64 beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ beta alpha))
(-.f64 #s(literal 0 binary64) (/.f64 beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(* -1 (/ (+ 2 beta) alpha))
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)

eval124.0ms (1.1%)

Memory
22.4MiB live, 367.3MiB allocated
Compiler

Compiled 23 375 to 2 547 computations (89.1% saved)

prune384.0ms (3.3%)

Memory
-147.9MiB live, 377.0MiB allocated
Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New8943897
Fresh01515
Picked235
Done055
Total89626922
Accuracy
100.0%
Counts
922 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
47.6%
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
4.2%
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
46.0%
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
43.9%
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
44.9%
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
46.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
47.2%
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
46.4%
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
71.7%
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
48.6%
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
30.0%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
30.4%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
44.3%
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
47.8%
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))
31.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
29.8%
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha)
25.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
15.5%
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha)
8.4%
(/.f64 beta alpha)
26.6%
(/.f64 #s(literal 1 binary64) alpha)
30.9%
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
37.2%
#s(literal 1 binary64)
48.3%
#s(literal 1/2 binary64)
3.6%
#s(literal 0 binary64)
Compiler

Compiled 887 to 377 computations (57.5% saved)

regimes58.0ms (0.5%)

Memory
24.9MiB live, 184.3MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

13.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
11.0ms
beta
11.0ms
alpha
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.7%2alpha
72.9%1beta
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
7.7MiB live, 89.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory
-52.4MiB live, 84.1MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
2.8MiB live, 81.7MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha)
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Calls

3 calls:

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

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
28.7MiB live, 28.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

7.0ms
alpha
Results
AccuracySegmentsBranch
95.6%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-3.3MiB live, 35.6MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

8.0ms
alpha
Results
AccuracySegmentsBranch
95.6%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-17.8MiB live, 22.5MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
Outputs
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

8.0ms
alpha
Results
AccuracySegmentsBranch
94.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

6.0ms
alpha
Results
AccuracySegmentsBranch
94.7%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-21.1MiB live, 17.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

6.0ms
alpha
Results
AccuracySegmentsBranch
75.6%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
Outputs
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

5.0ms
alpha
Results
AccuracySegmentsBranch
75.1%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-19.5MiB live, 19.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
Outputs
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

5.0ms
alpha
Results
AccuracySegmentsBranch
75.0%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

2 calls:

4.0ms
alpha
4.0ms
beta
Results
AccuracySegmentsBranch
71.3%2beta
70.4%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-20.6MiB live, 18.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

5.0ms
beta
Results
AccuracySegmentsBranch
71.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
70.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

2.0ms
beta
2.0ms
alpha
Results
AccuracySegmentsBranch
48.3%1alpha
48.3%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
-34.3MiB live, 9.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
alpha
1.0ms
beta
Results
AccuracySegmentsBranch
3.6%1alpha
3.6%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999842459405
-0.999488196246162
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999842459405
-0.999488196246162
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999842459405
-0.999488196246162
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999842459405
-0.999488196246162
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch15.0ms (0.1%)

Memory
5.0MiB live, 44.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3905.747813497277
8270964472.397584
Samples
9.0ms144×0valid
Compiler

Compiled 225 to 159 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.7% of total)
ival-add: 2.0ms (38.7% of total)
ival-sub: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
5.4MiB live, 44.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3905.747813497277
8270964472.397584
Samples
8.0ms144×0valid
Compiler

Compiled 225 to 159 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (44.7% of total)
ival-add: 2.0ms (44.7% of total)
ival-sub: 1.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
-2.4MiB live, 36.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
9.187448864998092e-5
14.544240659215912
Samples
9.0ms144×0valid
Compiler

Compiled 207 to 150 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.9% of total)
ival-add: 2.0ms (43.9% of total)
ival-sub: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
0.6MiB live, 42.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
9.187448864998092e-5
14.544240659215912
Samples
8.0ms144×0valid
Compiler

Compiled 189 to 141 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.1% of total)
ival-add: 2.0ms (45.1% of total)
ival-sub: 1.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
6.2MiB live, 44.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
3905.747813497277
8270964472.397584
Samples
9.0ms144×0valid
Compiler

Compiled 189 to 150 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (36.6% of total)
ival-div: 2.0ms (36.6% of total)
ival-add: 2.0ms (36.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
6.3MiB live, 45.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
9.187448864998092e-5
14.544240659215912
Samples
8.0ms144×0valid
Compiler

Compiled 207 to 159 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (42.8% of total)
ival-add: 2.0ms (42.8% of total)
ival-sub: 1.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
8.5MiB live, 47.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
9.187448864998092e-5
14.544240659215912
Samples
9.0ms144×0valid
Compiler

Compiled 180 to 141 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (36.9% of total)
ival-div: 2.0ms (36.9% of total)
ival-add: 2.0ms (36.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-33.8MiB live, 49.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.05410043213675381
26419071.05885278
Samples
6.0ms102×0valid
4.0ms34×1valid
1.0ms2valid
Compiler

Compiled 144 to 123 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (29.3% of total)
ival-add: 2.0ms (29.3% of total)
adjust: 1.0ms (14.6% of total)
ival-sub: 1.0ms (14.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
19.1MiB live, 58.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
0.05410043213675381
26419071.05885278
Samples
5.0ms91×0valid
4.0ms39×1valid
2.0ms14×2valid
Compiler

Compiled 117 to 105 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (40% of total)
ival-add: 3.0ms (40% of total)
adjust: 1.0ms (13.3% of total)
ival-sub: 1.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
4.0MiB live, 43.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
686842884226585.0
85822180643686780.0
Samples
4.0ms76×0valid
3.0ms28×1valid
1.0ms2valid
Compiler

Compiled 74 to 71 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.1% of total)
ival-add: 2.0ms (35.1% of total)
adjust: 1.0ms (17.6% of total)
ival-sub: 1.0ms (17.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory
-3.2MiB live, 39.4MiB allocated
Algorithm
egg-herbie
Rules
20×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097314
1111314
2114314
3116314
4117314
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 700000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 700000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

soundness1.4s (12.4%)

Memory
22.9MiB live, 1 298.2MiB allocated
Rules
9 688×accelerator-lowering-fma.f32
9 688×accelerator-lowering-fma.f64
9 196×accelerator-lowering-fma.f32
9 196×accelerator-lowering-fma.f64
6 798×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05643440
116963347
247553237
083972996
028163
1219157
22008157
08876152
04332500
113942354
245632155
086422014
01044
18544
274244
0904343
03396
122196
2210182
0913177
0146414761
1473814378
0907313376
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 734 to 394 computations (46.3% saved)

preprocess129.0ms (1.1%)

Memory
-11.3MiB live, 225.6MiB allocated
Compiler

Compiled 662 to 208 computations (68.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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