Octave 3.8, jcobi/1

Time bar (total: 8.9s)

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)

sample1.8s (19.8%)

Results
618.0ms5965×0valid
479.0ms1943×1valid
101.0ms348×2valid
Precisions
Click to see histograms. Total time spent on operations: 795.0ms
ival-add: 253.0ms (31.8% of total)
ival-div: 249.0ms (31.3% of total)
backward-pass: 87.0ms (10.9% of total)
ival-sub: 84.0ms (10.6% of total)
ival->: 58.0ms (7.3% of total)
const: 47.0ms (5.9% of total)
ival-and: 17.0ms (2.1% of total)
Bogosity

preprocess217.0ms (2.4%)

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)

explain147.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-0-(+.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
73.0ms400×0valid
22.0ms88×1valid
11.0ms24×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 34.0ms (61.3% of total)
ival-div: 9.0ms (16.2% of total)
ival-sub: 5.0ms (9% of total)
backward-pass: 5.0ms (9% of total)
const: 1.0ms (1.8% 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
▶79.0%
(/.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)

simplify193.0ms (2.2%)

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 (0.9%)

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)))
✓accuracy79.0%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
25.0ms200×0valid
16.0ms44×1valid
11.0ms12×2valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 10.0ms (51.9% of total)
ival-div: 5.0ms (26% of total)
ival-sub: 2.0ms (10.4% of total)
backward-pass: 2.0ms (10.4% of total)
const: 1.0ms (5.2% of total)

series15.0ms (0.2%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>
Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
Calls

36 calls:

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

rewrite276.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
2130×*-lowering-*.f32
2130×*-lowering-*.f64
1482×+-lowering-+.f64
1482×+-lowering-+.f32
1406×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01040
13940
213840
371439
4502039
0810039
Stop Event
1×iter limit
1×node limit
Counts
6 → 529
Calls
Call 1
Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
(+ alpha beta)
(+ (+ alpha beta) 2)
Outputs
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #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 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (-.f64 (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -2 binary64))) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.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)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(exp.f64 (neg.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 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 beta (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 alpha (*.f64 #s(literal -2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 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 (+.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 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.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 -2 binary64))
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 4 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.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))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.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 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #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 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.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 #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 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #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 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.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 #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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(-.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 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 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 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (-.f64 #s(literal 0 binary64) (-.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)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 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 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 beta (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
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(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal -2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) (/.f64 beta #s(literal -1 binary64)))
(-.f64 (+.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(fma.f64 beta #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 alpha #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 alpha #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) beta (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 #s(literal 1 binary64) alpha (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 beta alpha) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)) alpha)
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) beta) (neg.f64 (-.f64 #s(literal -2 binary64) alpha)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta) alpha)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha #s(literal -1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 beta #s(literal -1 binary64)) (neg.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal -1 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 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(pow.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 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 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))

simplify283.0ms (3.2%)

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

eval116.0ms (1.3%)

Compiler

Compiled 15840 to 2386 computations (84.9% saved)

prune103.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6649673
Fresh000
Picked101
Done000
Total6659674
Accuracy
100.0%
Counts
674 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.1%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
▶39.4%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶77.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶23.0%
(/.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)
22.2%
(/.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)
23.8%
(/.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)
25.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶43.2%
#s(literal 1 binary64)
Compiler

Compiled 366 to 216 computations (41% saved)

simplify235.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(+.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)))))
✓cost-diff0
(/.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)
✓cost-diff384
(+.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)))
✓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 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 #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))
Rules
2396×+-lowering-+.f64
2396×+-lowering-+.f32
2058×sum4-define
1962×*-lowering-*.f32
1962×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033274
1100259
2345254
31295241
47798241
08033241
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1
1
(/ (+ (/ (- beta alpha) beta) 1) 2)
(+ (/ (- beta alpha) beta) 1)
(/ (- beta alpha) beta)
(- beta alpha)
beta
alpha
1
2
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))))
(+ 1 beta)
1
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))
1/2
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(- (- -2 beta) beta)
(- -2 beta)
-2
(/ (+ 2 beta) alpha)
(+ 2 beta)
2
alpha
(/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))
(* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta)))
(* (+ 2 beta) (+ 2 beta))
(+ beta (+ 2 beta))
(* alpha alpha)
Outputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 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
#s(literal 1 binary64)
(/ (+ (/ (- beta alpha) beta) 1) 2)
(-.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 beta #s(literal 2 binary64))))
(+ (/ (- 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)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
(- 2 (/ (+ 2 (* alpha 2)) beta))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) alpha)) beta))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha)) beta)
(+ 2 (* alpha 2))
(*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))
(* alpha 2)
(*.f64 #s(literal 2 binary64) alpha)
alpha
beta
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha))))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))))
(+.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha)))))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
1
#s(literal 1 binary64)
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta #s(literal 1/2 binary64))) alpha))))
1/2
#s(literal 1/2 binary64)
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha))))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha))
(- (- -2 beta) beta)
(+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
(/ (+ 2 beta) alpha)
(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
alpha
(/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
(* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(* (+ 2 beta) (+ 2 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+ beta (+ 2 beta))
(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
(* alpha alpha)
(*.f64 alpha alpha)

localize191.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))
✓accuracy98.8%
(/.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)
✓accuracy95.8%
(/.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))
✓accuracy87.9%
(+.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)))
✓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 (/.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 (+.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))
Results
143.0ms256×0valid
Compiler

Compiled 310 to 34 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 15.0ms (37.4% of total)
ival-add: 10.0ms (25% of total)
ival-mult: 9.0ms (22.5% of total)
ival-sub: 5.0ms (12.5% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series51.0ms (0.6%)

Counts
19 → 360
Calls
Call 1
Inputs
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (+ (/ (- beta alpha) beta) 1)>
#<alt (/ (+ (/ (- beta alpha) beta) 1) 2)>
#<alt (/ (- beta alpha) beta)>
#<alt (- beta alpha)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))>
#<alt (/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))) alpha)>
#<alt (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))))>
#<alt (+ 1 beta)>
#<alt (* alpha 2)>
#<alt (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))>
#<alt (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta)))>
Outputs
#<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 (/ 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 (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* 1/2 (- 2 (* 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 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))>
#<alt (* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))>
#<alt (* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 3))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (+ (/ 2 (* alpha beta)) (/ 4 (* alpha (pow beta 3)))))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) beta)) (* 6 (/ 1 alpha))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))>
#<alt (/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) alpha)>
#<alt (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha)))>
#<alt (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))>
#<alt (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha)))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (* alpha (pow beta 3)))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3))))))))>
#<alt (/ (pow beta 3) (pow alpha 3))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha))) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)>
#<alt (/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))>
#<alt (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))))>
#<alt (+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))))))>
#<alt (+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))))))>
#<alt (+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (pow beta 3))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))>
#<alt (/ (pow beta 3) (pow alpha 2))>
#<alt (* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) beta)) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))>
#<alt (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))>
#<alt (+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 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 (* 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 (/ 8 (pow alpha 2))>
#<alt (+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt 8>
#<alt (+ 8 (* 16 beta))>
#<alt (+ 8 (* beta (+ 16 (* 10 beta))))>
#<alt (+ 8 (* beta (+ 16 (* beta (+ 10 (* 2 beta))))))>
#<alt (* 2 (pow beta 3))>
#<alt (* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))>
#<alt (* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (/ 16 (pow beta 2)))))>
#<alt (* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))>
#<alt (* 2 (pow beta 3))>
#<alt (* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))>
Calls

90 calls:

TimeVariablePointExpression
13.0ms
beta
@-inf
(+ (/ (- beta alpha) beta) 1)
11.0ms
beta
@inf
(+ (/ (- beta alpha) beta) 1)
2.0ms
alpha
@inf
(- 2 (/ (+ 2 (* alpha 2)) beta))
1.0ms
alpha
@0
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
1.0ms
alpha
@0
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))

rewrite414.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
3104×*-lowering-*.f32
3104×*-lowering-*.f64
1874×/-lowering-/.f32
1874×/-lowering-/.f64
1704×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033193
1153180
2807176
35621172
08066172
Stop Event
1×iter limit
1×node limit
Counts
19 → 876
Calls
Call 1
Inputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(+ (/ (- beta alpha) beta) 1)
(/ (+ (/ (- beta alpha) beta) 1) 2)
(/ (- beta alpha) beta)
(- beta alpha)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))
(/ (+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))))) alpha)
(+ (+ 1 beta) (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha)))))
(+ 1 beta)
(* alpha 2)
(/ (* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta))) (* alpha alpha))
(* (* (+ 2 beta) (+ 2 beta)) (+ beta (+ 2 beta)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))) #s(literal -1/2 binary64))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta))
(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -1 binary64))
(*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) beta))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(+.f64 beta #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) beta)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta))
(neg.f64 (-.f64 #s(literal -2 binary64) beta))
(/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -1 binary64))
(*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) beta))
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(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha alpha)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))) (*.f64 alpha alpha)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha)) (+.f64 beta #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))
(*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta (*.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))
(+.f64 (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))
(+.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)))))
(+.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.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 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (+.f64 (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #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 #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))) (*.f64 beta (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))))
(fma.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (+.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))
(fma.f64 (+.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))
(fma.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))))
(*.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))

simplify335.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4288×*-lowering-*.f32
4288×*-lowering-*.f64
3122×+-lowering-+.f64
3122×+-lowering-+.f32
1812×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05554243
118883763
266663761
080913761
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
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 (/ 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))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* 1/2 (- 2 (* 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))))
(- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 6 (/ 1 alpha))))) (* 4 (/ 1 alpha)))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))
(* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 3))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 6 (/ 1 (* alpha (pow beta 2)))) (+ (/ 2 (* alpha beta)) (/ 4 (* alpha (pow beta 3)))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) beta)) (* 6 (/ 1 alpha))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* -1 (* (+ 2 beta) (+ 2 (* 2 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha))
(/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) alpha)
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (* alpha (pow beta 3)))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow alpha 3))))))))
(/ (pow beta 3) (pow alpha 3))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))) alpha))) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha)))) (* beta (+ 1 (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))))))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 1 (pow beta 2))))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))) (pow beta 3))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow beta 2)) (/ 1 (pow beta 3))))))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (* 4 (/ 1 alpha))))) beta)) (* 1/2 (- (* 6 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 2)))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))) (pow alpha 2))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 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)))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(/ 8 (pow alpha 2))
(+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))
(* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
8
(+ 8 (* 16 beta))
(+ 8 (* beta (+ 16 (* 10 beta))))
(+ 8 (* beta (+ 16 (* beta (+ 10 (* 2 beta))))))
(* 2 (pow beta 3))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (/ 16 (pow beta 2)))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(* 2 (pow beta 3))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 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 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (/.f64 #s(literal 4 binary64) 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 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #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 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) beta))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(*.f64 beta (+.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 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) beta))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
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(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))
8
#s(literal 8 binary64)
(+ 8 (* 16 beta))
(+.f64 #s(literal 8 binary64) (*.f64 beta #s(literal 16 binary64)))
(+ 8 (* beta (+ 16 (* 10 beta))))
(+.f64 #s(literal 8 binary64) (*.f64 beta (+.f64 #s(literal 16 binary64) (*.f64 beta #s(literal 10 binary64)))))
(+ 8 (* beta (+ 16 (* beta (+ 10 (* 2 beta))))))
(+.f64 #s(literal 8 binary64) (*.f64 beta (+.f64 #s(literal 16 binary64) (*.f64 beta (+.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 10 binary64))))))
(* 2 (pow beta 3))
(*.f64 beta (*.f64 beta (*.f64 beta #s(literal 2 binary64))))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) beta)))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (/ 16 (pow beta 2)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 10 binary64) beta) (/.f64 #s(literal 16 binary64) (*.f64 beta beta)))))
(* (pow beta 3) (+ 2 (+ (* 10 (/ 1 beta)) (+ (* 8 (/ 1 (pow beta 3))) (/ 16 (pow beta 2))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) beta)) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) beta) (/.f64 #s(literal 16 binary64) (*.f64 beta beta)))))
(* 2 (pow beta 3))
(*.f64 beta (*.f64 beta (*.f64 beta #s(literal 2 binary64))))
(* (pow beta 3) (+ 2 (* 10 (/ 1 beta))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 10 binary64) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (* 16 (/ 1 beta))) beta)) 2)))
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 10 binary64) (/.f64 #s(literal 16 binary64) beta))) beta)) (neg.f64 (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 10 (+ (* 16 (/ 1 beta)) (/ 8 (pow beta 2)))) beta)) 2)))
(*.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 10 binary64) (/.f64 #s(literal 16 binary64) beta)) (/.f64 #s(literal 8 binary64) (*.f64 beta beta))) (neg.f64 beta))) (neg.f64 (*.f64 beta (*.f64 beta beta))))

eval330.0ms (3.7%)

Compiler

Compiled 49200 to 4956 computations (89.9% saved)

prune157.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New131771324
Fresh224
Picked325
Done000
Total1322111333
Accuracy
100.0%
Counts
1333 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶24.0%
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64))))))
▶49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓77.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
22.2%
(/.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)
25.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
22.5%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
▶36.1%
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
▶36.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
44.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
✓43.2%
#s(literal 1 binary64)
▶49.0%
#s(literal 1/2 binary64)
Compiler

Compiled 344 to 215 computations (37.5% saved)

simplify315.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff128
(*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64))))))
✓cost-diff256
(+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(+.f64 #s(literal -1 binary64) (-.f64 beta alpha))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
✓cost-diff0
(/.f64 #s(literal -1 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓cost-diff0
(+.f64 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.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))
Rules
3056×*-lowering-*.f32
3056×*-lowering-*.f64
1936×+-lowering-+.f64
1936×+-lowering-+.f32
1934×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032289
189266
2286266
31141245
45990240
08106240
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
1
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
1/2
(+ 1 (/ -1 beta))
1
(/ -1 beta)
-1
beta
(/ (+ -1 (- beta alpha)) beta)
(+ -1 (- beta alpha))
-1
(- beta alpha)
beta
alpha
(/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))
(/ 1 alpha)
1
alpha
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))
-1
(- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))
(+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))
beta
(* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)
(* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)))
(/ (+ beta 2) alpha)
(+ beta 2)
2
(+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))
(+ -2 (* beta -2))
-2
(* beta -2)
(/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)
(* (+ beta 2) (+ 2 (* beta 2)))
(+ 2 (* beta 2))
(* beta 2)
1/2
Outputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64)))
(- 1 (/ alpha (+ alpha 2)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
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)
1/2
#s(literal 1/2 binary64)
(+ 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
(/ (+ -1 (- beta alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
(+ -1 (- beta alpha))
(+.f64 beta (-.f64 #s(literal -1 binary64) alpha))
-1
#s(literal -1 binary64)
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))
(/.f64 (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))))) (-.f64 #s(literal 0 binary64) alpha))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))))))
-1
#s(literal -1 binary64)
(- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))
(-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))))))
(+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))
(+.f64 beta (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))))
beta
(* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))))
(* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha))) alpha)
(/ (+ beta 2) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)
(+ beta 2)
(+.f64 #s(literal 2 binary64) beta)
2
#s(literal 2 binary64)
(+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)))
(+ -2 (* beta -2))
(+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
(* beta -2)
(*.f64 beta #s(literal -2 binary64))
(/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))
(* (+ beta 2) (+ 2 (* beta 2)))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) beta)))
(+ 2 (* beta 2))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))
(* beta 2)
(*.f64 #s(literal 2 binary64) beta)
1/2
#s(literal 1/2 binary64)

localize303.0ms (3.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)))
✓accuracy99.4%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64)))))
✓accuracy98.8%
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64))))))
✓accuracy98.1%
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha)
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (-.f64 beta alpha))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 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)))
✓accuracy74.0%
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
Results
156.0ms70×1valid
93.0ms186×0valid
Compiler

Compiled 301 to 33 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 21.0ms (31.6% of total)
ival-add: 21.0ms (31.6% of total)
ival-mult: 10.0ms (15% of total)
backward-pass: 9.0ms (13.5% of total)
ival-sub: 5.0ms (7.5% of total)
const: 1.0ms (1.5% of total)

series111.0ms (1.2%)

Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (/ (+ -1 (- beta alpha)) beta)>
#<alt (+ -1 (- beta alpha))>
#<alt (- beta alpha)>
#<alt (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))>
#<alt (/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))>
#<alt (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)>
#<alt (/ 1 alpha)>
#<alt (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)>
#<alt (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))>
#<alt (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)))>
Outputs
#<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 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 (/ (+ 1 alpha) beta))>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (/ (- beta 1) beta)>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
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#<alt (+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))>
#<alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (pow alpha 2))) (/ 1 (+ 1 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (+ 1 beta))) (* -1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (pow (+ 1 beta) 3)))) (pow alpha 3))) (/ 1 (+ 1 beta))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* (pow alpha 2) (pow (+ 1 beta) 2)))))))>
#<alt (/ 1 (+ 1 beta))>
#<alt (+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))>
#<alt (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))))) alpha)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))>
#<alt (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))>
#<alt (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))>
#<alt (* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)>
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))>
Calls

75 calls:

TimeVariablePointExpression
80.0ms
beta
@-inf
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))
5.0ms
alpha
@0
(/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))
2.0ms
beta
@0
(/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))
2.0ms
beta
@0
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))
1.0ms
beta
@inf
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))

rewrite406.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
2998×*-lowering-*.f32
2998×*-lowering-*.f64
2684×+-lowering-+.f64
2684×+-lowering-+.f32
1716×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032185
1142170
2781167
36564167
08495167
Stop Event
1×iter limit
1×node limit
Counts
16 → 864
Calls
Call 1
Inputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
(+ alpha 2)
(+ 1 (/ -1 beta))
(/ -1 beta)
(/ (+ -1 (- beta alpha)) beta)
(+ -1 (- beta alpha))
(- beta alpha)
(+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))
(/ (/ 1 alpha) (/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)))))
(* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2)
(/ 1 alpha)
(/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)
(/ -1 (- -1 (+ beta (* (* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha))) 1/2))))
(* (/ (+ beta 2) alpha) (+ (+ -2 (* beta -2)) (/ (* (+ beta 2) (+ 2 (* beta 2))) alpha)))
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1 binary64)))
(+.f64 (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #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 #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) alpha)))))
(*.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) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(+.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.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))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) alpha)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(neg.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
(/.f64 alpha (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)))
(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha) #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) alpha)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) alpha)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(+.f64 alpha #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) alpha)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) alpha))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) beta))
(neg.f64 (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta))
(/.f64 #s(literal -1 binary64) beta)
(/.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) beta) (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 beta alpha)))
(+.f64 (/.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) beta)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) beta) beta) (neg.f64 (/.f64 alpha beta)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) beta) beta) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) beta)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 beta alpha)) (/.f64 #s(literal -1 binary64) beta))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) beta) beta) (*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -1 binary64) beta)) (*.f64 (/.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)))
(+.f64 (*.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal -1 binary64) beta))
(+.f64 (*.f64 beta (/.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 #s(literal 1 binary64) beta)))
(+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) beta) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) beta) alpha))) (fma.f64 (/.f64 #s(literal -1 binary64) beta) alpha (*.f64 (/.f64 #s(literal 1 binary64) beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) beta))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) beta) beta) (/.f64 alpha beta))
(-.f64 (/.f64 beta beta) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) beta)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) beta))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) beta))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) beta)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 beta alpha))))
(/.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal 1 binary64) (-.f64 beta alpha))))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) beta) beta) (*.f64 beta alpha)) (*.f64 beta beta))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 beta alpha))) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)) beta)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) #s(literal -1 binary64)) beta)
(pow.f64 (/.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 beta alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)) beta))
(*.f64 (/.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal 1 binary64) (-.f64 beta alpha)))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta) #s(literal 1 binary64))
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(fma.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))
(*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha))
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(+.f64 (/.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) (/.f64 #s(literal 1 binary64) alpha)))
(+.f64 (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha) (/.f64 #s(literal 1 binary64) alpha))
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(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha)) (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -1 binary64) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) beta) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))))) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha))
(-.f64 (/.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64) (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal -1 binary64) (/.f64 (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) alpha))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))))))
(/.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))) alpha) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))) alpha)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha) #s(literal -1 binary64))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))) alpha))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))) alpha) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1/2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) alpha) #s(literal -1 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (-.f64 #s(literal -2 binary64) beta)))) (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (-.f64 #s(literal -2 binary64) beta)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (*.f64 beta #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) (*.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))))
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(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) #s(literal -1 binary64))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) alpha) (+.f64 #s(literal 2 binary64) beta))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) alpha) (/.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) alpha) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 alpha (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 #s(literal -2 binary64) beta))

simplify436.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
5650×*-lowering-*.f32
5650×*-lowering-*.f64
4298×+-lowering-+.f64
4298×+-lowering-+.f32
1464×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07535930
126605327
083675327
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
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 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 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(/ (- beta 1) beta)
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (+ 1 alpha))
(- beta (+ 1 alpha))
(- beta (+ 1 alpha))
(- beta (+ 1 alpha))
beta
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta))))
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta))))
(* beta (+ 1 (* -1 (/ (+ 1 alpha) beta))))
beta
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1)))
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1)))
(* -1 (* beta (- (+ (/ 1 beta) (/ alpha beta)) 1)))
(- beta 1)
(- (+ beta (* -1 alpha)) 1)
(- (+ beta (* -1 alpha)) 1)
(- (+ beta (* -1 alpha)) 1)
(* -1 alpha)
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha))))
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha))))
(* alpha (- (/ beta alpha) (+ 1 (/ 1 alpha))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ (- beta 1) alpha)))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 2 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 6 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (+ (* alpha (- (* -2 beta) 2)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* alpha (- (* -2 beta) 2)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(/ (+ (* alpha (- (* -2 beta) 2)) (* (+ 2 beta) (+ 2 (* 2 beta)))) alpha)
(- (* -2 beta) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(- (* -2 beta) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(- (+ (* -2 beta) (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) 2)
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 3)))
(/ (+ (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (pow alpha 3))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(/ (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)
(- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (/ 1 alpha))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) alpha)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
(/ (pow beta 3) (pow alpha 3))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (/ 1 (pow alpha 3))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow alpha 3))))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
(/ (pow beta 3) (pow alpha 3))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha)) (/ 1 (* alpha beta))) (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) (* alpha beta)))) beta)) (/ 1 (pow alpha 3)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) alpha)))) (/ 2 (* (pow alpha 2) beta))) (+ (/ 1 (* alpha beta)) (/ 4 (* (pow alpha 3) beta)))) beta)) (* 1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 3)))))
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(- (+ (* 1/2 (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(/ (pow beta 3) (pow alpha 2))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 4 (* (pow alpha 2) (pow beta 3)))))) (/ 2 (* alpha (pow beta 3)))))
(/ (pow beta 3) (pow alpha 2))
(* -1 (* (pow beta 3) (- (* -1/2 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(/ (+ (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) 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)
(/ 4 alpha)
(+ (* 6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(* (pow beta 2) (+ (* 2 (/ 1 alpha)) (+ (/ 4 (* alpha (pow beta 2))) (/ 6 (* alpha beta)))))
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)
(/ 1 (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))
(+ (* -1 (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))))) (/ 1 (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2)))) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2)))))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))))) (/ 1 (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (+ (* -1 (/ (* (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2)))) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))))) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (+ (* -1/2 (/ (* (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (/ 1 (* (pow alpha 2) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))))))) (+ (* -1 (/ (* (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2)))) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2)))))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))) (/ 1 (pow (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) 2))))) (/ 1 (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(/ (pow alpha 2) (pow beta 3))
(/ (+ (* -1/2 (/ (* (pow alpha 4) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) beta)) (pow alpha 2)) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1/4 (* (pow alpha 6) (pow (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) 2))) (* (pow alpha 4) (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))))) (pow beta 2))) (pow alpha 2)) (* 1/2 (/ (* (pow alpha 4) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) beta))) (pow beta 3))
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (pow alpha 2) (* (+ (* -1/4 (* (pow alpha 6) (pow (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) 2))) (* (pow alpha 4) (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))))) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (+ (* -1/2 (* (pow alpha 6) (* (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))))) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* (pow alpha 4) (- (+ 1 (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (pow beta 3))) (pow alpha 2)) (+ (* -1/4 (/ (* (pow alpha 6) (pow (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) 2)) (pow beta 2))) (+ (* 1/2 (/ (* (pow alpha 4) (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) beta)) (/ (* (pow alpha 4) (+ 1 (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (pow beta 2))))) (pow beta 3))
(/ (pow alpha 2) (pow beta 3))
(* -1 (/ (+ (* -1 (pow alpha 2)) (* 1/2 (/ (* (pow alpha 4) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))))) beta)) (* 1/4 (/ (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2)) beta))) (* 1/2 (* (pow alpha 4) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 2))) (pow beta 3)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow alpha 4) (- (* 2 (/ 1 alpha)) (+ 1 (* 4 (/ 1 (pow alpha 2)))))) beta)) (+ (* -1/2 (/ (* (pow alpha 6) (* (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) beta)) (* 1/2 (/ (* (pow alpha 2) (* (+ (* -1 (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) (* 1/4 (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2)))) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)))) (+ (* -1 (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) (* 1/4 (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2))))) beta)) (* 1/2 (* (pow alpha 4) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 2))) (pow beta 3)))
(* 2 (/ (pow alpha 2) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))
(* (pow alpha 2) (+ (* -2 (/ (* alpha (- (* -2 beta) 2)) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ (- (* -2 beta) 2) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (+ 1 beta) (- (* -2 beta) 2)) (* (pow (+ 2 beta) 5) (pow (+ 2 (* 2 beta)) 3)))) (* -1 (/ (* (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))) (- (* -2 beta) 2)) (* (+ 2 beta) (+ 2 (* 2 beta)))))))) (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ (- (* -2 beta) 2) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(/ 1 (+ 1 beta))
(+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (pow alpha 2))) (/ 1 (+ 1 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (+ 1 beta))) (* -1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (pow (+ 1 beta) 3)))) (pow alpha 3))) (/ 1 (+ 1 beta))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* (pow alpha 2) (pow (+ 1 beta) 2)))))))
(/ 1 (+ 1 beta))
(+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))))) alpha)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))
(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))) #s(literal -1/4 binary64))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha))))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64)))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))) (+.f64 (/.f64 #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 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* 1/2 alpha)
(*.f64 #s(literal 1/2 binary64) alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))) #s(literal -1/4 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 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (-.f64 (/.f64 #s(literal -2 binary64) 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
#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))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
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(- (+ (* beta (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)) (/ beta (pow alpha 3)))) (/ 1 alpha)))) (+ (/ 1 alpha) (/ 4 (pow alpha 3)))) (/ 2 (pow alpha 2)))
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(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (* alpha beta))) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (* alpha (pow beta 2)))) (+ (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (* alpha (pow beta 3))) (+ (/ 1 (pow alpha 3)) (/ 4 (* (pow alpha 3) (pow beta 3)))))))) (/ 2 (* (pow alpha 2) (pow beta 3)))))
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(- (+ (* beta (+ (* 1/2 (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))) (* beta (+ (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))) (/ beta (pow alpha 2)))))) (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
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(/ (pow beta 3) (pow alpha 2))
(/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha alpha))
(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
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(* (pow beta 3) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (/ 1 (pow alpha 2)))))
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(* (pow beta 3) (- (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha))) (pow beta 2))) (+ (/ 1 (pow alpha 2)) (/ 4 (* (pow alpha 2) (pow beta 3)))))) (/ 2 (* alpha (pow beta 3)))))
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(/ (pow beta 3) (pow alpha 2))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))) beta)) (* 1/2 (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 2)))))
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(* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))
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(/ (+ (* 1/2 (* alpha (* (+ 2 beta) (- (* -2 beta) 2)))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow alpha 2))
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(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))
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(* -1 (/ (+ (* -1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
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(/ (pow alpha 2) (pow beta 3))
(/.f64 (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))))) beta)) (* 1/4 (/ (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2)) beta))) (* 1/2 (* (pow alpha 4) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 2))) (pow beta 3)))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow alpha 4) (- (* 2 (/ 1 alpha)) (+ 1 (* 4 (/ 1 (pow alpha 2)))))) beta)) (+ (* -1/2 (/ (* (pow alpha 6) (* (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) beta)) (* 1/2 (/ (* (pow alpha 2) (* (+ (* -1 (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) (* 1/4 (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2)))) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))))) beta)))) (+ (* -1 (* (pow alpha 4) (- 1 (* 1/2 (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))))))) (* 1/4 (* (pow alpha 6) (pow (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) 2))))) beta)) (* 1/2 (* (pow alpha 4) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))))) beta)) (* -1 (pow alpha 2))) (pow beta 3)))
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(* 2 (/ (pow alpha 2) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))
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(* (pow alpha 2) (+ (* -2 (/ (* alpha (- (* -2 beta) 2)) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
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(* (pow alpha 2) (+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ (- (* -2 beta) 2) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
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(* (pow alpha 2) (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -4 (/ (* (+ 1 beta) (- (* -2 beta) 2)) (* (pow (+ 2 beta) 5) (pow (+ 2 (* 2 beta)) 3)))) (* -1 (/ (* (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))) (- (* -2 beta) 2)) (* (+ 2 beta) (+ 2 (* 2 beta)))))))) (+ (* -2 (/ (pow (- (* -2 beta) 2) 2) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 3)))) (* 4 (/ (+ 1 beta) (* (pow (+ 2 beta) 4) (pow (+ 2 (* 2 beta)) 2))))))) (* 2 (/ (- (* -2 beta) 2) (* (pow (+ 2 beta) 3) (pow (+ 2 (* 2 beta)) 2)))))) (* 2 (/ 1 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))))))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (*.f64 alpha (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))) (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))))))
(/ 1 (+ 1 beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))
(+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))
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(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (pow alpha 2))) (/ 1 (+ 1 beta))) (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))))
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(- (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (+ 1 beta))) (* -1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (pow (+ 1 beta) 3)))) (pow alpha 3))) (/ 1 (+ 1 beta))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* (pow alpha 2) (pow (+ 1 beta) 3)))) (+ (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* (pow alpha 2) (pow (+ 1 beta) 2)))))))
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(/ 1 (+ 1 beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))
(+ (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (* alpha (pow (+ 1 beta) 2)))) (/ 1 (+ 1 beta)))
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (* alpha (pow (+ 1 beta) 2))))) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))
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(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (/ (* (pow (+ 2 beta) 3) (* (+ 2 (* 2 beta)) (- (* -2 beta) 2))) (* alpha (pow (+ 1 beta) 3)))) (* 1/2 (/ (* (+ 2 beta) (* (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2)))) (- (* -2 beta) 2))) (* alpha (+ 1 beta))))) (+ (* -1/4 (/ (* (pow (+ 2 beta) 2) (pow (- (* -2 beta) 2) 2)) (pow (+ 1 beta) 3))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow (+ 1 beta) 2))))) alpha)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow (+ 1 beta) 2)))) alpha)) (/ 1 (+ 1 beta)))
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(* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (* 4 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))
(+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) #s(literal -4 binary64)) alpha) (/.f64 #s(literal -2 binary64) alpha)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta (+.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) #s(literal -4 binary64)) alpha) (+.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha))))))
(+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) alpha)) (+ (* 4 (/ 1 (pow alpha 2))) (* beta (- (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2)))) (* 2 (/ 1 alpha)))))) (* 2 (/ 1 alpha)))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) #s(literal -4 binary64)) alpha)) (-.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 2 binary64) alpha)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))
(* (pow beta 3) (- (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) beta)))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 10 binary64) (*.f64 (*.f64 alpha alpha) beta))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) (-.f64 (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal 2 binary64)) #s(literal -4 binary64)) (*.f64 alpha (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))))))
(* (pow beta 3) (- (+ (* 2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha (pow beta 3)))) (+ (* 2 (/ (- (* 6 (/ 1 alpha)) 2) (* alpha (pow beta 2)))) (+ (* 4 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta)))))) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 2 (* alpha beta)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) (*.f64 alpha (*.f64 beta (*.f64 beta beta)))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) #s(literal -2 binary64)) (*.f64 alpha (*.f64 beta beta))))) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 10 binary64) (*.f64 (*.f64 alpha alpha) beta))) (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta))))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha alpha))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -6 binary64) alpha)) alpha)) (neg.f64 beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -6 binary64) alpha)) alpha)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -6 binary64) alpha))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) beta)) (neg.f64 beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* 4 (/ 1 alpha)) 2) (* alpha beta))) (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* 2 (/ (- 2 (* 6 (/ 1 alpha))) alpha)))) beta)) (+ (* -1 (/ (- 2 (* 6 (/ 1 alpha))) alpha)) (* 4 (/ 1 (pow alpha 2))))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -6 binary64) alpha)) alpha)) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -6 binary64) alpha))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))) (*.f64 alpha beta))) beta)) (neg.f64 beta)) (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))) (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 alpha (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 alpha (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (+ (* alpha (* (+ 2 beta) (- (* -2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (pow alpha 2))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 alpha (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (+ (* (+ 2 beta) (- (* -2 beta) 2)) (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) alpha)
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64)) alpha))
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(* -1 (/ (+ (* -1 (* (+ 2 beta) (- (* -2 beta) 2))) (* -1 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)

eval196.0ms (2.2%)

Compiler

Compiled 47229 to 6475 computations (86.3% saved)

prune168.0ms (1.9%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New115861164
Fresh224
Picked145
Done022
Total1161141175
Accuracy
100.0%
Counts
1175 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))
✓49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
▶21.4%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓77.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶22.5%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
21.2%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
▶25.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓36.1%
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
▶22.4%
(/.f64 #s(literal 1 binary64) alpha)
✓36.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
44.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
▶47.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓43.2%
#s(literal 1 binary64)
✓49.0%
#s(literal 1/2 binary64)
Compiler

Compiled 224 to 168 computations (25% saved)

simplify131.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64))
✓cost-diff0
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓cost-diff0
(*.f64 alpha alpha)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
✓cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
✓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) alpha)
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) alpha)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
Rules
2424×sum3-define
1766×fmm-def
1668×fma-lowering-fma.f32
1668×fma-lowering-fma.f64
1600×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029141
147138
266136
389136
4127134
5223134
6503134
71521134
85983134
08209134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* -1/4 alpha))
1/2
(* -1/4 alpha)
-1/4
alpha
(/ 1 alpha)
1
alpha
(/ (+ beta 1) alpha)
(+ beta 1)
beta
1
alpha
(/ (+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha))) alpha)
(+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha)))
(/ 4 (* alpha alpha))
4
(* alpha alpha)
alpha
(+ 1 (/ -2 alpha))
1
(/ -2 alpha)
-2
(/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))
(+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1)
(/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha))
(+ (/ (+ (/ -8 alpha) 4) alpha) -2)
(/ (+ (/ -8 alpha) 4) alpha)
(+ (/ -8 alpha) 4)
(/ -8 alpha)
-8
alpha
4
-2
(- 0 alpha)
0
-1
Outputs
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
1/2
#s(literal 1/2 binary64)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
-1/4
#s(literal -1/4 binary64)
alpha
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(/ (+ beta 1) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ beta 1)
(+.f64 #s(literal 1 binary64) beta)
beta
1
#s(literal 1 binary64)
alpha
(/ (+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha))) alpha)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) alpha) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha)))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) alpha) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(/ 4 (* alpha alpha))
(/.f64 (/.f64 #s(literal 4 binary64) alpha) alpha)
4
#s(literal 4 binary64)
(* alpha alpha)
(*.f64 alpha 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)
(/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))
(/.f64 (+.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)) alpha)
(+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1)
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha) #s(literal -1 binary64))
(/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha)) alpha)
(+ (/ (+ (/ -8 alpha) 4) alpha) -2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(/ (+ (/ -8 alpha) 4) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(+ (/ -8 alpha) 4)
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(/ -8 alpha)
(/.f64 #s(literal -8 binary64) alpha)
-8
#s(literal -8 binary64)
alpha
4
#s(literal 4 binary64)
-2
#s(literal -2 binary64)
(- 0 alpha)
(-.f64 #s(literal 0 binary64) alpha)
0
#s(literal 0 binary64)
-1
#s(literal -1 binary64)

localize153.0ms (1.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
✓accuracy99.4%
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
✓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) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) alpha)
Results
120.0ms256×0valid
Compiler

Compiled 154 to 30 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 29.0ms (54.5% of total)
ival-mult: 13.0ms (24.4% of total)
ival-add: 9.0ms (16.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.5%)

Counts
16 → 204
Calls
Call 1
Inputs
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ (+ beta 1) alpha)>
#<alt (+ beta 1)>
#<alt (/ (+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha))) alpha)>
#<alt (+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha)))>
#<alt (/ 4 (* alpha alpha))>
#<alt (* alpha alpha)>
#<alt (/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))>
#<alt (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha))>
#<alt (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1)>
#<alt (+ (/ (+ (/ -8 alpha) 4) alpha) -2)>
#<alt (+ 1 (/ -2 alpha))>
#<alt (/ (+ (/ -8 alpha) 4) alpha)>
#<alt (+ (/ -8 alpha) 4)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* -1/4 alpha)>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ 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 (/ 4 (pow alpha 3))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 3))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))>
#<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))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 2))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))>
#<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)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ 4 (pow alpha 2))>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (/ -8 (pow alpha 4))>
#<alt (/ (- (* 4 alpha) 8) (pow alpha 4))>
#<alt (/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 4))>
#<alt (/ (- (* alpha (+ 4 (* alpha (- alpha 2)))) 8) (pow alpha 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 (/ 8 (pow alpha 3))>
#<alt (/ (+ 8 (* -4 alpha)) (pow alpha 3))>
#<alt (/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))>
#<alt (/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))>
#<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))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (/ 8 (pow alpha 3))>
#<alt (/ (+ 8 (* -4 alpha)) (pow alpha 3))>
#<alt (/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))>
#<alt (/ (+ 8 (* alpha (- (* alpha (+ 2 (* -1 alpha))) 4))) (pow alpha 3))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))>
#<alt (- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 alpha)) 1)>
#<alt (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)>
#<alt (/ -8 (pow alpha 2))>
#<alt (/ (- (* 4 alpha) 8) (pow alpha 2))>
#<alt (/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))>
#<alt (/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))>
#<alt -2>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))>
#<alt (- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))>
#<alt -2>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)>
#<alt (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)>
#<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 (/ -8 (pow alpha 2))>
#<alt (/ (- (* 4 alpha) 8) (pow alpha 2))>
#<alt (/ (- (* 4 alpha) 8) (pow alpha 2))>
#<alt (/ (- (* 4 alpha) 8) (pow alpha 2))>
#<alt (/ 4 alpha)>
#<alt (/ (- 4 (* 8 (/ 1 alpha))) alpha)>
#<alt (/ (- 4 (* 8 (/ 1 alpha))) alpha)>
#<alt (/ (- 4 (* 8 (/ 1 alpha))) alpha)>
#<alt (/ 4 alpha)>
#<alt (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))>
#<alt (/ -8 alpha)>
#<alt (/ (- (* 4 alpha) 8) alpha)>
#<alt (/ (- (* 4 alpha) 8) alpha)>
#<alt (/ (- (* 4 alpha) 8) alpha)>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 alpha)))>
#<alt (- 4 (* 8 (/ 1 alpha)))>
#<alt (- 4 (* 8 (/ 1 alpha)))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 alpha)))>
#<alt (- 4 (* 8 (/ 1 alpha)))>
#<alt (- 4 (* 8 (/ 1 alpha)))>
Calls

51 calls:

TimeVariablePointExpression
36.0ms
alpha
@inf
(/ 4 (* alpha alpha))
0.0ms
alpha
@inf
(/ (+ beta 1) alpha)
0.0ms
alpha
@-inf
(/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))
0.0ms
alpha
@0
(/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))
0.0ms
alpha
@0
(/ 4 (* alpha alpha))

rewrite235.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2458×/-lowering-/.f32
2458×/-lowering-/.f64
2404×*-lowering-*.f32
2404×*-lowering-*.f64
1652×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029115
1106112
2411108
32190108
08519108
Stop Event
1×iter limit
1×node limit
Counts
16 → 625
Calls
Call 1
Inputs
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(/ 1 alpha)
(/ (+ beta 1) alpha)
(+ beta 1)
(/ (+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha))) alpha)
(+ (/ 4 (* alpha alpha)) (+ 1 (/ -2 alpha)))
(/ 4 (* alpha alpha))
(* alpha alpha)
(/ (+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1) (- 0 alpha))
(/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha))
(+ (/ (+ (/ (+ (/ -8 alpha) 4) alpha) -2) (- 0 alpha)) -1)
(+ (/ (+ (/ -8 alpha) 4) alpha) -2)
(+ 1 (/ -2 alpha))
(/ (+ (/ -8 alpha) 4) alpha)
(+ (/ -8 alpha) 4)
Outputs
(+.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(literal -4 binary64)))
(+.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 alpha #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha #s(literal 4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) alpha) #s(literal 1/2 binary64))
(fma.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 alpha #s(literal -4 binary64)))
(+.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 alpha #s(literal 4 binary64)))
(-.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 alpha #s(literal 4 binary64)))
(neg.f64 (*.f64 #s(literal 1/4 binary64) alpha))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) alpha))
(/.f64 alpha #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
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(fma.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64)))))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))) (/.f64 #s(literal 4 binary64) alpha))
(+.f64 (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha) (/.f64 #s(literal 4 binary64) alpha))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 8 binary64) alpha)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64)))) (/.f64 #s(literal 4 binary64) alpha))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha)) (/.f64 #s(literal 4 binary64) alpha))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 8 binary64) alpha)) (*.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha))
(-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal 8 binary64) alpha) alpha))
(-.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal -8 binary64) alpha) (-.f64 #s(literal 0 binary64) alpha)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))) (/.f64 #s(literal -4 binary64) alpha))
(-.f64 (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha) (/.f64 #s(literal -4 binary64) alpha))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) alpha) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -8 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(fma.f64 (/.f64 #s(literal -8 binary64) alpha) (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 4 binary64) alpha))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) alpha) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) alpha) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(fma.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 alpha #s(literal -8 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) alpha) alpha))
(neg.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha))))
(/.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) alpha) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) (*.f64 alpha alpha))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))) (-.f64 #s(literal 0 binary64) (*.f64 alpha alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal 1 binary64))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) alpha) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) alpha) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) alpha))
(-.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal -4 binary64))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -8 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) alpha) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) alpha) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) alpha) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) alpha) #s(literal 8 binary64) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -1 binary64) #s(literal 4 binary64))
(neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))
(*.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) alpha)) #s(literal -1 binary64))

simplify245.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2458×*-lowering-*.f32
2458×*-lowering-*.f64
1604×--lowering--.f32
1604×--lowering--.f64
1526×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271195
13711070
28891058
321341037
473241037
082441037
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* -1/4 alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(+ (/ 1 alpha) (/ 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)))
(/ 4 (pow alpha 3))
(/ (+ 4 (* -2 alpha)) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(/ 4 (pow alpha 2))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(/ -8 (pow alpha 4))
(/ (- (* 4 alpha) 8) (pow alpha 4))
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 4))
(/ (- (* alpha (+ 4 (* alpha (- alpha 2)))) 8) (pow alpha 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))
(/ 8 (pow alpha 3))
(/ (+ 8 (* -4 alpha)) (pow alpha 3))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/ 8 (pow alpha 3))
(/ (+ 8 (* -4 alpha)) (pow alpha 3))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/ (+ 8 (* alpha (- (* alpha (+ 2 (* -1 alpha))) 4))) (pow alpha 3))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
-1
(- (* 2 (/ 1 alpha)) 1)
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(/ -8 (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))
(- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)
(- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)
(/ -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)))
(/ -8 (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/ 4 alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/ 4 alpha)
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(/ -8 alpha)
(/ (- (* 4 alpha) 8) alpha)
(/ (- (* 4 alpha) 8) alpha)
(/ (- (* 4 alpha) 8) alpha)
4
(- 4 (* 8 (/ 1 alpha)))
(- 4 (* 8 (/ 1 alpha)))
(- 4 (* 8 (/ 1 alpha)))
4
(- 4 (* 8 (/ 1 alpha)))
(- 4 (* 8 (/ 1 alpha)))
(- 4 (* 8 (/ 1 alpha)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(+ 1/2 (* -1/4 alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(+ 1/2 (* -1/4 alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(/ 4 (pow alpha 3))
(/.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 4 (* -2 alpha)) (pow alpha 3))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (*.f64 alpha alpha))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha))
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)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) 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 (* 4 (/ 1 alpha))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(pow alpha 2)
(*.f64 alpha alpha)
(/ -8 (pow alpha 4))
(/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha (*.f64 alpha alpha))))
(/ (- (* 4 alpha) 8) (pow alpha 4))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) (*.f64 alpha alpha))
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 4))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 alpha (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))))) (*.f64 alpha (*.f64 alpha (*.f64 alpha alpha))))
(/ (- (* alpha (+ 4 (* alpha (- alpha 2)))) 8) (pow alpha 4))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 alpha (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))))) (*.f64 alpha (*.f64 alpha (*.f64 alpha alpha))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.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)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.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)) alpha)
(/ 8 (pow alpha 3))
(/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 8 (* -4 alpha)) (pow alpha 3))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (*.f64 alpha alpha))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) 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 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)
(/ 8 (pow alpha 3))
(/.f64 #s(literal 8 binary64) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 8 (* -4 alpha)) (pow alpha 3))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) (*.f64 alpha alpha))
(/ (+ 8 (* alpha (- (* 2 alpha) 4))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (+.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 8 (* alpha (- (* alpha (+ 2 (* -1 alpha))) 4))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 alpha (+.f64 #s(literal -4 binary64) (*.f64 alpha (-.f64 #s(literal 2 binary64) alpha))))) (*.f64 alpha (*.f64 alpha alpha)))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (* 2 (/ 1 alpha)) (+ 1 (/ 4 (pow alpha 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(- (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))) (+ 1 (/ 4 (pow alpha 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 alpha)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha))
(/ -8 (pow alpha 2))
(/.f64 #s(literal -8 binary64) (*.f64 alpha alpha))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- (* alpha (+ 4 (* -2 alpha))) 8) (pow alpha 2))
(/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal -8 binary64) alpha)) alpha)
-2
#s(literal -2 binary64)
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(- (* 4 (/ 1 alpha)) (+ 2 (/ 8 (pow alpha 2))))
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
-2
#s(literal -2 binary64)
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha))
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ -8 (pow alpha 2))
(/.f64 #s(literal -8 binary64) (*.f64 alpha alpha))
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- (* 4 alpha) 8) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ (- 4 (* 8 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)
(/ -8 alpha)
(/.f64 #s(literal -8 binary64) alpha)
(/ (- (* 4 alpha) 8) alpha)
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(/ (- (* 4 alpha) 8) alpha)
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(/ (- (* 4 alpha) 8) alpha)
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))
(- 4 (* 8 (/ 1 alpha)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))

eval139.0ms (1.6%)

Compiler

Compiled 12187 to 1869 computations (84.7% saved)

prune102.0ms (1.1%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New8254829
Fresh123
Picked235
Done066
Total82815843
Accuracy
100.0%
Counts
843 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.3%
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha)) alpha)
✓49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
22.5%
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 1 binary64)) alpha)
✓77.6%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
21.2%
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
✓25.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
21.4%
(/.f64 (+.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)) alpha)
✓36.1%
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
6.7%
(/.f64 beta alpha)
✓22.4%
(/.f64 #s(literal 1 binary64) alpha)
✓36.2%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
44.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
✓47.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓43.2%
#s(literal 1 binary64)
✓49.0%
#s(literal 1/2 binary64)
Compiler

Compiled 488 to 231 computations (52.7% saved)

regimes39.0ms (0.4%)

Counts
27 → 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 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.f64 (+.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)) alpha)
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) 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)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) alpha) #s(literal 4 binary64)) alpha) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))) alpha))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #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)
Outputs
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

5 calls:

9.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
8.0ms
beta
8.0ms
alpha
7.0ms
(/.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
95.2%2alpha
79.0%1beta
99.8%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.8%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.8%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes19.0ms (0.2%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -4 binary64) alpha)))) alpha)
(/.f64 (+.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)) alpha)
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))))
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:

7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (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 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 beta alpha)) beta)
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

6.0ms
alpha
Results
AccuracySegmentsBranch
94.1%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
alpha
4.0ms
beta
Results
AccuracySegmentsBranch
77.1%2beta
69.7%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
76.8%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 #s(literal -1/4 binary64) alpha))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
76.5%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
alpha
1.0ms
beta
Results
AccuracySegmentsBranch
49.0%1alpha
49.0%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999998892074646
-0.999988213652631
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999986800728
-0.9999998892074646
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
96087650922239800.0
396618935865565100.0
Results
10.0ms59×1valid
3.0ms37×0valid
Compiler

Compiled 140 to 104 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.8% of total)
ival-add: 2.0ms (25.2% of total)
ival-sub: 1.0ms (12.6% of total)
backward-pass: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.8016195959054881
127319499.74387355
Results
10.0ms100×0valid
7.0ms44×1valid
Compiler

Compiled 164 to 140 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 6.0ms (54.7% of total)
ival-div: 3.0ms (27.3% of total)
ival-sub: 1.0ms (9.1% of total)
backward-pass: 1.0ms (9.1% 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
1.8016195959054881
127319499.74387355
Results
8.0ms109×0valid
6.0ms35×1valid
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 (41.2% of total)
ival-div: 2.0ms (27.5% of total)
ival-sub: 1.0ms (13.7% of total)
backward-pass: 1.0ms (13.7% of total)
const: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
1.8016195959054881
127319499.74387355
Results
16.0ms113×0valid
5.0ms31×1valid
Compiler

Compiled 92 to 86 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 10.0ms (66.4% of total)
ival-div: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.6% of total)
backward-pass: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×+-commutative_binary64
10×*-commutative_binary64
10×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044123
164123
271123
375123
477123
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007109182748445/9007199254740992 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 alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 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 98000000000000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) (+.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 #s(literal 1/4 binary64) beta)) #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 -9007109182748445/9007199254740992 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 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 -9007109182748445/9007199254740992 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 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007198354021067/9007199254740992 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 -9007198354021067/9007199254740992 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 98000000000000000 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 98000000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) (+.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 #s(literal 1/4 binary64) beta)) #s(literal 1 binary64))
(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)

soundness796.0ms (8.9%)

Rules
4288×*-lowering-*.f32
4288×*-lowering-*.f64
3122×+-lowering-+.f64
3122×+-lowering-+.f32
2810×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05554243
118883763
266663761
080913761
04332427
115182169
256322118
081502118
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 240 to 134 computations (44.2% saved)

preprocess44.0ms (0.5%)

Compiler

Compiled 280 to 108 computations (61.4% saved)

end0.0ms (0%)

Profiling

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