Octave 3.8, jcobi/1

Time bar (total: 10.4s)

analyze4.0ms (0%)

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

Compiled 22 to 14 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (55% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (13.6%)

Results
599.0ms6065×0valid
392.0ms1831×1valid
99.0ms360×2valid
Precisions
Click to see histograms. Total time spent on operations: 654.0ms
ival-div: 203.0ms (31% of total)
ival-add: 167.0ms (25.5% of total)
ival-sub: 113.0ms (17.3% of total)
ival->: 82.0ms (12.5% of total)
backward-pass: 61.0ms (9.3% of total)
const: 17.0ms (2.6% of total)
ival-and: 10.0ms (1.5% of total)
Bogosity

preprocess241.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
1988×sum3-define
1844×sum5-define
1648×fmsub-define
1634×sum5-define
1506×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
03280
19178
220278
360876
4176476
5548376
01012
12312
24112
37412
414212
535512
694312
7178211
8381311
9762511
0802911
Stop Event
1×iter limit
1×node limit
1×node limit
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 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
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)
(/ (+ (/ (- beta alpha) (sum3 beta alpha 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ (/ (+ beta alpha) (* 2 (sum3 beta 2 (neg alpha)))) 1/2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ (/ (+ beta alpha) (+ -4 (* 2 (- beta alpha)))) 1/2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (* 2 (sum3 alpha (neg beta) -2))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ 4 (* 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ (/ (/ (- alpha beta) (sum3 beta alpha 2)) 2) 1/2)

explain146.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
770-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-(-.f64 beta alpha)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-alpha
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-#s(literal 1 binary64)
00-0-(+.f64 alpha beta)
00-0-beta
Results
45.0ms364×0valid
40.0ms128×1valid
8.0ms20×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 11.0ms (33% of total)
ival-div: 9.0ms (27% of total)
backward-pass: 7.0ms (21% of total)
ival-sub: 5.0ms (15% of total)
const: 1.0ms (3% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.6%
(/.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)

simplify169.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
1844×sum5-define
1648×fmsub-define
1506×fmm-def
1298×fma-lowering-fma.f32
1298×fma-lowering-fma.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01044
12344
24144
37444
414244
535544
694344
7178243
8381343
9762543
0802943
Stop Event
1×iter limit
1×node limit
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 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(+ (/ (- 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)

localize63.0ms (0.6%)

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)))
✓accuracy72.6%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
26.0ms64×1valid
21.0ms182×0valid
4.0ms10×2valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 5.0ms (29.7% of total)
ival-div: 4.0ms (23.8% of total)
ival-sub: 4.0ms (23.8% of total)
backward-pass: 3.0ms (17.8% of total)
const: 1.0ms (5.9% of total)

series15.0ms (0.1%)

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
3.0ms
beta
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@-inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite383.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4146×/-lowering-/.f32
4146×/-lowering-/.f64
3826×*-lowering-*.f32
3826×*-lowering-*.f64
1982×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
18640
278040
0852040
Stop Event
1×iter limit
1×node limit
Counts
6 → 337
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
(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 -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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 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)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 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 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.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 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.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 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #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) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 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 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 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 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.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 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.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 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.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) (+.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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (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 #s(literal 0 binary64) (/.f64 alpha (+.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 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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #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 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 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 (+.f64 (-.f64 #s(literal 0 binary64) beta) alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 beta (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 (+.f64 beta 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 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (+.f64 (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (*.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))) (+.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 (*.f64 beta beta) (-.f64 alpha beta))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))))
(*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha alpha) (*.f64 beta alpha)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)))
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(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) (-.f64 alpha beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 alpha beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 beta alpha) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
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(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.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 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(/.f64 (+.f64 (*.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 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 beta (*.f64 beta beta))) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(*.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(*.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
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(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(*.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha 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))))

simplify346.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
2810×+-lowering-+.f64
2810×+-lowering-+.f32
2660×*-lowering-*.f32
2660×*-lowering-*.f64
1798×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04332427
115182169
256322118
081502118
Stop Event
1×iter limit
1×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 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.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))))))))
(+ (* 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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) 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 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
(+ (* 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)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (*.f64 (+.f64 alpha #s(literal 2 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 #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta beta)))
(+ 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))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta (*.f64 beta beta))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) 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 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) 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)))
(-.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 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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)))))
(+ (* 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)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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 alpha (*.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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* 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))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) 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 alpha (+.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 alpha #s(literal -1/2 binary64))) (*.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 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) 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)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) 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))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 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)))))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) 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 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (*.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 beta (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (*.f64 (+.f64 alpha #s(literal 2 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 #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 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))))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 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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(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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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))))
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(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) 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 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -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))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 alpha (*.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 beta (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.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 alpha (*.f64 (+.f64 alpha #s(literal 2 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 #s(literal 2 binary64))))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta beta)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) 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)))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 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)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* 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)))
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -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)
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(* -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 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.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)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.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))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))

eval70.0ms (0.7%)

Compiler

Compiled 15556 to 2040 computations (86.9% saved)

prune80.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New46714481
Fresh000
Picked011
Done000
Total46715482
Accuracy
99.9%
Counts
482 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.3%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
72.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 2 binary64))
▶73.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
▶26.2%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
29.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶71.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
72.6%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
28.1%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
31.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
50.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))
31.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
▶33.9%
#s(literal 1 binary64)
Compiler

Compiled 615 to 332 computations (46% saved)

simplify258.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓cost-diff256
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff384
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓cost-diff384
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
Rules
3350×*-lowering-*.f32
3350×*-lowering-*.f64
1894×fma-lowering-fma.f32
1894×fma-lowering-fma.f64
1762×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033301
181247
2214241
3739235
43289235
08693235
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(/ beta (+ beta (+ alpha 2)))
beta
(+ beta (+ alpha 2))
(+ alpha 2)
alpha
2
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ alpha (+ beta (+ alpha 2)))
-1
1
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))))
1
(/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))
(- beta alpha)
beta
alpha
(/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))
(+ beta (+ alpha 2))
(+ alpha 2)
2
(/ (- beta alpha) (+ beta (+ alpha 2)))
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(- -2 (+ beta alpha))
-2
(+ beta alpha)
Outputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ beta (+ beta (+ alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/ alpha (+ beta (+ alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 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
#s(literal 1 binary64)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(- 2 (/ (+ 2 (* alpha 2)) beta))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
(+ 2 (* alpha 2))
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
(* alpha 2)
(*.f64 alpha #s(literal 2 binary64))
alpha
beta
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
1
#s(literal 1 binary64)
(/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))
(*.f64 (-.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.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)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(- -2 (+ beta alpha))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
-2
#s(literal -2 binary64)
(+ beta alpha)
(+.f64 beta alpha)

localize299.0ms (2.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy99.9%
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
✓accuracy78.2%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
✓accuracy50.9%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy72.6%
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
Results
119.0ms112×1valid
87.0ms123×0valid
32.0ms21×2valid
Compiler

Compiled 316 to 34 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-div: 45.0ms (48% of total)
ival-add: 19.0ms (20.3% of total)
backward-pass: 16.0ms (17.1% of total)
ival-sub: 10.0ms (10.7% of total)
ival-mult: 3.0ms (3.2% of total)
const: 1.0ms (1.1% of total)

series109.0ms (1%)

Counts
21 → 432
Calls
Call 1
Inputs
#<alt (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)>
#<alt (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))>
#<alt (/ beta (+ beta (+ alpha 2)))>
#<alt (+ beta (+ alpha 2))>
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)>
#<alt (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))>
#<alt (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))))>
#<alt (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))>
#<alt (+ (/ alpha (+ beta (+ alpha 2))) -1)>
#<alt (/ alpha (+ beta (+ alpha 2)))>
#<alt (* alpha 2)>
#<alt (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))>
#<alt (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 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)))))>
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#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)>
#<alt (/ (- alpha (* -1 (+ 2 alpha))) beta)>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))>
#<alt (+ 1 (* -1 (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))>
#<alt (+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))>
#<alt (* -1 (/ (pow (+ 2 alpha) 2) alpha))>
#<alt (+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))>
#<alt (+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha)))) (* -1 (/ (+ 4 (* 2 alpha)) alpha))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))>
#<alt (+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (* beta (- (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) (pow alpha 2))) (/ 1 (pow alpha 2))))) (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha))))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))>
#<alt beta>
#<alt (* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) (* -1 (/ alpha beta))))>
#<alt (* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))>
#<alt (* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* alpha (- (pow (+ 2 alpha) 2) (* -1 (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha)))))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) (+ 1 (/ alpha beta)))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) beta)) (/ (* alpha (- (* -2 (+ 2 alpha)) alpha)) beta)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (* -1 (/ (+ (* -1 (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) (* -1 (/ (* alpha (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) beta))) beta))) beta)) 1)))>
#<alt (/ (pow (+ 2 beta) 2) beta)>
#<alt (+ (* alpha (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))>
#<alt (+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))>
#<alt (+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))) beta)) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ 1 (/ beta alpha))))>
#<alt (* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))>
#<alt (* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (/ (* beta (- (* -1 (pow (+ 2 beta) 2)) (* -1 (* beta (- (* -1 (+ 4 (* 2 beta))) beta))))) (pow alpha 3)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (* -2 (+ 2 beta)) beta) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (/ (* beta (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta)))) alpha) (pow (+ 2 beta) 2)) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))>
Calls

108 calls:

TimeVariablePointExpression
26.0ms
alpha
@-inf
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
6.0ms
beta
@0
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
4.0ms
alpha
@0
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
3.0ms
beta
@-inf
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
3.0ms
beta
@inf
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)

rewrite492.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
2958×*-lowering-*.f32
2958×*-lowering-*.f64
2628×fma-lowering-fma.f32
2628×fma-lowering-fma.f64
1990×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033245
1290167
23287162
08388162
Stop Event
1×iter limit
1×node limit
Counts
21 → 641
Calls
Call 1
Inputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(/ beta (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(/ (/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(- 1 (/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))))
(/ (- beta alpha) (/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2)))))
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ alpha (+ beta (+ alpha 2)))
(* alpha 2)
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(/ (+ beta (+ alpha 2)) (/ (- beta alpha) (+ beta (+ alpha 2))))
Outputs
(+.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 beta (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 beta (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))) #s(literal 1/8 binary64))) (+.f64 (*.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) beta)) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 (+.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 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 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 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))
(+.f64 (/.f64 beta (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (/.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha))) (fma.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha)))
(+.f64 (fma.f64 beta (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (fma.f64 beta (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 alpha #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha))) (fma.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha)))
(+.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 alpha #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 alpha #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (neg.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha))) (fma.f64 (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) alpha)))
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(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
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(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.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 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
(fma.f64 (/.f64 (+.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 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 alpha #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) beta))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal 2 binary64)))
(+.f64 (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(fma.f64 beta (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(fma.f64 (+.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))))
(fma.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) beta (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 alpha #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 alpha #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) beta))
(fma.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 beta alpha))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta alpha) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))

simplify651.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
4612×*-lowering-*.f32
4612×*-lowering-*.f64
3780×+-lowering-+.f64
3780×+-lowering-+.f32
2350×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0177519990
1634018527
0822818527
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(* -1 (/ (- (+ (* -2 (+ 2 alpha)) (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (+ (* -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))))))) (* (pow (+ 2 alpha) 2) (- (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 (+ 2 alpha) 2))) (pow alpha 2)) beta))) (* 2 alpha)) beta))
(- 1 (/ (pow beta 2) (pow (+ 2 beta) 2)))
(- (+ 1 (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(- (+ 1 (* alpha (- (+ (* alpha (- (+ (/ (* (+ 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))) (/ 1 (pow (+ 2 beta) 2)))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(- (+ 1 (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (* -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))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)))) (+ (/ (* (+ 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)))) (/ 1 (pow (+ 2 beta) 2)))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(/ (- (+ 4 (* 2 beta)) (* -2 beta)) alpha)
(/ (- (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha)))) (+ (* -2 beta) (/ (pow beta 2) alpha))) 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)))))) (+ (* -2 beta) (/ (pow beta 2) alpha))) alpha)
(/ (- (+ 4 (+ (* -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 alpha 3))) (+ (* 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) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 3)) (/ (pow (+ 2 beta) 2) alpha)))))))) (+ (* -2 beta) (/ (pow beta 2) alpha))) alpha)
(* -1 (/ (- (* -2 (+ 2 beta)) (* 2 beta)) alpha))
(* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)) (pow beta 2)) alpha))) (* 2 beta)) alpha))
(* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (+ (* -1 (/ (+ (* -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)) alpha))) (* 2 beta)) alpha))
(* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* -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))))))) (* (pow (+ 2 beta) 2) (- (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 (+ 2 beta) 2))) (pow beta 2)) alpha))) (* 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)))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(+ 1 (/ alpha (+ 2 alpha)))
(+ 1 (+ (* -1 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))))
(+ 1 (+ (* beta (+ (* -1 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (/ alpha (+ 2 alpha))))
(+ 1 (+ (* beta (+ (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* -1 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))) (/ alpha (+ 2 alpha))))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)
(/ (- alpha (* -1 (+ 2 alpha))) beta)
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ beta (+ 2 beta))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))
(* -1 (/ (pow (+ 2 alpha) 2) alpha))
(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha)))) (* -1 (/ (+ 4 (* 2 alpha)) alpha))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (* beta (- (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) (pow alpha 2))) (/ 1 (pow alpha 2))))) (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha))))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
beta
(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) (* -1 (/ alpha beta))))
(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))
(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* alpha (- (pow (+ 2 alpha) 2) (* -1 (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha)))))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))
beta
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) (+ 1 (/ alpha beta)))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) beta)) (/ (* alpha (- (* -2 (+ 2 alpha)) alpha)) beta)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (* -1 (/ (+ (* -1 (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) (* -1 (/ (* alpha (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) beta))) beta))) beta)) 1)))
(/ (pow (+ 2 beta) 2) beta)
(+ (* alpha (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))) beta)) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(* -1 alpha)
(* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ 1 (/ beta alpha))))
(* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))
(* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (/ (* beta (- (* -1 (pow (+ 2 beta) 2)) (* -1 (* beta (- (* -1 (+ 4 (* 2 beta))) beta))))) (pow alpha 3)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -2 (+ 2 beta)) beta) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (/ (* beta (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta)))) alpha) (pow (+ 2 beta) 2)) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 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 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)))))))
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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha))) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (+.f64 (+.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))) (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 (*.f64 (*.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 #s(literal -1 binary64) alpha)) (+.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha))))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 beta) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 #s(literal 2 binary64) beta))) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (+.f64 (*.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) (+.f64 #s(literal 2 binary64) 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))
(neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha))
(/ beta (+ 2 alpha))
(/.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (-.f64 (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (-.f64 (*.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))))) (neg.f64 (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) beta))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))))) (+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (+.f64 alpha #s(literal 2 binary64)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) beta) (+.f64 alpha #s(literal 2 binary64)))) beta)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (neg.f64 (/.f64 (*.f64 alpha beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (+.f64 beta (neg.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (+.f64 beta (-.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (+.f64 beta (-.f64 (neg.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (*.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 #s(literal -1 binary64) alpha))))) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(neg.f64 (/.f64 (+.f64 (neg.f64 beta) (*.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (*.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(neg.f64 (/.f64 (-.f64 (neg.f64 beta) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha)) (*.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 alpha)) beta) #s(literal -1 binary64)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (neg.f64 alpha) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta (+.f64 (*.f64 beta #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) beta)))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta beta))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))) beta)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (*.f64 beta #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) beta)) beta))) beta)))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (*.f64 beta #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (*.f64 beta (+.f64 #s(literal 1/8 binary64) (*.f64 beta #s(literal -1/16 binary64)))) #s(literal -1/4 binary64)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (/.f64 #s(literal 2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
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1
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(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
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(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
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(neg.f64 (/.f64 (+.f64 (neg.f64 alpha) (/.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) beta)) beta))
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(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
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(* 2 alpha)
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(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
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(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)
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(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)
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(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)
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(/ (- alpha (* -1 (+ 2 alpha))) beta)
(/.f64 (+.f64 alpha (*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) beta)
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))
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(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))
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(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
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(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
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(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
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(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
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(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))
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(* -1 (/ (pow (+ 2 alpha) 2) alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) alpha))
(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
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(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha)))) (* -1 (/ (+ 4 (* 2 alpha)) alpha))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
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(+ (* -1 (/ (pow (+ 2 alpha) 2) alpha)) (* beta (- (+ (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (* beta (- (* -1 (* beta (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) (pow alpha 2))) (/ 1 (pow alpha 2))))) (+ (* -1 (/ (- (* -1 (/ (+ 4 (* 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) (pow alpha 2))) alpha)) (/ 1 alpha))))) (/ (pow (+ 2 alpha) 2) (pow alpha 2)))))
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beta
(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) (* -1 (/ alpha beta))))
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(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))
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(* beta (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* alpha (- (pow (+ 2 alpha) 2) (* -1 (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha)))))) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 4 (* 2 alpha)) (* -1 alpha))) (pow beta 2))))))
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beta
(* -1 (* beta (- (* -2 (/ (+ 2 alpha) beta)) (+ 1 (/ alpha beta)))))
(*.f64 (neg.f64 beta) (-.f64 (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) beta) (+.f64 #s(literal 1 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (/ (pow (+ 2 alpha) 2) beta)) (/ (* alpha (- (* -2 (+ 2 alpha)) alpha)) beta)) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha))) beta)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (- (* -2 (+ 2 alpha)) alpha)) (* -1 (/ (+ (* -1 (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) (* -1 (/ (* alpha (- (pow (+ 2 alpha) 2) (* alpha (- (* -2 (+ 2 alpha)) alpha)))) beta))) beta))) beta)) 1)))
(*.f64 (neg.f64 beta) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)) (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)))) (/.f64 (*.f64 alpha (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)))) beta)) beta)) beta)) #s(literal -1 binary64)))
(/ (pow (+ 2 beta) 2) beta)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) beta)
(+ (* alpha (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) beta) (*.f64 alpha (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) beta) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta)))))))
(+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) beta) (*.f64 alpha (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) beta) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta))))) beta))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta))))))
(+ (* alpha (- (+ 2 (+ (* 4 (/ 1 beta)) (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))) beta)) (* -1 (/ (- (+ 2 (* 4 (/ 1 beta))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2)))) beta)))))) (* -1 (/ (pow (+ 2 beta) 2) (pow beta 2))))) (/ (pow (+ 2 beta) 2) beta))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) beta) (*.f64 alpha (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) beta) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta))))) beta)))) beta) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) beta) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta))))) beta)))))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta beta)))))))
(* -1 alpha)
(neg.f64 alpha)
(* alpha (- (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ 1 (/ beta alpha))))
(*.f64 alpha (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))
(*.f64 alpha (-.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (neg.f64 beta) (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64))) beta)) (*.f64 alpha alpha))))))
(* alpha (- (+ (* -1 (/ (+ 4 (* 2 beta)) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (/ (* beta (- (* -1 (pow (+ 2 beta) 2)) (* -1 (* beta (- (* -1 (+ 4 (* 2 beta))) beta))))) (pow alpha 3)))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 4 (* 2 beta))) beta)) (pow alpha 2))) (/ beta alpha)))))
(*.f64 alpha (-.f64 (+.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (*.f64 beta (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64))) beta)))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (neg.f64 beta) (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal -1 binary64))) beta)) (*.f64 alpha alpha))))))
(* -1 alpha)
(neg.f64 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- (* -2 (+ 2 beta)) beta) alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) beta) alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) beta))) alpha)) beta)) alpha)))
(* -1 (* alpha (+ 1 (* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (/ (* beta (- (pow (+ 2 beta) 2) (* beta (- (* -2 (+ 2 beta)) beta)))) alpha) (pow (+ 2 beta) 2)) (* beta (- (* -2 (+ 2 beta)) beta))) alpha))) beta) alpha)))))
(*.f64 (neg.f64 alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) beta)))) alpha) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (-.f64 (+.f64 #s(literal -4 binary64) (*.f64 beta #s(literal -2 binary64))) beta)))) alpha)) beta) alpha))))

eval344.0ms (3.3%)

Compiler

Compiled 60962 to 5264 computations (91.4% saved)

prune182.0ms (1.7%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New122481232
Fresh369
Picked235
Done011
Total1229181247
Accuracy
99.9%
Counts
1247 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
▶49.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
✓73.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
31.5%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64))
▶29.7%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓71.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶72.6%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
28.1%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
▶31.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
50.3%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64))
26.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
47.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
31.5%
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
✓33.9%
#s(literal 1 binary64)
▶50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 558 to 332 computations (40.5% saved)

simplify396.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓cost-diff768
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
✓cost-diff256
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓cost-diff0
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
3722×+-lowering-+.f64
3722×+-lowering-+.f32
2892×*-lowering-*.f32
2892×*-lowering-*.f64
1608×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024165
161158
2151153
3375151
41024151
53234145
08164145
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
1
(/ (+ beta (+ alpha 2)) (- beta alpha))
(+ beta (+ alpha 2))
beta
(+ alpha 2)
alpha
2
(- beta alpha)
1/2
(/ (+ 1 beta) alpha)
(+ 1 beta)
1
beta
alpha
(/ (- 2 (/ (* alpha 2) beta)) 2)
(- 2 (/ (* alpha 2) beta))
2
(/ (* alpha 2) beta)
(* alpha 2)
alpha
beta
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2))))
(- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2))))
1
(* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
(+ 1 (/ alpha (+ alpha 2)))
Outputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
(+ 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)
1/2
#s(literal 1/2 binary64)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
alpha
(/ (- 2 (/ (* alpha 2) beta)) 2)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(- 2 (/ (* alpha 2) beta))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta))
2
#s(literal 2 binary64)
(/ (* alpha 2) beta)
(/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)
(* alpha 2)
(*.f64 alpha #s(literal 2 binary64))
alpha
beta
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (/.f64 alpha (+.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 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 binary64)
(* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 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 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))

localize207.0ms (2%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy66.8%
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
✓accuracy100.0%
(*.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓accuracy72.6%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
Results
81.0ms80×1valid
56.0ms166×0valid
10.0ms10×2valid
Compiler

Compiled 191 to 25 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 20.0ms (39.7% of total)
ival-add: 12.0ms (23.8% of total)
backward-pass: 7.0ms (13.9% of total)
ival-sub: 6.0ms (11.9% of total)
ival-mult: 5.0ms (9.9% of total)
const: 1.0ms (2% of total)

series63.0ms (0.6%)

Counts
16 → 288
Calls
Call 1
Inputs
#<alt (/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)>
#<alt (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)>
#<alt (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))>
#<alt (/ (+ beta (+ alpha 2)) (- beta alpha))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (+ 1 beta)>
#<alt (/ (- 2 (/ (* alpha 2) beta)) 2)>
#<alt (- 2 (/ (* alpha 2) beta))>
#<alt (/ (* alpha 2) beta)>
#<alt (* alpha 2)>
#<alt (/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2)))) 2)>
#<alt (/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2))))>
#<alt (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2))))>
#<alt (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))>
#<alt (+ alpha 2)>
#<alt (/ alpha (+ alpha 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 (/ (+ 2 alpha) alpha))>
#<alt (+ (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt (+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 4)))))) (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2))))) (* -1 (/ alpha beta)))>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) (pow beta 3))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (+ (* alpha (- (+ 2 alpha) (* -1 alpha))) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) beta)) beta))) beta)))>
#<alt (/ (+ 2 beta) beta)>
#<alt (+ 1 (+ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt (+ 1 (+ (* alpha (- (+ (* alpha (- (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (pow beta 2)) (* -1 (/ (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2)))) beta)))) (/ 1 beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))>
#<alt (- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (/ beta alpha))))>
#<alt -1>
#<alt (- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (/ (* beta (- (+ 2 beta) (* -1 beta))) alpha))) (* -1 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ 2 (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) alpha)) (* beta (- (+ 2 beta) (* -1 beta)))) alpha)))) (* -1 beta)) alpha)) 1)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (/ alpha beta))>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (* -2 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))>
#<alt (* -2 (/ alpha beta))>
#<alt (* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))>
#<alt (* -2 (/ alpha beta))>
#<alt (/ (- (* 2 beta) (* 2 alpha)) beta)>
#<alt (/ (- (* 2 beta) (* 2 alpha)) beta)>
#<alt (/ (- (* 2 beta) (* 2 alpha)) beta)>
#<alt 2>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (+ 2 (* -2 (/ alpha beta)))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 (/ alpha beta))>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<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>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow alpha 2)))>
#<alt (+ 1 (* (pow alpha 2) (- (* 1/4 alpha) 1/4)))>
#<alt (+ 1 (* (pow alpha 2) (- (* alpha (+ 1/4 (* -3/16 alpha))) 1/4)))>
#<alt (/ 4 alpha)>
#<alt (/ (- 4 (* 12 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 4 (/ 32 (pow alpha 2))) (* 12 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 4 (/ 32 (pow alpha 2))) (+ (* 12 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 4 alpha)>
#<alt (* -1 (/ (- (* 12 (/ 1 alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 alpha)) 12) alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 32) alpha)) 12) alpha)) 4) alpha))>
#<alt (* 1/4 (pow alpha 2))>
#<alt (* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 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 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)))>
Calls

72 calls:

TimeVariablePointExpression
22.0ms
alpha
@inf
(/ (+ 1 beta) alpha)
21.0ms
alpha
@-inf
(/ (+ 1 beta) alpha)
6.0ms
alpha
@0
(/ (+ beta (+ alpha 2)) (- beta alpha))
0.0ms
beta
@0
(/ (+ beta (+ alpha 2)) (- beta alpha))
0.0ms
beta
@inf
(/ (+ beta (+ alpha 2)) (- beta alpha))

rewrite393.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3636×/-lowering-/.f32
3636×/-lowering-/.f64
1502×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023133
1202108
21948106
08489106
Stop Event
1×iter limit
1×node limit
Counts
16 → 579
Calls
Call 1
Inputs
(/ (+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1) 2)
(+ (/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha))) 1)
(/ 1 (/ (+ beta (+ alpha 2)) (- beta alpha)))
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/ (+ 1 beta) alpha)
(+ 1 beta)
(/ (- 2 (/ (* alpha 2) beta)) 2)
(- 2 (/ (* alpha 2) beta))
(/ (* alpha 2) beta)
(* alpha 2)
(/ (/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(/ (- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))) (+ 1 (/ alpha (+ alpha 2))))
(- 1 (* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2))))
(* (/ alpha (+ alpha 2)) (/ alpha (+ alpha 2)))
(+ alpha 2)
(/ alpha (+ alpha 2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 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 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #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 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.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) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta 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 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (-.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))))
(/.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 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (+.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 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (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)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))) (neg.f64 (+.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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #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 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(+.f64 (*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))) (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))))
(/.f64 (neg.f64 (*.f64 alpha #s(literal 1 binary64))) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) (neg.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)))))
(pow.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(*.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(*.f64 (/.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))
(*.f64 (/.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
(*.f64 (pow.f64 alpha #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 alpha #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (*.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64)))

simplify289.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4024×+-lowering-+.f64
4024×+-lowering-+.f32
3916×*-lowering-*.f32
3916×*-lowering-*.f64
1618×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07173795
125143280
085023280
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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 (/ (+ 2 alpha) alpha))
(+ (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))) (* -1 (/ (+ 2 alpha) alpha)))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))
(+ (* -1 (/ (+ 2 alpha) alpha)) (* beta (- (* beta (- (* -1 (* beta (+ (* 2 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 4)))))) (+ (* 2 (/ 1 (pow alpha 2))) (* 2 (/ 1 (pow alpha 3)))))) (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (pow alpha 2)))))))
1
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2))))) (* -1 (/ alpha beta)))
(- (+ 1 (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) (pow beta 3))))) (+ (* -1 (/ alpha beta)) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) (pow beta 2)))))
1
(- (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))) (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (* alpha (- (+ 2 alpha) (* -1 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 alpha) (* -1 alpha))) (* -1 (/ (+ (* alpha (- (+ 2 alpha) (* -1 alpha))) (/ (* (pow alpha 2) (- (+ 2 alpha) (* -1 alpha))) beta)) beta))) beta)))
(/ (+ 2 beta) beta)
(+ 1 (+ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (+ (/ 1 beta) (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
(+ 1 (+ (* alpha (- (+ (* alpha (- (/ (* alpha (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2))))) (pow beta 2)) (* -1 (/ (- (/ 1 beta) (* -1 (/ (+ 2 beta) (pow beta 2)))) beta)))) (/ 1 beta)) (* -1 (/ (+ 2 beta) (pow beta 2))))) (* 2 (/ 1 beta))))
-1
(- (* -1 (/ (+ 2 beta) alpha)) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (+ 1 (/ beta alpha)))
(- (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (pow beta 2) (- (* -1 (+ 2 beta)) beta)) (pow alpha 3))) (+ 1 (+ (* -1 (/ (* beta (- (* -1 (+ 2 beta)) beta)) (pow alpha 2))) (/ beta alpha))))
-1
(- (* -1 (/ (- (+ 2 beta) (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ 2 (+ beta (/ (* beta (- (+ 2 beta) (* -1 beta))) alpha))) (* -1 beta)) alpha)) 1)
(- (* -1 (/ (- (+ 2 (+ beta (* -1 (/ (- (* -1 (/ (* (pow beta 2) (- (+ 2 beta) (* -1 beta))) alpha)) (* beta (- (+ 2 beta) (* -1 beta)))) alpha)))) (* -1 beta)) alpha)) 1)
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 (/ alpha beta))
(/ (+ beta (* -1 alpha)) beta)
(/ (+ beta (* -1 alpha)) beta)
(/ (+ beta (* -1 alpha)) beta)
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
2
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
(* -2 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))
(* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))
(* alpha (- (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))))
(* -2 (/ alpha beta))
(* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (* 2 (/ 1 beta)) (* 2 (/ 1 alpha)))))
(* -2 (/ alpha beta))
(/ (- (* 2 beta) (* 2 alpha)) beta)
(/ (- (* 2 beta) (* 2 alpha)) beta)
(/ (- (* 2 beta) (* 2 alpha)) beta)
2
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
2
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
(+ 2 (* -2 (/ alpha beta)))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 (/ alpha beta))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
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
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
1
(+ 1 (* -1/4 (pow alpha 2)))
(+ 1 (* (pow alpha 2) (- (* 1/4 alpha) 1/4)))
(+ 1 (* (pow alpha 2) (- (* alpha (+ 1/4 (* -3/16 alpha))) 1/4)))
(/ 4 alpha)
(/ (- 4 (* 12 (/ 1 alpha))) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (* 12 (/ 1 alpha))) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (+ (* 12 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3))))) alpha)
(/ 4 alpha)
(* -1 (/ (- (* 12 (/ 1 alpha)) 4) alpha))
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 alpha)) 12) alpha)) 4) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 32) alpha)) 12) alpha)) 4) alpha))
(* 1/4 (pow alpha 2))
(* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))
1
(- 1 (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))
1
(- 1 (* 4 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 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 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)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 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)))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
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(* 1/2 (+ 1 (/ beta (+ 2 beta))))
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
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(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
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(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 2 (+ (* -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))))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(/ (+ 2 (* 2 beta)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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1/2
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1
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(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) (/.f64 #s(literal 16 binary64) (*.f64 alpha (*.f64 alpha alpha)))) alpha)
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1
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1
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
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alpha
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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alpha
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1
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1
#s(literal 1 binary64)
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eval142.0ms (1.4%)

Compiler

Compiled 28531 to 3659 computations (87.2% saved)

prune157.0ms (1.5%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New1055101065
Fresh549
Picked235
Done134
Total1063201083
Accuracy
100.0%
Counts
1083 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 alpha alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
▶50.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
✓49.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) alpha))) #s(literal 2 binary64))
✓73.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
29.7%
(/.f64 (-.f64 beta alpha) beta)
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓71.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
31.1%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
23.5%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
▶24.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓31.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
10.1%
(/.f64 beta alpha)
▶24.7%
(/.f64 #s(literal 1 binary64) alpha)
26.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
▶31.5%
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
▶47.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
47.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓33.9%
#s(literal 1 binary64)
✓50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 502 to 273 computations (45.6% saved)

simplify241.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 beta alpha)
✓cost-diff0
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓cost-diff0
(*.f64 beta #s(literal 1/4 binary64))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
Rules
3360×+-lowering-+.f64
3360×+-lowering-+.f32
2200×*-lowering-*.f32
2200×*-lowering-*.f64
1682×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031242
168230
2162194
3570190
43031190
09237190
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2))))
1
(/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))
(/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha)))
(- beta alpha)
beta
alpha
(/ (+ alpha (+ beta 2)) (- beta alpha))
(+ alpha (+ beta 2))
(+ beta 2)
2
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(- -2 (+ beta alpha))
-2
(+ beta alpha)
(/ 1 alpha)
1
alpha
(+ 1/2 (* beta 1/4))
1/2
(* beta 1/4)
beta
1/4
(+ (/ beta alpha) (/ 1 alpha))
(/ beta alpha)
beta
alpha
(/ 1 alpha)
1
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
1
(/ (+ (/ 4 alpha) -2) alpha)
(+ (/ 4 alpha) -2)
(/ 4 alpha)
4
alpha
-2
Outputs
(/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta))))
1
#s(literal 1 binary64)
(/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))
(/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha)))
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(/ (+ alpha (+ beta 2)) (- beta alpha))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
(+ alpha (+ beta 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/ (- beta alpha) (- -2 (+ beta alpha)))
(/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(- -2 (+ beta alpha))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
-2
#s(literal -2 binary64)
(+ beta alpha)
(+.f64 beta alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(+ 1/2 (* beta 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* beta 1/4)
(*.f64 beta #s(literal 1/4 binary64))
beta
1/4
#s(literal 1/4 binary64)
(+ (/ beta alpha) (/ 1 alpha))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))
(/ beta alpha)
(/.f64 beta alpha)
beta
alpha
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
1
#s(literal 1 binary64)
(/ (+ (/ 4 alpha) -2) alpha)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(+ (/ 4 alpha) -2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
4
#s(literal 4 binary64)
alpha
-2
#s(literal -2 binary64)

localize282.0ms (2.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)
✓accuracy100.0%
(/.f64 beta alpha)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 beta #s(literal 1/4 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy99.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
✓accuracy99.9%
(/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)))
✓accuracy78.2%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
✓accuracy50.9%
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
Results
96.0ms112×1valid
80.0ms123×0valid
46.0ms21×2valid
Compiler

Compiled 248 to 32 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-div: 43.0ms (50.8% of total)
ival-add: 16.0ms (18.9% of total)
backward-pass: 14.0ms (16.5% of total)
ival-sub: 7.0ms (8.3% of total)
ival-mult: 3.0ms (3.5% of total)
const: 2.0ms (2.4% of total)

series29.0ms (0.3%)

Counts
15 → 276
Calls
Call 1
Inputs
#<alt (/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)>
#<alt (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))>
#<alt (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2))))>
#<alt (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))>
#<alt (/ 1 alpha)>
#<alt (+ 1/2 (* beta 1/4))>
#<alt (* beta 1/4)>
#<alt (+ (/ beta alpha) (/ 1 alpha))>
#<alt (/ beta alpha)>
#<alt (/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)>
#<alt (+ 1 (/ (+ (/ 4 alpha) -2) alpha))>
#<alt (/ (+ (/ 4 alpha) -2) alpha)>
#<alt (+ (/ 4 alpha) -2)>
#<alt (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))>
#<alt (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha)))>
Outputs
#<alt (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))) (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (* beta (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))))))) (* 1/2 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))))))>
#<alt (+ (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 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))))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6))))))))) (* 1/2 (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))))))))))>
#<alt (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha))))>
#<alt (+ (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha)))) (+ (* 1/2 (/ (- (* -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))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (/ (* (pow (+ 2 alpha) 2) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (* 1/2 (/ (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) beta))))>
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#<alt (+ 1 (+ (* -1 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 (+ (* beta (+ (* -1 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 (+ (* beta (+ (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* -1 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))) (/ alpha (+ 2 alpha))))>
#<alt (* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)>
#<alt (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)>
#<alt (/ (- alpha (* -1 (+ 2 alpha))) beta)>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))>
#<alt (+ 1 (* -1 (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))>
#<alt (+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ (pow alpha 2) (+ 2 alpha))>
#<alt (+ (* beta (- (* -2 (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))>
#<alt beta>
#<alt (* beta (- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))>
#<alt (* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (- (* -2 alpha) (+ 2 alpha)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))>
#<alt (/ (pow beta 2) (+ 2 beta))>
#<alt (+ (* alpha (- (* -2 (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))>
#<alt (+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))>
#<alt (+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))>
#<alt alpha>
#<alt (* alpha (- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))>
#<alt (* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (- (* -2 beta) (+ 2 beta)) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta)))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
1.0ms
beta
@0
(/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
1.0ms
alpha
@0
(/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha)))
1.0ms
alpha
@0
(/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
1.0ms
beta
@0
(/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))

rewrite362.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
2724×*-lowering-*.f32
2724×*-lowering-*.f64
2662×/-lowering-/.f32
2662×/-lowering-/.f64
2036×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031183
1254119
22885113
08384113
Stop Event
1×iter limit
1×node limit
Counts
15 → 456
Calls
Call 1
Inputs
(/ (/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))) 2)
(/ (- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))) (+ 1 (/ (- beta alpha) (- -2 (+ beta alpha)))))
(- 1 (/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2))))
(/ (/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha))) (+ alpha (+ beta 2)))
(/ 1 alpha)
(+ 1/2 (* beta 1/4))
(* beta 1/4)
(+ (/ beta alpha) (/ 1 alpha))
(/ beta alpha)
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
(/ (+ (/ 4 alpha) -2) alpha)
(+ (/ 4 alpha) -2)
(+ 1 (/ (- beta alpha) (- -2 (+ beta alpha))))
(/ (- beta alpha) (/ (+ alpha (+ beta 2)) (- beta alpha)))
Outputs
(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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 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 #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 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -1 binary64) (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 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (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 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 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 #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 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.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 (*.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 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (*.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) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(pow.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))
(pow.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)) #s(literal -1 binary64))
(pow.f64 (/.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) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 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 #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 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (neg.f64 (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.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 1 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))))
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(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)))) (*.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))))) (+.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))) (+.f64 (*.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))) (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))) (*.f64 (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)))) (+.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 beta alpha))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))
(*.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (-.f64 beta alpha)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))

simplify418.0ms (4%)

Algorithm
1×egg-herbie
Rules
3886×*-lowering-*.f32
3886×*-lowering-*.f64
3284×+-lowering-+.f64
3284×+-lowering-+.f32
1900×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121216740
1428315137
0814915137
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))) (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))))
(+ (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (* beta (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))))))) (* 1/2 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))))))
(+ (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (* beta (+ (* 1/2 (* beta (- (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 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))))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 6))))))))) (* 1/2 (- (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))) (/ (pow alpha 2) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))) (+ (* -1 (/ (* (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))) (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (+ 1 (/ alpha (+ 2 alpha))))) (/ 1 (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2))))))))))))
(* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha))))
(+ (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha)))) (+ (* 1/2 (/ (- (* -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))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (/ (* (pow (+ 2 alpha) 2) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (* 1/2 (/ (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) beta))))
(+ (* -1/2 (/ (- (+ 4 (* 2 alpha)) (* -2 alpha)) (- (* -1 alpha) (+ 2 alpha)))) (+ (* 1/2 (/ (- (* -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))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 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))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (/ (* (pow (+ 2 alpha) 2) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))))) (+ (* (pow (+ 2 alpha) 2) (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 3))) (+ (* 1/2 (/ (- (* -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))))) (- (* -1 alpha) (+ 2 alpha)))) (+ (* -1 (* (+ 2 alpha) (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (* -1 (/ (* (pow (+ 2 alpha) 2) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))) (pow beta 2))) (* 1/2 (/ (- (* -1 (/ (- (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (+ 2 alpha) (- (+ 4 (* 2 alpha)) (* -2 alpha))) (- (* -1 alpha) (+ 2 alpha)))) beta)))))
(* -1/2 (/ (- (* -2 (+ 2 alpha)) (* 2 alpha)) (- alpha (* -1 (+ 2 alpha)))))
(+ (* -1/2 (/ (- (* -2 (+ 2 alpha)) (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))) (* -1/2 (/ (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))) beta)))
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ (* -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))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))))) beta)) (* 1/2 (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (* -2 (+ 2 alpha)) (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -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))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 3) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (+ (* (+ 2 alpha) (- (* -1 (/ (+ (* -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))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))))))) (* (pow (+ 2 alpha) 2) (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))))))) beta)) (* 1/2 (- (* -1 (/ (+ (* -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))))) (- alpha (* -1 (+ 2 alpha))))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))) (* (+ 2 alpha) (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha))))))))))) beta)) (* 1/2 (- (* -1 (/ (- (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)) (pow alpha 2)) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (* (+ 2 alpha) (- (* -2 (+ 2 alpha)) (* 2 alpha))) (- alpha (* -1 (+ 2 alpha)))))))) beta)) (* -1/2 (/ (- (* -2 (+ 2 alpha)) (* 2 alpha)) (- alpha (* -1 (+ 2 alpha))))))
(* 1/2 (/ (- 1 (/ (pow beta 2) (pow (+ 2 beta) 2))) (+ 1 (* -1 (/ beta (+ 2 beta))))))
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(* -1 (/ (- (+ (* -2 (+ 2 beta)) (* -1 (/ (- (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (+ (* -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))))))) (* (pow (+ 2 beta) 2) (- (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 (+ 2 beta) 2))) (pow beta 2)) alpha))) (* 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)))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* 1/4 beta))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* 1/4 beta)
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* beta (+ 1/4 (* 1/2 (/ 1 beta))))
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(* 1/4 beta)
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (* -1 beta) 1) alpha))
(/ 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)
(/ 4 (pow alpha 3))
(/ (+ 4 (* -2 alpha)) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ -2 alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ -2 alpha)
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(/ 4 alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
(+ 1 (/ alpha (+ 2 alpha)))
(+ 1 (+ (* -1 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))))
(+ 1 (+ (* beta (+ (* -1 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) (/ alpha (+ 2 alpha))))
(+ 1 (+ (* beta (+ (* -1 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* -1 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))) (/ alpha (+ 2 alpha))))
(* -1 (/ (- (* -1 alpha) (+ 2 alpha)) beta))
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)
(/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))))) beta)
(/ (- alpha (* -1 (+ 2 alpha))) beta)
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (/ (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- alpha (* -1 (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- alpha (* -1 (+ 2 alpha))))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- alpha (* -1 (+ 2 alpha))))) (/ (* (pow (+ 2 alpha) 3) (- alpha (* -1 (+ 2 alpha)))) beta)) beta))) beta))) beta))
(+ 1 (* -1 (/ beta (+ 2 beta))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* -1 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
(+ 1 (+ (* -1 (/ beta (+ 2 beta))) (* alpha (+ (* alpha (+ (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))) (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
2
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))
(/ (pow alpha 2) (+ 2 alpha))
(+ (* beta (- (* -2 (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
beta
(* beta (- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
beta
(* -1 (* beta (- (* -1 (/ (- (* -2 alpha) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(/ (pow beta 2) (+ 2 beta))
(+ (* alpha (- (* -2 (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
alpha
(* alpha (- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))
(* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))
alpha
(* -1 (* alpha (- (* -1 (/ (- (* -2 beta) (+ 2 beta)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta)))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))
Outputs
(* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 4))) (+ (* -2 (/ alpha (* (+ 1 (/ alpha (+ 2 alpha))) (pow (+ 2 alpha) 2)))) (* -1 (/ (* (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))) (* 1/2 (/ (- 1 (/ (pow alpha 2) (pow (+ 2 alpha) 2))) (+ 1 (/ alpha (+ 2 alpha))))))
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#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
(+ 2 (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
(+ 2 (+ (* -1 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(+.f64 #s(literal 2 binary64) (+.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.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))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- beta (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))
(+ 2 (* -1 (/ (- (+ beta (+ (* -1 (/ (* beta (+ 2 beta)) alpha)) (* -1 (/ (pow (+ 2 beta) 2) alpha)))) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 (+.f64 beta (/.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha))
(+ 2 (* -1 (/ (- (+ beta (* -1 (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) alpha)) (* -1 (/ (pow (+ 2 beta) 3) alpha))) (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha))) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (-.f64 beta (/.f64 (+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (-.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) alpha)) (+.f64 #s(literal 2 binary64) beta)) alpha))
(/ (pow alpha 2) (+ 2 alpha))
(/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal 2 binary64)))
(+ (* beta (- (* -2 (/ alpha (+ 2 alpha))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (-.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(+ (* beta (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (+ (/ 1 (+ 2 alpha)) (/ (pow alpha 2) (pow (+ 2 alpha) 3)))) (* -2 (/ alpha (pow (+ 2 alpha) 2)))))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))) (/ (pow alpha 2) (+ 2 alpha)))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta (+.f64 (*.f64 beta (-.f64 (/.f64 (*.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 alpha #s(literal -2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
beta
(* beta (- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
(*.f64 beta (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)) (*.f64 beta beta)))))
(* beta (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (* (+ 2 alpha) (- (pow alpha 2) (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))) (pow beta 2))))))
(*.f64 beta (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal -2 binary64)) beta)) (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha) (-.f64 #s(literal -2 binary64) alpha))) (*.f64 beta (*.f64 beta beta)))))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha)) (*.f64 beta beta)))))
beta
(* -1 (* beta (- (* -1 (/ (- (* -2 alpha) (+ 2 alpha)) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) (-.f64 #s(literal -2 binary64) alpha)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (- (+ (* -2 alpha) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 alpha) (- (* -1 (pow alpha 2)) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha)))))) beta)) (* -1 (pow alpha 2))) (* -1 (* (+ 2 alpha) (- (* -2 alpha) (+ 2 alpha))))) beta))) (+ 2 alpha)) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 alpha #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))) beta)) (-.f64 #s(literal -2 binary64) alpha))) beta) #s(literal -1 binary64)))
(/ (pow beta 2) (+ 2 beta))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta))
(+ (* alpha (- (* -2 (/ beta (+ 2 beta))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 (*.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
(+ (* alpha (- (+ (* -2 (/ beta (+ 2 beta))) (* alpha (- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (+ (/ 1 (+ 2 beta)) (/ (pow beta 2) (pow (+ 2 beta) 3)))) (* -2 (/ beta (pow (+ 2 beta) 2)))))) (/ (pow beta 2) (pow (+ 2 beta) 2)))) (/ (pow beta 2) (+ 2 beta)))
(+.f64 (/.f64 (*.f64 beta beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (-.f64 (*.f64 alpha (+.f64 (*.f64 alpha (-.f64 (-.f64 (/.f64 (*.f64 beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 beta #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
alpha
(* alpha (- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))
(*.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))))
(* alpha (- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (* (+ 2 beta) (- (pow beta 2) (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))) (pow alpha 2))))))
(*.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -2 binary64)) alpha)) (-.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))))
alpha
(* -1 (* alpha (- (* -1 (/ (- (* -2 beta) (+ 2 beta)) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)))) alpha)) (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -2 beta) (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (- (* -1 (pow beta 2)) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta)))))) alpha)) (* -1 (pow beta 2))) (* -1 (* (+ 2 beta) (- (* -2 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)))) alpha)) (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta)))) alpha)) (-.f64 #s(literal -2 binary64) beta)) alpha)) #s(literal -1 binary64)))

eval114.0ms (1.1%)

Compiler

Compiled 39328 to 3096 computations (92.1% saved)

prune204.0ms (2%)

Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New7534757
Fresh189
Picked055
Done066
Total75423777
Accuracy
100.0%
Counts
777 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
48.9%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 alpha alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
✓50.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
✓49.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
49.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) alpha))) #s(literal 2 binary64))
✓73.7%
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
29.7%
(/.f64 (-.f64 beta alpha) beta)
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
23.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓71.5%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
31.1%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓24.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓31.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
10.1%
(/.f64 beta alpha)
✓24.7%
(/.f64 #s(literal 1 binary64) alpha)
26.6%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
✓31.5%
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
✓47.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
47.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
16.9%
(*.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
47.1%
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
✓33.9%
#s(literal 1 binary64)
✓50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 960 to 350 computations (63.5% saved)

regimes52.0ms (0.5%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
(*.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) alpha))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 alpha alpha))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #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)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
Calls

5 calls:

11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
11.0ms
beta
10.0ms
alpha
9.0ms
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
94.7%2alpha
73.7%1beta
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
(*.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
Outputs
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

8.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes54.0ms (0.5%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
(*.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) #s(literal 2 binary64))
Outputs
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

39.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.7%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.7%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.7%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
(*.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
Calls

1 calls:

7.0ms
alpha
Results
AccuracySegmentsBranch
93.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha))
Calls

1 calls:

4.0ms
alpha
Results
AccuracySegmentsBranch
76.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(*.f64 beta (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) beta)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

5.0ms
alpha
Results
AccuracySegmentsBranch
76.9%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
Calls

2 calls:

3.0ms
beta
3.0ms
alpha
Results
AccuracySegmentsBranch
70.2%2beta
70.0%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) alpha)
Calls

2 calls:

4.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
70.0%2alpha
69.7%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) alpha)
Calls

1 calls:

2.0ms
alpha
Results
AccuracySegmentsBranch
69.8%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
beta
1.0ms
alpha
Results
AccuracySegmentsBranch
69.2%2beta
55.8%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

2 calls:

1.0ms
alpha
1.0ms
beta
Results
AccuracySegmentsBranch
50.1%1alpha
50.1%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999998965730203
-0.9994037049158727
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999998965730203
-0.9994037049158727
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999998230102
-0.999998965730203
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
7.882442044379689e+27
5.067691238989522e+29
Results
14.0ms81×1valid
2.0ms31×0valid
Compiler

Compiled 174 to 126 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (34.6% of total)
ival-add: 3.0ms (34.6% of total)
backward-pass: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.8485467491017882e-5
3352.0440852823767
Results
10.0ms144×0valid
Compiler

Compiled 182 to 140 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (36.8% of total)
ival-add: 2.0ms (36.8% of total)
ival-sub: 1.0ms (18.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.8485467491017882e-5
3352.0440852823767
Results
11.0ms144×0valid
Compiler

Compiled 164 to 131 computations (20.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (39.2% of total)
ival-add: 2.0ms (39.2% of total)
ival-sub: 1.0ms (19.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.247265908794538
9.335240210421382
Results
8.0ms59×0valid
6.0ms37×1valid
Compiler

Compiled 116 to 92 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 5.0ms (53.5% of total)
ival-div: 2.0ms (21.4% of total)
ival-add: 2.0ms (21.4% of total)
backward-pass: 1.0ms (10.7% of total)
const: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.8485467491017882e-5
3352.0440852823767
Results
10.0ms144×0valid
Compiler

Compiled 146 to 122 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (39.5% of total)
ival-add: 2.0ms (39.5% of total)
ival-sub: 1.0ms (19.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.8485467491017882e-5
3352.0440852823767
Results
10.0ms144×0valid
Compiler

Compiled 110 to 95 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.6% of total)
ival-add: 2.0ms (38.6% of total)
ival-sub: 1.0ms (19.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
9805.633753132524
10054806.53295997
Results
7.0ms46×1valid
6.0ms82×0valid
Compiler

Compiled 84 to 78 computations (7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (42.3% of total)
ival-div: 2.0ms (28.2% of total)
ival-sub: 1.0ms (14.1% of total)
backward-pass: 1.0ms (14.1% of total)
const: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
54×+-commutative_binary64
30×sub-neg_binary64
26×*-commutative_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069217
198217
2118217
3137217
4153217
5164217
6171217
7174217
8175217
Stop Event
1×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 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 8000000000000000106300440576 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 alpha #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 10000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007190247541737/9007199254740992 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 8000000000000000106300440576 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 alpha #s(literal 8000000000000000106300440576 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 alpha #s(literal 3602879701896397/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 8782019273372467/4503599627370496 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 10000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness1.4s (13.9%)

Rules
4612×*-lowering-*.f32
4612×*-lowering-*.f64
4146×/-lowering-/.f32
4146×/-lowering-/.f64
4024×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
18640
278040
0852040
0177519990
1634018527
0822818527
04332427
115182169
256322118
081502118
07173795
125143280
085023280
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 517 to 268 computations (48.2% saved)

preprocess83.0ms (0.8%)

Compiler

Compiled 468 to 158 computations (66.2% saved)

end0.0ms (0%)

Profiling

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