Octave 3.8, jcobi/1

Time bar (total: 9.9s)

analyze3.0ms (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: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 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 (14.5%)

Results
638.0ms6069×0valid
367.0ms1863×1valid
85.0ms324×2valid
Precisions
Click to see histograms. Total time spent on operations: 624.0ms
ival-add: 210.0ms (33.6% of total)
ival-div: 175.0ms (28% of total)
ival-sub: 78.0ms (12.5% of total)
ival->: 64.0ms (10.3% of total)
backward-pass: 61.0ms (9.8% of total)
const: 19.0ms (3% of total)
ival-and: 18.0ms (2.9% of total)
Bogosity

preprocess219.0ms (2.2%)

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)

explain139.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
610-0-(+.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
54.0ms392×0valid
33.0ms106×1valid
5.0ms14×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 10.0ms (34.2% of total)
ival-div: 9.0ms (30.7% of total)
ival-sub: 5.0ms (17.1% of total)
backward-pass: 4.0ms (13.7% of total)
const: 1.0ms (3.4% 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
▶78.0%
(/.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)

simplify148.0ms (1.5%)

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)

localize82.0ms (0.8%)

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)))
✓accuracy78.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
47.0ms196×0valid
14.0ms53×1valid
3.0ms7×2valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 28.0ms (73.4% of total)
ival-add: 5.0ms (13.1% of total)
ival-sub: 2.0ms (5.2% of total)
backward-pass: 2.0ms (5.2% of total)
const: 1.0ms (2.6% of total)

series13.0ms (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
2.0ms
beta
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@-inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite326.0ms (3.3%)

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)
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(+.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))))

simplify310.0ms (3.1%)

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))))

eval98.0ms (1%)

Compiler

Compiled 15556 to 2040 computations (86.9% saved)

prune74.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New47011481
Fresh000
Picked011
Done000
Total47012482
Accuracy
100.0%
Counts
482 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (/.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))) (*.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)))) #s(literal 2 binary64))
▶32.7%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
▶49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓78.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
35.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶76.4%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶78.0%
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
24.2%
(/.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)
26.1%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
77.9%
(/.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))))
▶39.9%
#s(literal 1 binary64)
Compiler

Compiled 417 to 218 computations (47.7% saved)

simplify198.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(+.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 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff256
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
Rules
2310×+-lowering-+.f64
2310×+-lowering-+.f32
2202×*-lowering-*.f32
2202×*-lowering-*.f64
1190×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023170
151157
2107156
3235153
4606153
51514153
63941144
08083144
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))) (/ alpha (+ beta (+ alpha 2))))
(/ beta (+ beta (+ alpha 2)))
beta
(+ beta (+ alpha 2))
(+ alpha 2)
alpha
2
(/ alpha (+ beta (+ alpha 2)))
1
1
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
1
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
Outputs
(/ (+ (- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2)))) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta)) #s(literal 2 binary64)))
(+ (- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2)))) 1)
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta)) #s(literal 1 binary64))
(- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 alpha beta))
(/ 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)))
(/.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)
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 (*.f64 alpha #s(literal -2 binary64)) #s(literal -4 binary64))))
(- 1 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 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)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) 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

localize197.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 #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 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy71.0%
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.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 #s(literal 2 binary64) beta)
✓accuracy100.0%
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy78.0%
(+.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))
Results
69.0ms177×0valid
50.0ms72×1valid
40.0ms7×2valid
Compiler

Compiled 173 to 24 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sub: 30.0ms (42.2% of total)
ival-div: 20.0ms (28.1% of total)
ival-add: 11.0ms (15.5% of total)
backward-pass: 6.0ms (8.4% of total)
ival-mult: 3.0ms (4.2% of total)
const: 1.0ms (1.4% of total)

series22.0ms (0.2%)

Counts
18 → 312
Calls
Call 1
Inputs
#<alt (- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2))))>
#<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 (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (/ alpha (+ beta (+ alpha 2)))>
#<alt (* alpha 2)>
Outputs
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (- (* 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 (- (* 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 1>
#<alt (+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 1 (+ (* -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 1>
#<alt (+ 1 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* 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 (+ (* 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 -1>
#<alt (- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 1)>
#<alt (- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 1 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 1)>
#<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)) 1)>
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt 1/2>
#<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 (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* 1/2 (- 2 (* 2 (/ 1 beta))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1/2 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (* -2 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* -2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (/ 2 beta)>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt 2>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (/ alpha (+ 2 beta))>
#<alt (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ alpha (+ 2 alpha))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* 2 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)>
Calls

78 calls:

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

rewrite407.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4184×/-lowering-/.f32
4184×/-lowering-/.f64
2316×*-lowering-*.f32
2316×*-lowering-*.f64
1882×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023130
1208121
22234121
08483121
Stop Event
1×iter limit
1×node limit
Counts
18 → 624
Calls
Call 1
Inputs
(- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2))))
(/ (+ (- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2)))) 1) 2)
(+ (- (/ beta (+ beta (+ alpha 2))) (/ alpha (+ beta (+ alpha 2)))) 1)
(/ beta (+ beta (+ alpha 2)))
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
(+ alpha 2)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(/ alpha (+ beta (+ alpha 2)))
(* alpha 2)
Outputs
(+.f64 (/.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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (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 #s(literal 0 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) alpha)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) alpha) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) alpha))))
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(*.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) beta)))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta))
(*.f64 (pow.f64 (/.f64 beta (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
(+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))
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(fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) alpha #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))))
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(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 #s(literal 4 binary64) alpha))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) alpha)))
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(*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) (-.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(*.f64 (+.f64 alpha #s(literal 1 binary64)) #s(literal 2 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
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(*.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)))
(*.f64 (/.f64 alpha (+.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 alpha (-.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 alpha #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) alpha)

simplify411.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
4236×+-lowering-+.f64
4236×+-lowering-+.f32
3762×*-lowering-*.f32
3762×*-lowering-*.f64
1650×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07334308
125583782
083503782
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* -1 (/ alpha (+ 2 alpha)))
(- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
1
(+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 1 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
1
(+ 1 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 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 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 1)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 1 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 1 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -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)
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
2
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
2
(- 2 (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
1/2
(+ 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))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* 1/2 (- 2 (* 2 (/ 1 beta))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(* -1 (/ alpha beta))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(* -2 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(/ 2 beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
2
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(/ 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)
Outputs
(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))
(- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+.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 #s(literal -2 binary64) alpha)))
(- (* 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 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(- (* 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 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 1 (+ (* -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 (/ (+ 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 (/ (- (+ 2 alpha) (* -1 alpha)) 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)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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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 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.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))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 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 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.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 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) 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 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))
(* 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 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 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))))) (/.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) alpha) beta))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(+ (* 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 (*.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)
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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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(/ beta alpha)
(/.f64 beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(/.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 (*.f64 beta (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (-.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))
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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 #s(literal -1/8 binary64) (*.f64 beta #s(literal 1/16 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 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (+.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 -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.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 beta #s(literal 1/2 binary64)))
(+ 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 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 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 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) (+.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)))
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(*.f64 alpha #s(literal 2 binary64))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(/ alpha (+ 2 beta))
(/.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(*.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (*.f64 alpha (-.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 alpha (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(+.f64 (/.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 #s(literal 2 binary64) alpha))))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha)) alpha))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha) (-.f64 #s(literal -2 binary64) beta))) alpha))
(/ alpha (+ 2 alpha))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(-.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 (*.f64 beta (+.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 beta)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))))
(/ alpha beta)
(/.f64 alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) beta))
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/.f64 (+.f64 alpha (/.f64 (*.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (-.f64 #s(literal -2 binary64) 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)
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) alpha) (*.f64 beta (*.f64 beta beta))) (-.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) beta) (/.f64 (*.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))))) beta)
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 (*.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (-.f64 #s(literal -2 binary64) 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))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 alpha (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) beta)) (*.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) beta))) beta)
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))

eval139.0ms (1.4%)

Compiler

Compiled 26266 to 3399 computations (87.1% saved)

prune425.0ms (4.3%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New993111004
Fresh336
Picked235
Done011
Total998181016
Accuracy
100.0%
Counts
1016 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (/.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))) (*.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)))) #s(literal 2 binary64))
✓49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓78.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
75.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
35.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓76.4%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
25.5%
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶77.9%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
26.1%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
▶19.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
32.7%
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
▶49.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
20.9%
(/.f64 #s(literal 1 binary64) alpha)
33.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
▶46.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
48.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓39.9%
#s(literal 1 binary64)
▶50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 440 to 251 computations (43% saved)

simplify156.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓cost-diff0
(/.f64 #s(literal -2 binary64) alpha)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓cost-diff0
(*.f64 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) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))
Rules
1762×sum3-define
1698×fmsub-define
1658×fma-lowering-fma.f32
1658×fma-lowering-fma.f64
1632×fnmadd-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
023121
145114
291114
3197113
4405113
5757113
61362113
72455112
85072112
08097112
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)))
1
(+ beta (+ alpha 2))
beta
(+ alpha 2)
alpha
2
(- beta alpha)
1/2
(+ 1/2 (* beta 1/4))
1/2
(* beta 1/4)
beta
1/4
(/ (+ 1 (/ -2 alpha)) alpha)
(+ 1 (/ -2 alpha))
1
(/ -2 alpha)
-2
alpha
(/ 1 (/ 2 (- 1 (/ alpha (+ alpha 2)))))
1
(/ 2 (- 1 (/ alpha (+ alpha 2))))
2
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
Outputs
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(* (/ 1 (+ beta (+ alpha 2))) (- beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/ 1 (+ beta (+ alpha 2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
1
#s(literal 1 binary64)
(+ beta (+ alpha 2))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
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)
(+ 1/2 (* 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)
(/ (+ 1 (/ -2 alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(+ 1 (/ -2 alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
-2
#s(literal -2 binary64)
alpha
(/ 1 (/ 2 (- 1 (/ alpha (+ alpha 2)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(/ 2 (- 1 (/ alpha (+ alpha 2))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.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))))
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))

localize268.0ms (2.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
✓accuracy99.9%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓accuracy71.0%
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) 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 beta (+.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))
✓accuracy78.0%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64))
Results
140.0ms177×0valid
47.0ms24×2valid
35.0ms55×1valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 32.0ms (47.9% of total)
ival-div: 16.0ms (23.9% of total)
backward-pass: 8.0ms (12% of total)
ival-sub: 5.0ms (7.5% of total)
ival-mult: 4.0ms (6% of total)
const: 1.0ms (1.5% of total)

series9.0ms (0.1%)

Counts
14 → 228
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha))>
#<alt (/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)>
#<alt (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)>
#<alt (/ 1 (+ beta (+ alpha 2)))>
#<alt (+ 1/2 (* beta 1/4))>
#<alt (* beta 1/4)>
#<alt (/ (+ 1 (/ -2 alpha)) alpha)>
#<alt (+ 1 (/ -2 alpha))>
#<alt (/ -2 alpha)>
#<alt (/ 1 (/ 2 (- 1 (/ alpha (+ alpha 2)))))>
#<alt (/ 2 (- 1 (/ alpha (+ alpha 2))))>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ beta (+ alpha 2))>
Outputs
#<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 (- 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 (+ 2 alpha))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (/ 1 beta)>
#<alt (/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)>
#<alt (/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))>
#<alt (/ 1 (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))>
#<alt (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)>
#<alt (/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)>
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (* 1/4 beta)>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* 1/4 beta)>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (* 1/4 beta)>
#<alt (/ -2 (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (/ -2 alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (/ -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 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>
#<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 (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
alpha
@-inf
(/ 2 (- 1 (/ alpha (+ alpha 2))))
1.0ms
alpha
@inf
(/ 2 (- 1 (/ alpha (+ alpha 2))))
0.0ms
alpha
@0
(/ 2 (- 1 (/ alpha (+ alpha 2))))
0.0ms
alpha
@-inf
(/ (+ 1 (/ -2 alpha)) alpha)
0.0ms
beta
@inf
(* beta 1/4)

rewrite383.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4418×/-lowering-/.f32
4418×/-lowering-/.f64
4198×*-lowering-*.f32
4198×*-lowering-*.f64
2354×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02398
116791
2149091
0905291
Stop Event
1×iter limit
1×node limit
Counts
14 → 450
Calls
Call 1
Inputs
(* (/ 1 (+ beta (+ alpha 2))) (- beta alpha))
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)
(/ 1 (+ beta (+ alpha 2)))
(+ 1/2 (* beta 1/4))
(* beta 1/4)
(/ (+ 1 (/ -2 alpha)) alpha)
(+ 1 (/ -2 alpha))
(/ -2 alpha)
(/ 1 (/ 2 (- 1 (/ alpha (+ alpha 2)))))
(/ 2 (- 1 (/ alpha (+ alpha 2))))
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
(+ beta (+ alpha 2))
Outputs
(+.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))))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.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) (neg.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta alpha)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 beta alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 beta alpha))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #s(literal 1 binary64)))
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(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 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))))
(*.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)
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(*.f64 (*.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))
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(*.f64 (/.f64 alpha (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))))
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(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 (+.f64 alpha #s(literal 2 binary64)) beta)
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.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 beta) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (/.f64 (*.f64 beta beta) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))
(-.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))))
(fma.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 alpha alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) beta)
(fma.f64 (+.f64 (*.f64 alpha alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))) beta)
(/.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 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (+.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 #s(literal 1 binary64) (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.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 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(/.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 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.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 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(/.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 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.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)))))) (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(/.f64 (neg.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)))))) (neg.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (neg.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)))))) (neg.f64 (*.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 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -2 binary64))) #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 (+.f64 beta alpha) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.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))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (neg.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))) (neg.f64 (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) (neg.f64 (-.f64 (+.f64 beta alpha) #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 alpha (*.f64 alpha alpha)) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 3 binary64))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 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))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
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(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) #s(literal 1 binary64)) (/.f64 (+.f64 beta (+.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)))))

simplify332.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3496×+-lowering-+.f64
3496×+-lowering-+.f32
3176×*-lowering-*.f32
3176×*-lowering-*.f64
2276×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06083197
121092866
271882860
083042860
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* -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 (- 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 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(/ 1 beta)
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)
(/ 1 beta)
(* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 2) beta) (+ 2 alpha)) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 alpha) 3) beta) (pow (+ 2 alpha) 2)) beta)) (+ 2 alpha)) beta)) 1) beta))
(/ 1 (+ 2 beta))
(+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 2 beta) alpha))) alpha)
(/ (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 2 beta) 3) alpha) (pow (+ 2 beta) 2)) alpha)) (+ 2 beta)) alpha)) 1) alpha))
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)
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/ -2 alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(/ -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))
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
(+ 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))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
Outputs
(* -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 (/.f64 alpha (+.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 beta (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.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 (/.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 (/ 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 (/.f64 alpha (+.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 (*.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 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 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))) (*.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 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) beta)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 alpha #s(literal 2 binary64))))) beta))) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
(+ (* 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)))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha (+.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 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))
-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(+.f64 (-.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
(+.f64 (/.f64 beta alpha) (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha)))
(- (* -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
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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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 (/ (- (* -1 beta) (+ 2 beta)) alpha))
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2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
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(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 2 (+ (* -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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(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha) (/.f64 #s(literal 16 binary64) (*.f64 alpha (*.f64 alpha alpha))))) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) alpha)) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(* 1/2 alpha)
(*.f64 alpha #s(literal 1/2 binary64))
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64))))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.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 #s(literal 0 binary64) (*.f64 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 #s(literal 0 binary64) (*.f64 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 #s(literal 0 binary64) (*.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) 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))))

eval128.0ms (1.3%)

Compiler

Compiled 15166 to 2379 computations (84.3% saved)

prune88.0ms (0.9%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New6771678
Fresh099
Picked145
Done044
Total67818696
Accuracy
100.0%
Counts
696 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (/.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))) (*.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)))) #s(literal 2 binary64))
✓49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓78.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶75.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶35.8%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓76.4%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
25.5%
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓77.9%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶26.1%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
32.7%
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
✓49.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
66.5%
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
▶20.9%
(/.f64 #s(literal 1 binary64) alpha)
▶33.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓46.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
48.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓39.9%
#s(literal 1 binary64)
✓50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 396 to 220 computations (44.4% saved)

simplify142.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) beta)
✓cost-diff0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff128
(+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64))
✓cost-diff0
(+.f64 beta #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓cost-diff0
(/.f64 #s(literal -1 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
2030×fnmadd-define
1982×fnmsub-define
1436×sum5-define
1100×sum4-define
1026×sum3-define
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01891
13487
25387
310087
418487
538586
677385
7156085
8462384
9748384
0817184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(+ (/ (- beta alpha) (+ beta 2)) 1)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
beta
alpha
(+ beta 2)
2
1
(/ 1 alpha)
1
alpha
(+ 1 (/ -1 beta))
1
(/ -1 beta)
-1
beta
(/ (+ beta 1) alpha)
(+ beta 1)
beta
1
alpha
(/ (+ (/ (- beta alpha) beta) 1) 2)
(+ (/ (- beta alpha) beta) 1)
(/ (- beta alpha) beta)
(- beta alpha)
beta
alpha
1
2
Outputs
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(+ (/ (- beta alpha) (+ beta 2)) 1)
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))
(/ (- beta alpha) (+ beta 2))
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(+ 1 (/ -1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
-1
#s(literal -1 binary64)
beta
(/ (+ beta 1) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(+ beta 1)
(+.f64 beta #s(literal 1 binary64))
beta
1
#s(literal 1 binary64)
alpha
(/ (+ (/ (- beta alpha) beta) 1) 2)
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha #s(literal -2 binary64)) beta))
(+ (/ (- beta alpha) beta) 1)
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(/ (- beta alpha) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)

localize129.0ms (1.3%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) beta)
✓accuracy100.0%
(+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 beta #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(+.f64 beta #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))
Results
94.0ms256×0valid
Compiler

Compiled 95 to 19 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 20.0ms (58.5% of total)
ival-div: 12.0ms (35.1% of total)
ival-sub: 2.0ms (5.8% of total)
const: 1.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
13 → 252
Calls
Call 1
Inputs
#<alt (/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ beta 2)) 1)>
#<alt (/ (- beta alpha) (+ beta 2))>
#<alt (- beta alpha)>
#<alt (/ 1 alpha)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (/ (+ beta 1) alpha)>
#<alt (+ beta 1)>
#<alt (+ (/ (- beta alpha) beta) 1)>
#<alt (/ (+ (/ (- beta alpha) beta) 1) 2)>
#<alt (/ (- beta alpha) beta)>
#<alt (+ beta 2)>
Outputs
#<alt (* 1/2 (- 1 (* 1/2 alpha)))>
#<alt (+ (* 1/2 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 (- 1 (* 1/2 alpha))))>
#<alt (+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1/8 alpha) 1/4))) (* 1/2 (+ 1/2 (* 1/4 alpha))))))>
#<alt (+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (+ 1/2 (* 1/4 alpha))) (* beta (+ (* 1/2 (* beta (+ 1/8 (* 1/16 alpha)))) (* 1/2 (- (* -1/8 alpha) 1/4)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (* 1/2 (/ (- (* -4 alpha) 8) (pow beta 3))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))>
#<alt (- 1 (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (* -1/8 alpha) 1/4)))))) (* 1/2 alpha))>
#<alt (- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (+ (* -1/8 alpha) (* beta (+ 1/8 (* 1/16 alpha)))) 1/4)))))) (* 1/2 alpha))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 2 (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 2 (+ (* -4 (/ alpha (pow beta 3))) (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ alpha beta))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))>
#<alt (* -1/2 alpha)>
#<alt (+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))>
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))>
#<alt (* -1 (/ alpha (+ 2 beta)))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ -1 beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 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 (/ alpha beta))>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 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 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 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
alpha
@-inf
(/ (+ beta 1) alpha)
1.0ms
alpha
@inf
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
1.0ms
alpha
@0
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
0.0ms
beta
@0
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
0.0ms
beta
@inf
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)

rewrite313.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
5038×*-lowering-*.f32
5038×*-lowering-*.f64
4028×/-lowering-/.f32
4028×/-lowering-/.f64
2314×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01872
114268
2123768
0823868
Stop Event
1×iter limit
1×node limit
Counts
13 → 321
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ beta 2)) 1) 2)
(+ (/ (- beta alpha) (+ beta 2)) 1)
(/ (- beta alpha) (+ beta 2))
(- beta alpha)
(/ 1 alpha)
(+ 1 (/ -1 beta))
(/ -1 beta)
(/ (+ beta 1) alpha)
(+ beta 1)
(+ (/ (- beta alpha) beta) 1)
(/ (+ (/ (- beta alpha) beta) 1) 2)
(/ (- beta alpha) beta)
(+ beta 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta 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 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 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 beta 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 beta #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta 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 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta 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 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 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))
(-.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (-.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 beta (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta 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 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha)))))
(/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta 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 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) alpha (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) alpha)))
(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)))))) (fma.f64 (neg.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (*.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 alpha (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))))))
(+.f64 (fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal -2 binary64)) (/.f64 alpha (+.f64 (*.f64 beta beta) #s(literal -4 binary64)))))) (fma.f64 (neg.f64 (+.f64 beta #s(literal -2 binary64))) (/.f64 alpha (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (*.f64 (+.f64 beta #s(literal -2 binary64)) (/.f64 alpha (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))))
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(*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) beta))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal -1 binary64) beta))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 beta alpha))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 beta (-.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 beta (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)))
(+.f64 beta #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) beta)
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 beta #s(literal -2 binary64))))
(fma.f64 beta #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) beta #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 beta beta) (*.f64 beta #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (+.f64 beta #s(literal -2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (neg.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) (neg.f64 (+.f64 beta #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (+.f64 beta #s(literal -2 binary64))) (*.f64 (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 beta #s(literal -2 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 (*.f64 beta beta) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))))
(*.f64 (+.f64 (*.f64 beta beta) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))))

simplify267.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3572×+-lowering-+.f64
3572×+-lowering-+.f32
3378×*-lowering-*.f32
3378×*-lowering-*.f64
1428×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02541816
18281695
227741598
086941598
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 1/2 (- 1 (* 1/2 alpha)))
(+ (* 1/2 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 (- 1 (* 1/2 alpha))))
(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1/8 alpha) 1/4))) (* 1/2 (+ 1/2 (* 1/4 alpha))))))
(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (+ 1/2 (* 1/4 alpha))) (* beta (+ (* 1/2 (* beta (+ 1/8 (* 1/16 alpha)))) (* 1/2 (- (* -1/8 alpha) 1/4)))))))
1
(+ 1 (* -1/2 (/ (+ 2 alpha) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (* 1/2 (/ (- (* -4 alpha) 8) (pow beta 3))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(* -1/2 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(- 1 (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (* -1/8 alpha) 1/4)))))) (* 1/2 alpha))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (+ (* -1/8 alpha) (* beta (+ 1/8 (* 1/16 alpha)))) 1/4)))))) (* 1/2 alpha))
2
(+ 2 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 2 (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2)))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 2 (+ (* -4 (/ alpha (pow beta 3))) (+ (* 2 (/ alpha (pow beta 2))) (/ 4 (pow beta 2))))) (+ (* 2 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ alpha beta))))
2
(- (+ 2 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(+ 1 (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))
(* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))
(* alpha (- (+ (/ 1 alpha) (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (/ 1 (+ 2 beta)))))
(* -1/2 alpha)
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))
1
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))
(* -1 (/ alpha (+ 2 beta)))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))
(* -1 (/ alpha (+ 2 beta)))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(/ 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 beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 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 (/ alpha beta))
(/ (- (* 2 beta) alpha) beta)
(/ (- (* 2 beta) alpha) beta)
(/ (- (* 2 beta) alpha) beta)
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(* -1 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1/2 (/ alpha beta))
(/ (+ beta (* -1/2 alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(* -1/2 (/ alpha beta))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* -1/2 (/ alpha beta))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(* -1 (* alpha (- (* 1/2 (/ 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)))
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))))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
Outputs
(* 1/2 (- 1 (* 1/2 alpha)))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+ (* 1/2 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 (- 1 (* 1/2 alpha))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64)))))
(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1/8 alpha) 1/4))) (* 1/2 (+ 1/2 (* 1/4 alpha))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (*.f64 (+.f64 (*.f64 beta #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))))))
(+ (* 1/2 (- 1 (* 1/2 alpha))) (* beta (+ (* 1/2 (+ 1/2 (* 1/4 alpha))) (* beta (+ (* 1/2 (* beta (+ 1/8 (* 1/16 alpha)))) (* 1/2 (- (* -1/8 alpha) 1/4)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (*.f64 beta (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 beta (-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))) (+.f64 (*.f64 beta #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 alpha #s(literal -1/2 binary64))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) beta) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))))
(+ 1 (+ (* -1/2 (/ (+ 2 alpha) beta)) (+ (* 1/2 (/ (+ 4 (* 2 alpha)) (pow beta 2))) (* 1/2 (/ (- (* -4 alpha) 8) (pow beta 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal 4 binary64) beta) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 alpha #s(literal -1/2 binary64))) beta))
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) alpha)) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64))) beta)) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(* -1/2 (/ alpha (+ 2 beta)))
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* alpha (- (* 1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* -1/2 (/ alpha (+ 2 beta)))
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(* -1 (* alpha (+ (* -1/2 (/ (+ 1 (/ beta (+ 2 beta))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))
(*.f64 alpha (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 #s(literal -1/2 binary64) (+.f64 beta #s(literal 2 binary64)))))
(- 1 (* 1/2 alpha))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) alpha))
(- (+ 1 (* beta (+ 1/2 (* 1/4 alpha)))) (* 1/2 alpha))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta (-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))) (*.f64 alpha #s(literal -1/2 binary64))))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (* -1/8 alpha) 1/4)))))) (* 1/2 alpha))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta (*.f64 (+.f64 (*.f64 beta #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))))) (*.f64 alpha #s(literal -1/2 binary64))))
(- (+ 1 (* beta (+ 1/2 (+ (* 1/4 alpha) (* beta (- (+ (* -1/8 alpha) (* beta (+ 1/8 (* 1/16 alpha)))) 1/4)))))) (* 1/2 alpha))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 beta (-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))) (+.f64 (*.f64 beta #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (*.f64 alpha (+.f64 (*.f64 beta #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
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(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(-.f64 #s(literal 0 binary64) (/.f64 alpha beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(-.f64 #s(literal 0 binary64) (/.f64 alpha beta))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))

eval70.0ms (0.7%)

Compiler

Compiled 9397 to 1342 computations (85.7% saved)

prune354.0ms (3.6%)

Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New6192621
Fresh055
Picked145
Done088
Total62019639
Accuracy
100.0%
Counts
639 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (/.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))) (*.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)))) #s(literal 2 binary64))
✓49.7%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓78.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓75.9%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓76.4%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
25.5%
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓77.9%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
35.8%
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
✓26.1%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
32.7%
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
8.7%
(/.f64 beta alpha)
✓49.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
66.5%
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
✓20.9%
(/.f64 #s(literal 1 binary64) alpha)
✓33.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓46.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
48.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓39.9%
#s(literal 1 binary64)
✓50.1%
#s(literal 1/2 binary64)
Compiler

Compiled 531 to 235 computations (55.7% saved)

regimes69.0ms (0.7%)

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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.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) 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 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.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 (+.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)))) #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 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

5 calls:

39.0ms
beta
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
alpha
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #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
93.0%2alpha
93.2%2beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes36.0ms (0.4%)

Counts
24 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.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) 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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

22.0ms
(+.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
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
23 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

9.0ms
(/.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))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
21 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.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 (-.f64 beta alpha) (+.f64 (+.f64 alpha 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 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.9%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.9%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
19 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

2 calls:

6.0ms
alpha
6.0ms
beta
Results
AccuracySegmentsBranch
92.7%2alpha
92.5%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
17 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

2 calls:

7.0ms
alpha
5.0ms
beta
Results
AccuracySegmentsBranch
92.5%2beta
92.3%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
13 → 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 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (+.f64 beta (*.f64 alpha #s(literal -1/2 binary64))) beta)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) beta)
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
Calls

2 calls:

6.0ms
beta
4.0ms
alpha
Results
AccuracySegmentsBranch
72.1%2alpha
92.0%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
75.7%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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 beta #s(literal 1/4 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
75.3%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
5 → 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)))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
74.3%2beta
Compiler

Compiled 3 to 2 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
beta
1.0ms
alpha
Results
AccuracySegmentsBranch
50.1%1alpha
50.1%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999976
-0.9925326388290765
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999976
-0.9925326388290765
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999976
-0.9925326388290765
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999976
-0.9925326388290765
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.743926337478778
265.83223071995377
Results
9.0ms112×0valid
Compiler

Compiled 174 to 126 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.9% of total)
ival-add: 2.0ms (40.9% of total)
ival-sub: 1.0ms (20.4% 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
1.5203150921867702e-14
8.925708351694676e-13
Results
6.0ms75×0valid
6.0ms37×1valid
Compiler

Compiled 160 to 126 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.9% of total)
ival-add: 2.0ms (31.9% of total)
ival-sub: 1.0ms (15.9% of total)
backward-pass: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.00047722214548204364
1581.2565388813673
Results
9.0ms96×0valid
8.0ms48×1valid
Compiler

Compiled 164 to 140 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.7% of total)
ival-add: 3.0ms (37.7% of total)
ival-sub: 1.0ms (12.6% of total)
backward-pass: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.00047722214548204364
1581.2565388813673
Results
9.0ms94×0valid
8.0ms50×1valid
Compiler

Compiled 164 to 140 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (48.1% of total)
ival-div: 3.0ms (28.8% of total)
ival-sub: 1.0ms (9.6% of total)
backward-pass: 1.0ms (9.6% of total)
const: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.00047722214548204364
1581.2565388813673
Results
10.0ms106×0valid
6.0ms38×1valid
Compiler

Compiled 128 to 113 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (40.3% of total)
ival-div: 2.0ms (26.9% of total)
ival-sub: 1.0ms (13.4% of total)
backward-pass: 1.0ms (13.4% of total)
const: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.00047722214548204364
1581.2565388813673
Results
13.0ms102×0valid
7.0ms42×1valid
Compiler

Compiled 92 to 86 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.7% of total)
ival-add: 3.0ms (38.7% of total)
ival-sub: 1.0ms (12.9% of total)
backward-pass: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
48×+-commutative_binary64
20×*-commutative_binary64
20×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066241
194241
2107241
3118241
4130241
5137241
6140241
7141241
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 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 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.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 -8962163258467287/9007199254740992 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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 35 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 11/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 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))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 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 -8962163258467287/9007199254740992 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 (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.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 -8962163258467287/9007199254740992 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 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 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 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 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 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -8962163258467287/9007199254740992 binary64)) (/.f64 (+.f64 beta #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 35 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 35 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 8715097876569077/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 11/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 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))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness2.2s (21.8%)

Rules
4236×+-lowering-+.f64
4236×+-lowering-+.f32
4184×/-lowering-/.f32
4184×/-lowering-/.f64
4146×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023130
1208121
22234121
08483121
01040
18640
278040
0852040
04332427
115182169
256322118
081502118
06083197
121092866
271882860
083042860
07334308
125583782
083503782
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
1×iter limit
1×node limit
Compiler

Compiled 557 to 286 computations (48.7% saved)

preprocess63.0ms (0.6%)

Compiler

Compiled 516 to 150 computations (70.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...