Octave 3.8, jcobi/3

Time bar (total: 14.2s)

analyze4.0ms (0%)

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

Compiled 44 to 18 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (63.9% of total)
ival-div: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (13.8%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-add: 642.0ms (57.5% of total)
ival-div: 211.0ms (18.9% of total)
ival-mult: 128.0ms (11.5% of total)
ival->: 100.0ms (9% of total)
ival-and: 17.0ms (1.5% of total)
const: 16.0ms (1.4% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess1.0s (7.1%)

Algorithm
2×egg-herbie
Rules
7922×fma-define
7862×fma-lowering-fma.f32
7862×fma-lowering-fma.f64
2666×*-lowering-*.f32
2666×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045162
1160122
2563120
33240116
47332116
01424
13918
213318
367818
4496918
5564418
6580318
7592518
8598318
9598318
10638218
11654418
12669018
13669018
14669018
15679818
16683218
17683318
01056118
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
Outputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
Call 2
Inputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1))
(/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1))
(neg (/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1)))
(neg (/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1)))
(/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1) (+ (+ beta alpha) (* 2 1))) (+ (+ beta alpha) (* 2 1))) (+ (+ (+ beta alpha) (* 2 1)) 1))
Outputs
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (sum4 alpha beta (* alpha beta) 1) (* (sum3 alpha beta 3) (square (sum3 alpha beta 2))))
(/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1))
(/ (/ (sum3 beta (fnmsub alpha beta alpha) 1) (square (+ beta (- 2 alpha)))) (+ beta (- 3 alpha)))
(/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1))
(/ (sum3 alpha (fnmsub alpha beta beta) 1) (* (+ (- alpha beta) 3) (square (+ 2 (- alpha beta)))))
(neg (/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1)))
(/ (sum3 beta (fnmsub alpha beta alpha) 1) (* (+ (- alpha beta) -3) (square (+ beta (- 2 alpha)))))
(neg (/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1)))
(/ (sum3 alpha (fnmsub alpha beta beta) 1) (* (+ (- beta alpha) -3) (square (+ 2 (- alpha beta)))))
(/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1) (+ (+ beta alpha) (* 2 1))) (+ (+ beta alpha) (* 2 1))) (+ (+ (+ beta alpha) (* 2 1)) 1))
(/ (sum4 alpha beta (* alpha beta) 1) (* (sum3 alpha beta 3) (square (sum3 alpha beta 2))))
Symmetry

(sort alpha beta)

explain260.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
00-0-(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
00-0-#s(literal 2 binary64)
00-0-(*.f64 beta alpha)
00-0-alpha
00-0-(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
00-0-(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
00-0-(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
00-0-(+.f64 alpha beta)
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
00-0-beta
Results
198.0ms512×0valid
Compiler

Compiled 287 to 44 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-add: 78.0ms (71.3% of total)
ival-div: 23.0ms (21% of total)
ival-mult: 7.0ms (6.4% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 14 computations (48.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.6%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶87.0%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
Compiler

Compiled 64 to 28 computations (56.3% saved)

simplify404.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓cost-diff128
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff128
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 beta #s(literal 1 binary64))
✓cost-diff0
(+.f64 alpha #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
Rules
5120×+-lowering-+.f64
5120×+-lowering-+.f32
4158×*-lowering-*.f32
4158×*-lowering-*.f64
2752×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022159
177141
2330141
32252141
43924141
54304141
64502141
74593141
84635141
97749141
107790141
117804141
127804141
137825141
147837141
157837141
167837141
177961141
187961141
197961141
09190141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(* (+ alpha 1) (+ beta 1))
(+ alpha 1)
alpha
1
(+ beta 1)
beta
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(+ (+ alpha beta) 2)
(+ alpha beta)
2
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
(+ (+ alpha beta) 3)
3
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(+ (+ alpha beta) (* beta alpha))
(+ alpha beta)
alpha
beta
(* beta alpha)
1
(+ (+ alpha beta) (* 2 1))
(* 2 1)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)
Outputs
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(* (+ alpha 1) (+ beta 1))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))
(+ alpha 1)
(+.f64 alpha #s(literal 1 binary64))
alpha
1
#s(literal 1 binary64)
(+ beta 1)
(+.f64 #s(literal 1 binary64) beta)
beta
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
(+ (+ alpha beta) 2)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
2
#s(literal 2 binary64)
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
(+ (+ alpha beta) 3)
(+.f64 (+.f64 alpha beta) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))
(+ (+ alpha beta) (* beta alpha))
(+.f64 alpha (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(+ alpha beta)
(+.f64 alpha beta)
alpha
beta
(* beta alpha)
(*.f64 alpha beta)
1
#s(literal 1 binary64)
(+ (+ alpha beta) (* 2 1))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(* 2 1)
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 (+.f64 alpha beta) #s(literal 3 binary64))

localize166.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓accuracy99.9%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓accuracy95.9%
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓accuracy100.0%
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
✓accuracy87.1%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
Results
130.0ms256×0valid
Compiler

Compiled 209 to 24 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 40.0ms (72% of total)
ival-mult: 8.0ms (14.4% of total)
ival-div: 6.0ms (10.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series64.0ms (0.4%)

Counts
12 → 240
Calls
Call 1
Inputs
#<alt (/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))>
#<alt (* (+ alpha 1) (+ beta 1))>
#<alt (+ alpha 1)>
#<alt (+ beta 1)>
#<alt (+ (+ (+ alpha beta) (* beta alpha)) 1)>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))>
#<alt (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))>
#<alt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))>
#<alt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))>
Outputs
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))>
#<alt (/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))>
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#<alt (pow alpha 3)>
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#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))>
#<alt (pow alpha 3)>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))>
#<alt (* (pow (+ 2 alpha) 2) (+ 3 alpha))>
#<alt (+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (pow beta 3)>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))>
#<alt (* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))>
#<alt (pow beta 3)>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (+ 2 alpha) (+ 3 alpha))>
#<alt (+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 3)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ 1 beta)>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))>
#<alt (- (+ 1 (+ beta (+ (/ 1 alpha) (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 3)))))) (+ (/ (* (+ 1 beta) (+ 2 beta)) alpha) (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))))>
#<alt (* -1 (- (* -1 beta) 1))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1)))))) alpha))) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))>
#<alt (/ (+ 1 alpha) (+ 2 alpha))>
#<alt (+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 3)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))>
#<alt (+ 1 alpha)>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))>
#<alt (- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))>
#<alt (* -1 (- (* -1 alpha) 1))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))>
#<alt (/ (+ 1 beta) (pow (+ 2 beta) 2))>
#<alt (+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))>
#<alt (/ (+ 1 alpha) (pow (+ 2 alpha) 2))>
#<alt (+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)>
#<alt (* -1 (/ (- (* -1 alpha) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
#<alt (* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
beta
@0
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
4.0ms
beta
@0
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
2.0ms
beta
@-inf
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms
alpha
@0
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
2.0ms
beta
@-inf
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))

rewrite400.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
4242×*-lowering-*.f32
4242×*-lowering-*.f64
2206×+-lowering-+.f64
2206×+-lowering-+.f32
1858×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022123
1103105
2655105
35558105
08256105
Stop Event
1×iter limit
1×node limit
Counts
12 → 998
Calls
Call 1
Inputs
(/ (* (+ alpha 1) (+ beta 1)) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(* (+ alpha 1) (+ beta 1))
(+ alpha 1)
(+ beta 1)
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
Outputs
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (+.f64 alpha (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta))))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (*.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta))))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 alpha (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(+.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) alpha) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))) (+.f64 alpha (*.f64 (+.f64 alpha #s(literal 1 binary64)) beta))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 alpha beta)))))
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(pow.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta)) (+.f64 alpha #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))) (/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 alpha beta))))
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simplify358.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
5040×+-lowering-+.f64
5040×+-lowering-+.f32
3364×*-lowering-*.f32
3364×*-lowering-*.f64
1340×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09859408
137678380
083448380
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(/ (+ 1 beta) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) alpha)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)) (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(+ 1 beta)
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(+ 1 (+ beta (* alpha (+ 1 beta))))
(* alpha (+ 1 beta))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
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(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
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(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(* -1 (/ (- (* -1 alpha) 1) (pow beta 2)))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(/ (+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1)))) beta)) (+ (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta) (/ (* (pow (+ 2 alpha) 2) (* (+ 3 alpha) (- (* -1 alpha) 1))) beta))) (+ (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))))) (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 alpha) 1)))) beta))) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 alpha) 1))) beta))) (pow beta 2))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(+ (* alpha (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ beta (* 2 beta)))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* (pow (+ 2 alpha) 2) (+ 3 alpha))
(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
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(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
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(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(/ (+ 1 beta) (+ 2 beta))
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(+ 1 beta)
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(* -1 (- (* -1 beta) 1))
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(/ (+ 1 alpha) (+ 2 alpha))
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(+ 1 alpha)
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(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 1 (+ alpha (+ (/ 1 beta) (+ (/ alpha beta) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 3)))))) (+ (/ (* (+ 1 alpha) (+ 2 alpha)) beta) (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))))
(* -1 (- (* -1 alpha) 1))
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(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta)) (* -1 (* (+ 2 alpha) (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1)))))) beta))) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(/ (+ 1 beta) (pow (+ 2 beta) 2))
(+ (* alpha (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2))))) (pow (+ 2 beta) 2))) (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4)))))) (+ (/ 1 (pow (+ 2 beta) 4)) (+ (/ beta (pow (+ 2 beta) 4)) (/ (* (+ 4 (* 2 beta)) (- (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))
(/ (+ 1 beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
(* -1 (/ (- (* -1 beta) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
(/ (+ 1 alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
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(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
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(* -1 (/ (- (* -1 beta) 1) (pow alpha 2)))
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(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
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(* (pow (+ 2 beta) 2) (+ 3 beta))
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(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(pow alpha 3)
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
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(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
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(pow alpha 3)
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(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
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(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
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(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
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(* (pow (+ 2 alpha) 2) (+ 3 alpha))
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(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
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(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
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(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
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(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
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(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
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(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
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(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
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(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
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(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal 2 binary64)) alpha)) (/.f64 #s(literal 5 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (/.f64 #s(literal 5 binary64) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 alpha alpha))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta #s(literal 2 binary64)) alpha) (+.f64 (/.f64 #s(literal 5 binary64) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 alpha alpha))))))
(pow alpha 2)
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -3 binary64) beta)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -3 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha))) alpha)))
(* (+ 2 alpha) (+ 3 alpha))
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
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(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
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(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)) (/.f64 #s(literal 5 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -3 binary64) alpha)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal -3 binary64) alpha) (*.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta)))) beta)))
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(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) alpha)) alpha)
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha)) alpha)
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(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 1 beta) (pow (+ 2 beta) 2)) (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))))) (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta)))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 4 (* 2 beta))) alpha) (+ (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)) (/ (* (+ 4 (* 2 beta)) (- (+ 1 beta) (* (+ 1 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) alpha)
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(* -1 (/ (- (* -1 beta) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (+ (* -2 (/ (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (+.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) alpha)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ 1 (+ beta (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1))))) alpha)) (+ (* -2 (* (+ 2 beta) (- (+ 1 beta) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))))) (* (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) alpha)))) (* -2 (* (+ 2 beta) (- (* -1 beta) 1)))) alpha))) 1) alpha))
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(/ (+ 1 alpha) (pow (+ 2 alpha) 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(+ (* beta (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
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(+ (* beta (- (+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
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(+ (* beta (- (+ (* beta (- (* beta (- (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2))))) (pow (+ 2 alpha) 2))) (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4)))))) (+ (/ 1 (pow (+ 2 alpha) 4)) (+ (/ alpha (pow (+ 2 alpha) 4)) (/ (* (+ 4 (* 2 alpha)) (- (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))
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(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta))) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta)) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha))))) (*.f64 beta beta)))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta)))) beta)
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))))) (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha)))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 4 (* 2 alpha))) beta) (+ (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)) (/ (* (+ 4 (* 2 alpha)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 4 (* 2 alpha))))) (pow beta 2))))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha))))))) (*.f64 beta (*.f64 beta beta))))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)))) (*.f64 beta beta))))) beta)
(* -1 (/ (- (* -1 alpha) 1) beta))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) alpha)) beta)
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha))) beta)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (+ (* -2 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)))) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta)) alpha) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 (+ alpha (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1))))) beta)) (+ (* -2 (* (+ 2 alpha) (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))))) (* (pow (+ 2 alpha) 2) (- (* -1 alpha) 1)))) beta)))) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha))))))) beta) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)))) beta) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha)) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal -1 binary64) alpha))))))) beta)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))) beta)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))

eval166.0ms (1.2%)

Compiler

Compiled 49691 to 3038 computations (93.9% saved)

prune129.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1225151240
Fresh000
Picked202
Done000
Total1227151242
Accuracy
100.0%
Counts
1242 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.1%
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64))))
▶98.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
94.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
▶64.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
48.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
58.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
87.6%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
4.5%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
▶73.0%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
▶45.9%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
▶55.8%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
45.3%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)))))))
87.0%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
45.1%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
90.7%
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta))
Compiler

Compiled 686 to 384 computations (44% saved)

simplify241.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓cost-diff128
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff0
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
✓cost-diff0
(*.f64 beta beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓cost-diff0
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
Rules
3978×+-lowering-+.f64
3978×+-lowering-+.f32
3420×*-lowering-*.f32
3420×*-lowering-*.f64
2112×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033227
1101215
2416215
33175215
44008215
54438215
65043215
75483215
85971215
08408215
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1))))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(+ 1 beta)
1
beta
(+ alpha (+ beta 2))
alpha
(+ beta 2)
2
(* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1)))
(+ alpha (+ beta 3))
(+ beta 3)
3
(/ (+ alpha (+ beta 2)) (+ alpha 1))
(+ alpha 1)
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
1
alpha
(* beta beta)
beta
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(+ 1 alpha)
1
alpha
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(* (+ 2 alpha) (+ 2 alpha))
(+ 2 alpha)
2
(+ 3 alpha)
3
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(+ 1 alpha)
1
alpha
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(+ (+ alpha beta) 2)
(+ alpha beta)
beta
2
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
(+ (+ alpha beta) 3)
3
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
(+ 1 alpha)
1
alpha
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
beta
(* 2 1)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)
Outputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) alpha))))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(+ alpha (+ beta 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) alpha))
(+ alpha (+ beta 3))
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (+ alpha (+ beta 2)) (+ alpha 1))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) alpha))
(+ alpha 1)
(+.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 alpha) (* beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(* beta beta)
(*.f64 beta beta)
beta
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 6 binary64) (*.f64 alpha (+.f64 #s(literal 5 binary64) alpha)))) (+.f64 alpha #s(literal 2 binary64)))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 alpha (+.f64 #s(literal 5 binary64) alpha))))
(* (+ 2 alpha) (+ 2 alpha))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+ (+ alpha beta) 2)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
beta
2
#s(literal 2 binary64)
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ (+ alpha beta) 3)
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(+ (+ alpha beta) (* 2 1))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
beta
(* 2 1)
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))

localize208.0ms (1.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
✓accuracy99.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓accuracy100.0%
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓accuracy99.2%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(*.f64 beta beta)
✓accuracy97.3%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓accuracy100.0%
(/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64))))
✓accuracy98.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
Results
143.0ms256×0valid
Compiler

Compiled 281 to 35 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 19.0ms (43.3% of total)
ival-div: 13.0ms (29.6% of total)
ival-mult: 11.0ms (25.1% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series62.0ms (0.4%)

Counts
20 → 384
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1))))>
#<alt (/ (+ 1 beta) (+ alpha (+ beta 2)))>
#<alt (+ 1 beta)>
#<alt (+ alpha (+ beta 2))>
#<alt (/ (+ 1 alpha) (* beta beta))>
#<alt (+ 1 alpha)>
#<alt (* beta beta)>
#<alt (/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))>
#<alt (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))>
#<alt (* (+ 2 alpha) (+ 2 alpha))>
#<alt (/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))>
#<alt (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))>
#<alt (+ (+ alpha beta) 2)>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))>
#<alt (* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1)))>
#<alt (/ (+ alpha (+ beta 2)) (+ alpha 1))>
#<alt (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))>
Outputs
#<alt (/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))>
#<alt (+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))>
#<alt (/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))>
#<alt (/ (+ 1 beta) (pow alpha 2))>
#<alt (/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))>
#<alt (/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))>
#<alt (/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) alpha)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)) (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (+ (* -1 (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))))) (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))))))) alpha))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))>
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (/ 1 (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (- (+ 1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha)) beta) (+ 1 (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)) beta) (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha))) beta)) (+ 1 (* -1 (+ 2 alpha)))) beta)))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)>
#<alt (/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) alpha) (* (+ 1 beta) (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 2 beta) 2))) alpha)) (* (+ 1 beta) (+ 2 beta))) alpha))) 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 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)))>
#<alt (/ 1 (pow beta 2))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ alpha (pow beta 2))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt 1>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt (+ 1 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt alpha>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (* alpha (+ 1 (/ 1 alpha)))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))>
#<alt (+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))>
#<alt 12>
#<alt (+ 12 (* 16 alpha))>
#<alt (+ 12 (* alpha (+ 16 (* 7 alpha))))>
#<alt (+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))>
#<alt (* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))>
#<alt (pow alpha 3)>
#<alt (* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))>
#<alt (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))>
#<alt 4>
#<alt (+ 4 (* 4 alpha))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (+ 4 (* alpha (+ 4 alpha)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))>
#<alt (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta)))>
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#<alt (/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) beta) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) beta) (* (+ 1 alpha) (pow (+ 2 alpha) 2))) beta)) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (- (+ 5 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (* (+ 2 beta) (+ 3 beta)) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (+ (* alpha (- (+ 4 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta))) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))>
#<alt (* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))) (+ (* 2 (/ beta (pow alpha 2))) (/ 4 (pow alpha 2)))))>
#<alt (* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ beta (pow alpha 3))) (+ (* 4 (/ 1 alpha)) (+ (* 4 (/ 1 (pow alpha 3))) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))) (+ (* 2 (/ beta (pow alpha 2))) (+ (/ 4 (pow alpha 2)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 3))))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))>
#<alt (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha))>
#<alt (+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (* 5 (/ 1 (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))>
#<alt (+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))>
#<alt (+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))>
#<alt (/ (pow beta 2) (+ 1 alpha))>
#<alt (* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 5 (* beta (+ 1 alpha))))))>
#<alt (* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))>
#<alt (* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))>
#<alt (/ (pow beta 2) (+ 1 alpha))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ beta (* -1 (* alpha (+ 1 beta)))))>
#<alt (+ 2 (+ beta (* alpha (- (* alpha (+ 1 beta)) (+ 1 beta)))))>
#<alt (+ 2 (+ beta (* alpha (- (* alpha (- (* -1 (* alpha (+ 1 beta))) (* -1 (+ 1 beta)))) (+ 1 beta)))))>
#<alt 1>
#<alt (+ 1 (+ (/ 1 alpha) (/ beta alpha)))>
#<alt (+ 1 (+ (* -1 (/ (+ 1 beta) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (- (+ 1 (+ (/ 1 alpha) (+ (/ 1 (pow alpha 3)) (+ (/ beta alpha) (/ beta (pow alpha 3)))))) (+ (/ 1 (pow alpha 2)) (/ beta (pow alpha 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)) (* -1 (+ 1 (* -1 (+ 2 beta))))) alpha)))) alpha)))>
#<alt (/ (+ 2 alpha) (+ 1 alpha))>
#<alt (+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))>
#<alt (+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))>
#<alt (+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))>
#<alt (/ beta (+ 1 alpha))>
#<alt (* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (/ beta (+ 1 alpha))>
#<alt (* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))>
#<alt (pow alpha 2)>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))>
#<alt (* (+ 2 alpha) (+ 3 alpha))>
#<alt (+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
beta
@-inf
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
2.0ms
beta
@0
(+ alpha (+ beta 2))
2.0ms
alpha
@0
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
1.0ms
alpha
@0
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
1.0ms
beta
@0
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))

rewrite367.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4284×*-lowering-*.f32
4284×*-lowering-*.f64
3564×+-lowering-+.f64
3564×+-lowering-+.f32
2478×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033164
1164152
2931152
08526152
Stop Event
1×iter limit
1×node limit
Counts
20 → 1176
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1))))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(+ 1 beta)
(+ alpha (+ beta 2))
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
(* beta beta)
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(* (+ 2 alpha) (+ 2 alpha))
(/ (+ 1 alpha) (* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))))
(* (+ (+ alpha beta) 2) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3)))
(+ (+ alpha beta) 2)
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ (/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) (+ (+ alpha beta) (* 2 1)))
(* (+ alpha (+ beta 3)) (/ (+ alpha (+ beta 2)) (+ alpha 1)))
(/ (+ alpha (+ beta 2)) (+ alpha 1))
(* (+ (+ alpha beta) 2) (+ (+ alpha beta) 3))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) alpha) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 alpha (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (*.f64 alpha (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -1 binary64) alpha))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -1 binary64) alpha))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -1 binary64) alpha))))
(neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))))
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(neg.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) alpha)))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) alpha))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)))))
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(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) alpha)) (*.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 3 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 beta alpha))) #s(literal 6 binary64))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 alpha #s(literal 3 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta alpha) #s(literal 3 binary64))) #s(literal 6 binary64))
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(+.f64 (+.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))
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(+.f64 (+.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) alpha))
(+.f64 (+.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (+.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (+.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
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(fma.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
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(/.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -3 binary64) (+.f64 beta alpha)) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))

simplify438.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4354×*-lowering-*.f32
4354×*-lowering-*.f64
3902×+-lowering-+.f64
3902×+-lowering-+.f32
1872×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0143410538
153609508
080389508
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha))))))))) (+ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))))) (pow beta 3))) (+ (/ 1 beta) (/ alpha beta))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (+ (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2)) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ 1 alpha) (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))))) (pow beta 2))))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* -1 (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta)) (+ (* -1 (/ (* (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))))) beta)) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (+ (* -1 (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) (* -1 (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (- (* -1 (+ 1 alpha)) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))))))) beta))) (* -1 (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))))) beta)))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (+ (/ 1 (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (+ (/ beta (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))) (/ (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta))))) (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 4) (pow (+ 3 beta) 2))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
(/ (- (+ 1 (+ beta (+ (* -1 (/ (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta))))))))) (+ (* (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta))) (* (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))))) (pow alpha 3))) (+ (/ 1 alpha) (/ beta alpha))))) (+ (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha) (+ (/ (* (+ 1 beta) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)) (/ (* (+ 7 (+ beta (* 2 beta))) (- (+ 1 beta) (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))))) (pow alpha 2))))) (pow alpha 2))
(/ (+ 1 beta) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
(/ (+ 1 (+ beta (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 1 beta) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta)))))))) alpha)))) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
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1
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1
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1
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beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
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beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
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(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ alpha (pow beta 2))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ (+ 1 alpha) (pow beta 2))
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(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
1
(+ 1 alpha)
(+ 1 alpha)
(+ 1 alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(* alpha (+ 1 (/ 1 alpha)))
(pow beta 2)
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1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))
(/ 1 (pow alpha 2))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
12
(+ 12 (* 16 alpha))
(+ 12 (* alpha (+ 16 (* 7 alpha))))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))
4
(+ 4 (* 4 alpha))
(+ 4 (* alpha (+ 4 alpha)))
(+ 4 (* alpha (+ 4 alpha)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(/ 1 (pow alpha 2))
(/ (+ 1 (* -1 (/ (+ 6 (+ beta (* 2 beta))) alpha))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ 7 (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (+ (* 6 (/ 1 alpha)) (/ beta alpha)))) (pow alpha 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (+ (* -1 (* (+ 7 (+ beta (* 2 beta))) (+ (* -1 (* (+ 6 (+ beta (* 2 beta))) (+ 7 (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (+ 3 beta)))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 6 (+ beta (* 2 beta))) (+ 7 (+ beta (* 2 beta)))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 6 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))) (pow alpha 2))
(/ 1 (pow alpha 2))
(/ (+ 1 (+ (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) (/ 1 alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta)))))) (+ 3 (+ beta (* 2 (+ 2 beta))))) alpha)) (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha))) (pow alpha 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (+ (/ (* (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta)))))) (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) alpha) (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) (* (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta)))))) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha))) (+ (* -1 (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2)))) (* (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta)))))) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)) (+ 1 (* -1 (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha))) (pow alpha 2))
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* -1 (/ (* beta (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) 2)) (* (pow (+ 2 alpha) 6) (pow (+ 3 alpha) 3)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2)))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 6) (pow (+ 3 alpha) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) 2)) (* (pow (+ 2 alpha) 6) (pow (+ 3 alpha) 3)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2)))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) 2)) (* (pow (+ 2 alpha) 6) (pow (+ 3 alpha) 3)))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2)))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 3))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)))) (pow beta 3))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2))) (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 3))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* -1 (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2))) (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3))
(/ (+ 1 alpha) (pow beta 3))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3)))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))) beta))) (pow beta 3)))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 1 alpha) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) beta) (+ (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))) beta))) (pow beta 3)))
(* (pow (+ 2 beta) 2) (+ 3 beta))
(+ (* alpha (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ beta (* 2 beta)))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(pow alpha 3)
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
(pow alpha 3)
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(* (pow (+ 2 alpha) 2) (+ 3 alpha))
(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(pow beta 3)
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(pow beta 3)
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 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)))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(/ 1 (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3)))) (* 5 (/ 1 (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta))))) (* (+ 2 beta) (+ 3 beta)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta))))) (* -1 (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2)))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)) (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) alpha)) (/ (* (+ 2 beta) (* (+ 3 beta) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) alpha)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* -1 (/ (* beta (* (+ 1 alpha) (+ 5 (* 2 alpha)))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (* -1 (/ (* (+ 5 (* 2 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))))) (* (+ 2 alpha) (+ 3 alpha))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (/ (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2)) beta)) (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))))) beta)) (* -1 (/ (* (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (+ (* -1 (* (+ 1 alpha) (pow (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))) beta)) (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))))) beta)))) (pow beta 2))
(/ 1 (+ 2 beta))
(+ (* alpha (- (/ 1 (+ 2 beta)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ 1 (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 4)))) (/ 1 (pow (+ 2 beta) 3))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))
1
(+ 1 (* -1 (/ (+ 1 beta) alpha)))
(- (+ 1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha)))
(- (+ 1 (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))
1
(+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ 1 alpha)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta)) alpha) (+ 1 (* -1 (+ 2 beta)))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta))) alpha)) (+ 1 (* -1 (+ 2 beta)))) alpha)))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(/ (+ 1 alpha) beta)
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) beta)))) beta)
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta)
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))) beta)
(/ (+ 1 alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) beta) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) beta) (* (+ 1 alpha) (pow (+ 2 alpha) 2))) beta)) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (- (+ 5 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (* (+ 2 beta) (+ 3 beta)) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (+ (* alpha (- (+ 4 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta))) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
alpha
(* alpha (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))) (+ (* 2 (/ beta (pow alpha 2))) (/ 4 (pow alpha 2)))))
(* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ beta (pow alpha 3))) (+ (* 4 (/ 1 alpha)) (+ (* 4 (/ 1 (pow alpha 3))) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))) (+ (* 2 (/ beta (pow alpha 2))) (+ (/ 4 (pow alpha 2)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 3))))))
alpha
(* -1 (* alpha (- (* -1 (/ (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))
(/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (* 5 (/ 1 (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(/ (pow beta 2) (+ 1 alpha))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 5 (* beta (+ 1 alpha))))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))
(/ (pow beta 2) (+ 1 alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))
(+ 2 beta)
(+ 2 (+ beta (* -1 (* alpha (+ 1 beta)))))
(+ 2 (+ beta (* alpha (- (* alpha (+ 1 beta)) (+ 1 beta)))))
(+ 2 (+ beta (* alpha (- (* alpha (- (* -1 (* alpha (+ 1 beta))) (* -1 (+ 1 beta)))) (+ 1 beta)))))
1
(+ 1 (+ (/ 1 alpha) (/ beta alpha)))
(+ 1 (+ (* -1 (/ (+ 1 beta) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))
(- (+ 1 (+ (/ 1 alpha) (+ (/ 1 (pow alpha 3)) (+ (/ beta alpha) (/ beta (pow alpha 3)))))) (+ (/ 1 (pow alpha 2)) (/ beta (pow alpha 2))))
1
(+ 1 (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))) alpha)))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)) (* -1 (+ 1 (* -1 (+ 2 beta))))) alpha)))) alpha)))
(/ (+ 2 alpha) (+ 1 alpha))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(/ beta (+ 1 alpha))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(/ beta (+ 1 alpha))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(pow alpha 2)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(* (+ 2 alpha) (+ 3 alpha))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
Outputs
(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha #s(literal 3 binary64)))
(+ (* beta (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))))) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (-.f64 (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))) (*.f64 (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64)))))))))
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))))) (*.f64 beta (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))))) (*.f64 beta (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 7 binary64) (*.f64 #s(literal 3 binary64) alpha))) (*.f64 (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (-.f64 (/.f64 alpha (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))) (*.f64 (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64)))))))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))) (*.f64 (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))))))))
(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (+ (/ 1 (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (+ (/ alpha (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ 7 (+ alpha (* 2 alpha))) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))) (/ (* (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) (- (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 4) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (+ 3 alpha))) (/ alpha (* (pow (+ 2 alpha) 2) (+ 3 alpha)))))
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(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/ (- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 7 (+ beta (* 2 beta)))) alpha)) (pow alpha 2))
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(/ (+ 1 beta) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/ (+ 1 (+ beta (* -1 (/ (- (* -1 (+ 1 beta)) (* -1 (* (+ 1 beta) (+ 3 (+ beta (* 2 (+ 2 beta))))))) alpha)))) (pow alpha 2))
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(/ 1 (+ 2 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
(+ (* beta (- (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
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(/ (+ 1 alpha) (pow beta 3))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)))) (pow beta 3))
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(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2))) (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta)) (pow beta 3))
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(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 7 (+ alpha (* 2 alpha))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))))) (+ (* -1 (* (+ 7 (+ alpha (* 2 alpha))) (+ (* -1 (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2))) (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))))) (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 7 (+ alpha (* 2 alpha))) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (+ 7 (+ alpha (* 2 alpha)))) beta) (/ (* (+ 1 alpha) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (pow beta 2))))) (pow beta 3))
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(/ (+ 1 alpha) (pow beta 3))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha))))) beta)) (pow beta 3)))
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(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (+ (/ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) beta) (/ (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)) beta)) (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))) beta))) (pow beta 3)))
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(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ 1 alpha) (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))))) beta) (+ (/ (* (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha))) beta) (/ (* (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta))) (+ (* (+ 1 alpha) (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2)))) (* (+ 1 alpha) (pow (+ 3 (+ alpha (* 2 (+ 2 alpha)))) 2)))) beta)) (* (+ 1 alpha) (+ 3 (+ alpha (* 2 (+ 2 alpha)))))) beta))) (pow beta 3)))
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(* (pow (+ 2 beta) 2) (+ 3 beta))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(+ (* alpha (+ (* alpha (+ 7 (+ beta (* 2 beta)))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 #s(literal 7 binary64) (*.f64 #s(literal 3 binary64) beta))))))
(+ (* alpha (+ (* alpha (+ 7 (+ alpha (+ beta (* 2 beta))))) (+ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 #s(literal 7 binary64) (+.f64 alpha (*.f64 #s(literal 3 binary64) beta)))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (/ beta alpha)))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 7 binary64) alpha))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 beta alpha)) (/.f64 #s(literal 7 binary64) alpha)) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))))
(* (pow alpha 3) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 7 (/ 1 alpha)) (+ (/ beta alpha) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (pow alpha 3)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 beta alpha)) (/.f64 #s(literal 7 binary64) alpha)) (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha)))))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (* 2 (+ 2 beta)))) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta))) #s(literal -1 binary64))) alpha) #s(literal -1 binary64)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)) #s(literal -1 binary64)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 3 (+ beta (+ (* -1 (/ (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) alpha)) (* -1 (pow (+ 2 beta) 2)))) alpha)) (* 2 (+ 2 beta))))) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 alpha (*.f64 alpha alpha))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 #s(literal 3 binary64) beta) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)) #s(literal -1 binary64)))
(* (pow (+ 2 alpha) 2) (+ 3 alpha))
(*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64)))
(+ (* beta (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))))
(+ (* beta (+ (* beta (+ 7 (+ alpha (* 2 alpha)))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 #s(literal 7 binary64) (*.f64 #s(literal 3 binary64) alpha))))))
(+ (* beta (+ (* beta (+ 7 (+ alpha (+ beta (* 2 alpha))))) (+ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 #s(literal 7 binary64) (+.f64 (+.f64 alpha beta) (*.f64 alpha #s(literal 2 binary64))))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 7 binary64) beta))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta) (/.f64 #s(literal 7 binary64) beta)) (+.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))))
(* (pow beta 3) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 7 (/ 1 beta)) (+ (/ alpha beta) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (pow beta 3)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))))))
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta) (/.f64 #s(literal 7 binary64) beta)) (+.f64 (+.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))) (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (*.f64 beta beta))))))))
(pow beta 3)
(*.f64 beta (*.f64 beta beta))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (+.f64 alpha (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))))) beta)) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta))) beta)) #s(literal -1 binary64)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ 3 (+ alpha (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (+ (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) beta)) (* -1 (pow (+ 2 alpha) 2)))) beta)) (* 2 (+ 2 alpha))))) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (+.f64 (-.f64 alpha (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta)) (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))) beta) #s(literal -1 binary64)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal -1 binary64)))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
(+ 2 (+ alpha beta))
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta)) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(+ 3 beta)
(+.f64 #s(literal 3 binary64) beta)
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha)) #s(literal -1 binary64)))
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
(+ 3 (+ alpha beta))
(+.f64 (+.f64 alpha #s(literal 3 binary64)) beta)
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 3 binary64) beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 3 binary64) beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 3 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -1 binary64) alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -1 binary64) alpha)) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (*.f64 #s(literal -1 binary64) alpha)) beta) #s(literal -1 binary64)))
(/ 1 (* (+ 2 beta) (+ 3 beta)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (/.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (/.f64 #s(literal 5 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
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(+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3)))) (* 5 (/ 1 (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta))))) (* (+ 2 beta) (+ 3 beta)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
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(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) alpha)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64)))) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta))))) (* -1 (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2)))))) alpha)
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(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* -1 (/ (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)))) alpha)) #s(literal -1 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)) (/ (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
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(* -1 (/ (- (* -1 (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) alpha)) (/ (* (+ 2 beta) (* (+ 3 beta) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))))) alpha)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) (- 1 (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))))))) alpha))) (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))))) alpha)) 1) alpha))
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(/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))))
(+ (* -1 (/ (* beta (* (+ 1 alpha) (+ 5 (* 2 alpha)))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
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(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (* -1 (/ (* (+ 5 (* 2 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))))) (* (+ 2 alpha) (+ 3 alpha))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
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(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 5 binary64)) beta))) (*.f64 beta beta))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
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(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
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(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 (+ alpha (/ (* (+ 1 alpha) (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha)))) beta))) (pow beta 2))
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(/ 1 (+ 2 beta))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 beta) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(- (+ 1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha)))
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(- (+ 1 (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 3)))) (+ (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))
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1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ 1 alpha)))
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(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta)) alpha) (+ 1 (* -1 (+ 2 beta)))) alpha)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 beta))) (pow (+ 2 beta) 2)) alpha) (* (+ 1 (* -1 (+ 2 beta))) (+ 2 beta))) alpha)) (+ 1 (* -1 (+ 2 beta)))) alpha)))
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(/ (+ 1 alpha) (+ 2 alpha))
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(+ (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
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(+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 2 alpha)) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (/ 1 (pow (+ 2 alpha) 4)) (/ alpha (pow (+ 2 alpha) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))) (+ 2 alpha))))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
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(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) beta)))) beta)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) beta)
(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta)
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(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))) beta)
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(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(* -1 (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 2 alpha)) beta)) beta))
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(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) beta) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
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(* -1 (/ (+ (* -1 (+ 1 alpha)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 alpha) (pow (+ 2 alpha) 3)) beta) (* (+ 1 alpha) (pow (+ 2 alpha) 2))) beta)) (* (+ 1 alpha) (+ 2 alpha))) beta))) beta))
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(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (- (+ 5 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
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(+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (* (+ 2 beta) (+ 3 beta)) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
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(+ (* alpha (- (+ 5 (+ (* 2 beta) (* alpha (- (+ (* alpha (- (+ 4 (* 2 beta)) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta))) (+ 4 (* 2 beta)))))) (* (+ 2 beta) (+ 3 beta)))) (* (+ 2 beta) (+ 3 beta)))
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alpha
(* alpha (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (/.f64 #s(literal 4 binary64) alpha)))
(* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))) (+ (* 2 (/ beta (pow alpha 2))) (/ 4 (pow alpha 2)))))
(*.f64 alpha (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha alpha)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)))))
(* alpha (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 2 (/ beta (pow alpha 3))) (+ (* 4 (/ 1 alpha)) (+ (* 4 (/ 1 (pow alpha 3))) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))) (+ (* 2 (/ beta (pow alpha 2))) (+ (/ 4 (pow alpha 2)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 3))))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 beta alpha)) (/.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha alpha)))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))))))))
alpha
(* -1 (* alpha (- (* -1 (/ (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) #s(literal -1 binary64)) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) #s(literal -1 binary64)))) alpha)) #s(literal -1 binary64)) alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (- (+ (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) (* -1 (/ (- (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (/ (- (* -1 (* (+ 2 beta) (+ 3 beta))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) (* -1 (- (* -1 (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta)))) 1))) alpha))) 1) alpha)) 1)))
(*.f64 (*.f64 #s(literal -1 binary64) alpha) (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (+.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) #s(literal -1 binary64)))) alpha)) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))) #s(literal -1 binary64)))) alpha)) #s(literal -1 binary64))) alpha) #s(literal -1 binary64)))
(/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha))
(/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) alpha))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (* 5 (/ 1 (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 5 binary64) (+.f64 #s(literal 1 binary64) alpha)))))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (/.f64 #s(literal 5 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))))
(+ (* beta (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 5 (/ 1 (+ 1 alpha))) (/ beta (+ 1 alpha))))) (/ (* (+ 2 alpha) (+ 3 alpha)) (+ 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) alpha)) (*.f64 beta (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 (/.f64 #s(literal 5 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))))
(/ (pow beta 2) (+ 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) alpha))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 5 (* beta (+ 1 alpha))))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 #s(literal 5 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 5 (* beta (+ 1 alpha))) (/ (* (+ 2 alpha) (+ 3 alpha)) (* (pow beta 2) (+ 1 alpha)))))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 (/.f64 #s(literal 5 binary64) beta) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))))
(/ (pow beta 2) (+ 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) alpha))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) (* beta (+ 1 alpha)))) (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (* -1 (/ (+ 3 alpha) (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha))))
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) beta)))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ beta (* -1 (* alpha (+ 1 beta)))))
(+.f64 #s(literal 2 binary64) (-.f64 beta (*.f64 alpha (+.f64 #s(literal 1 binary64) beta))))
(+ 2 (+ beta (* alpha (- (* alpha (+ 1 beta)) (+ 1 beta)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (-.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal 1 binary64) beta))))
(+ 2 (+ beta (* alpha (- (* alpha (- (* -1 (* alpha (+ 1 beta))) (* -1 (+ 1 beta)))) (+ 1 beta)))))
(+.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha (-.f64 (*.f64 alpha (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (+.f64 #s(literal 1 binary64) beta)))) (+.f64 #s(literal 1 binary64) beta))))
1
#s(literal 1 binary64)
(+ 1 (+ (/ 1 alpha) (/ beta alpha)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))
(+ 1 (+ (* -1 (/ (+ 1 beta) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha)))
(- (+ 1 (+ (/ 1 alpha) (+ (/ 1 (pow alpha 3)) (+ (/ beta alpha) (/ beta (pow alpha 3)))))) (+ (/ 1 (pow alpha 2)) (/ beta (pow alpha 2))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 beta alpha)) (/.f64 beta (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 beta (*.f64 alpha alpha))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) alpha))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) alpha)) alpha))
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (+ 2 beta)) (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (+ 2 beta))) alpha)) (* -1 (+ 1 (* -1 (+ 2 beta))))) alpha)))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha))
(/ (+ 2 alpha) (+ 1 alpha))
(/.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) alpha))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(+ (* 2 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ beta (+ 1 alpha))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/ beta (+ 1 alpha))
(/.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(*.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) alpha))))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(*.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) alpha))))
(* beta (+ (/ 1 (+ 1 alpha)) (+ (/ 2 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha))))))
(*.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (/.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) alpha))))
(/ beta (+ 1 alpha))
(/.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(* -1 (* beta (- (* -1 (/ (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (*.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) alpha))) beta)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (+ 5 (* 2 beta))) (* (+ 2 beta) (+ 3 beta)))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (+.f64 (*.f64 #s(literal 2 binary64) beta) #s(literal 5 binary64))))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 5 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) beta)))))
(+ (* alpha (+ 5 (+ alpha (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))
(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha (+.f64 #s(literal 5 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) beta)))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 5 (/ 1 alpha)))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (/.f64 #s(literal 5 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha alpha)) (/.f64 #s(literal 5 binary64) alpha))))
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 5 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))))))
(*.f64 (*.f64 alpha alpha) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 alpha alpha)) (/.f64 #s(literal 5 binary64) alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (* -1 (+ 3 beta))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))) alpha)))
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 beta)) (+ (* -1 (+ 3 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))) alpha))))
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha))) alpha)))
(* (+ 2 alpha) (+ 3 alpha))
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64)))
(+ (* beta (+ 5 (* 2 alpha))) (* (+ 2 alpha) (+ 3 alpha)))
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal 5 binary64))))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (+.f64 #s(literal 5 binary64) beta) (*.f64 alpha #s(literal 2 binary64)))))
(+ (* beta (+ 5 (+ beta (* 2 alpha)))) (* (+ 2 alpha) (+ 3 alpha)))
(+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta (+.f64 (+.f64 #s(literal 5 binary64) beta) (*.f64 alpha #s(literal 2 binary64)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 5 (/ 1 beta)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 5 (/ 1 beta)) (/ (* (+ 2 alpha) (+ 3 alpha)) (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta) (/.f64 #s(literal 5 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (* -1 (+ 3 alpha))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (+ 2 alpha)) (+ (* -1 (+ 3 alpha)) (* -1 (/ (* (+ 2 alpha) (+ 3 alpha)) beta)))) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) alpha)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))) beta)))

eval286.0ms (2%)

Compiler

Compiled 48704 to 4528 computations (90.7% saved)

prune227.0ms (1.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1724171741
Fresh4610
Picked415
Done000
Total1732241756
Accuracy
100.0%
Counts
1756 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.5%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
▶94.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
94.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
58.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)))))
58.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
48.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
58.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
57.8%
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
▶60.4%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
43.9%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
✓55.8%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
45.3%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)))))))
87.0%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
45.1%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
▶33.8%
(/.f64 alpha (*.f64 beta beta))
57.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
53.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
4.8%
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
2.4%
(/.f64 #s(literal 1 binary64) alpha)
43.8%
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
90.7%
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta))
55.1%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
▶43.6%
#s(literal 1/12 binary64)
Compiler

Compiled 735 to 458 computations (37.7% saved)

simplify187.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
✓cost-diff0
(-.f64 #s(literal -1 binary64) alpha)
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
✓cost-diff0
(+.f64 #s(literal 3 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
✓cost-diff0
(*.f64 beta beta)
✓cost-diff0
(/.f64 alpha (*.f64 beta beta))
✓cost-diff0
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Rules
2522×*-lowering-*.f32
2522×*-lowering-*.f64
2294×+-lowering-+.f64
2294×+-lowering-+.f32
1336×sum4-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027134
167128
2177128
3688128
44058128
55508127
08089127
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(+ 1 beta)
1
beta
(+ alpha (+ beta 2))
alpha
(+ beta 2)
2
(* (+ 2 beta) (+ 3 beta))
(+ 2 beta)
(+ 3 beta)
3
1/12
(/ alpha (* beta beta))
alpha
(* beta beta)
beta
(/ (/ 1 (+ 2 beta)) (+ 3 beta))
(/ 1 (+ 2 beta))
1
(+ 2 beta)
2
beta
(+ 3 beta)
3
(/ (/ (- -1 alpha) (+ beta (+ alpha 3))) (- -2 (+ beta alpha)))
(/ (- -1 alpha) (+ beta (+ alpha 3)))
(- -1 alpha)
-1
alpha
(+ beta (+ alpha 3))
beta
(+ alpha 3)
3
(- -2 (+ beta alpha))
-2
(+ beta alpha)
Outputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(+ alpha (+ beta 2))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
alpha
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
1/12
#s(literal 1/12 binary64)
(/ alpha (* beta beta))
(/.f64 alpha (*.f64 beta beta))
alpha
(* beta beta)
(*.f64 beta beta)
beta
(/ (/ 1 (+ 2 beta)) (+ 3 beta))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/ 1 (+ 2 beta))
(/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
beta
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (/ (- -1 alpha) (+ beta (+ alpha 3))) (- -2 (+ beta alpha)))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 (-.f64 #s(literal -3 binary64) alpha) beta)))
(/ (- -1 alpha) (+ beta (+ alpha 3)))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(- -1 alpha)
(-.f64 #s(literal -1 binary64) alpha)
-1
#s(literal -1 binary64)
alpha
(+ beta (+ alpha 3))
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
beta
(+ alpha 3)
(+.f64 alpha #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- -2 (+ beta alpha))
(-.f64 #s(literal -2 binary64) (+.f64 beta alpha))
-2
#s(literal -2 binary64)
(+ beta alpha)
(+.f64 beta alpha)

localize212.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 beta alpha)
✓accuracy100.0%
(+.f64 alpha #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
✓accuracy99.9%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
✓accuracy100.0%
(+.f64 #s(literal 3 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta))
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
✓accuracy100.0%
(*.f64 beta beta)
✓accuracy90.2%
(/.f64 alpha (*.f64 beta beta))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
✓accuracy99.3%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Results
155.0ms256×0valid
Compiler

Compiled 141 to 28 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-add: 34.0ms (55.2% of total)
ival-div: 16.0ms (26% of total)
ival-mult: 4.0ms (6.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)
ival-sub: 3.0ms (4.9% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.2%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))>
#<alt (/ (+ 1 beta) (+ alpha (+ beta 2)))>
#<alt (+ 1 beta)>
#<alt (+ alpha (+ beta 2))>
#<alt (/ alpha (* beta beta))>
#<alt (* beta beta)>
#<alt (/ (/ 1 (+ 2 beta)) (+ 3 beta))>
#<alt (/ 1 (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (+ 3 beta)>
#<alt (/ (/ (- -1 alpha) (+ beta (+ alpha 3))) (- -2 (+ beta alpha)))>
#<alt (/ (- -1 alpha) (+ beta (+ alpha 3)))>
#<alt (- -1 alpha)>
#<alt (+ beta (+ alpha 3))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ alpha 3)>
#<alt (+ beta alpha)>
Outputs
#<alt (/ 1/6 (+ 2 alpha))>
#<alt (+ (* beta (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))))) (* 1/6 (/ 1 (+ 2 alpha)))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))>
#<alt (+ (* beta (- (+ (* 1/6 (/ 1 (+ 2 alpha))) (* beta (- (* -1 (* beta (+ (* -1/6 (/ (* (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))) (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha)))) (+ 2 alpha))) (+ (* 1/36 (/ 1 (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ 7 alpha) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 alpha) (+ 6 (* 5 (+ 2 alpha))))) (+ (* -1 (* (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (+ 7 alpha))) (* 6 (+ 2 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 5 (/ (+ 2 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 6 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (+ 2 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) beta) (/ (* (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta))))) (+ 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 5) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 5) (+ 3 beta)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))) (+ 2 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))) alpha)) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) alpha)>
#<alt (/ (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (/ beta (* (+ 2 beta) (+ 3 beta))) (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 3))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) (+ (* -1 (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta)))))) alpha)>
#<alt (/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))) alpha)) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))>
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (/ 1 (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (- (+ 1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha)) beta) (+ 1 (* -1 (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)) beta) (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha))) beta)) (+ 1 (* -1 (+ 2 alpha)))) beta)))>
#<alt (/ (+ 1 beta) (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)>
#<alt (/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) alpha) (* (+ 1 beta) (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 2 beta) 2))) alpha)) (* (+ 1 beta) (+ 2 beta))) alpha))) 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 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)))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -5/36 beta))>
#<alt (+ 1/6 (* beta (- (* 19/216 beta) 5/36)))>
#<alt (+ 1/6 (* beta (- (* beta (+ 19/216 (* -65/1296 beta))) 5/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 5 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 19 (pow beta 2))) (* 5 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 19 (pow beta 2))) (+ (* 5 (/ 1 beta)) (* 65 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 5 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 5 (* 19 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 19 (* 65 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 beta))>
#<alt (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))>
#<alt (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))>
#<alt (/ 1 beta)>
#<alt (/ (- 1 (* 2 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1) 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 3>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt (+ 3 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 3 (/ 1 beta))))>
#<alt (/ 1 (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3)))) (* 5 (/ 1 (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta))))) (* (+ 2 beta) (+ 3 beta)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) alpha)>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta))))) (* -1 (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2)))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)) (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) alpha)) (+ 4 (* 2 beta))) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta)))) alpha)) (/ (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))))) alpha)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))))) alpha)) (+ 4 (* 2 beta))) alpha)) 1) alpha))>
#<alt (/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))>
#<alt (+ (* -1 (/ (* beta (* (+ 1 alpha) (+ 5 (* 2 alpha)))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (* -1 (/ (* (+ 5 (* 2 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))))) (* (+ 2 alpha) (+ 3 alpha))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))>
#<alt (/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 alpha) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) beta)) (* (+ 1 alpha) (+ 5 (* 2 alpha)))) beta)))) (pow beta 2))>
#<alt (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))))) beta)) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)))) beta)) (* (+ 1 alpha) (+ 5 (* 2 alpha)))) beta)))) (pow beta 2))>
#<alt (/ -1 (+ 3 beta))>
#<alt (- (* -1 (* alpha (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))>
#<alt (- (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2))))) (* -1 (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2)))))) (/ 1 (+ 3 beta)))>
#<alt (- (* alpha (+ (* -1 (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2)))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 4))))) (* -1 (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2)))))))) (/ 1 (+ 3 beta)))>
#<alt -1>
#<alt (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1)>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1)>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (pow (+ 3 beta) 2)) (pow alpha 3))))) 1)>
#<alt -1>
#<alt (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1)>
#<alt (- (* -1 (/ (- (/ (* (+ 2 beta) (+ 3 beta)) alpha) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (* (+ 2 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 2 beta) (+ 3 beta))) alpha)) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 (/ (+ 1 alpha) (+ 3 alpha)))>
#<alt (+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))>
#<alt (+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))))>
#<alt (+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))) (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) beta)>
#<alt (/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) beta)>
#<alt (/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) beta)>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) beta))>
#<alt (* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))>
#<alt (* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))>
#<alt -1>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (+ 3 alpha)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))>
#<alt (+ 3 beta)>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt (+ 3 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))>
#<alt 6>
#<alt (+ 6 (* 5 beta))>
#<alt (+ 6 (* beta (+ 5 beta)))>
#<alt (+ 6 (* beta (+ 5 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt 3>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt (+ 3 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 3 (/ 1 alpha))))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
Calls

75 calls:

TimeVariablePointExpression
8.0ms
alpha
@inf
(/ alpha (* beta beta))
1.0ms
beta
@0
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))
1.0ms
beta
@-inf
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))
1.0ms
beta
@-inf
(/ (/ (- -1 alpha) (+ beta (+ alpha 3))) (- -2 (+ beta alpha)))
1.0ms
beta
@inf
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))

rewrite266.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
2362×*-lowering-*.f32
2362×*-lowering-*.f64
1928×sum4-define
1888×fma-lowering-fma.f32
1888×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026103
111497
266796
3485596
0824096
Stop Event
1×iter limit
1×node limit
Counts
17 → 654
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ alpha (+ beta 2))) (* (+ 2 beta) (+ 3 beta)))
(/ (+ 1 beta) (+ alpha (+ beta 2)))
(+ 1 beta)
(+ alpha (+ beta 2))
(/ alpha (* beta beta))
(* beta beta)
(/ (/ 1 (+ 2 beta)) (+ 3 beta))
(/ 1 (+ 2 beta))
(+ 2 beta)
(+ 3 beta)
(/ (/ (- -1 alpha) (+ beta (+ alpha 3))) (- -2 (+ beta alpha)))
(/ (- -1 alpha) (+ beta (+ alpha 3)))
(- -1 alpha)
(+ beta (+ alpha 3))
(* (+ 2 beta) (+ 3 beta))
(+ alpha 3)
(+ beta alpha)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -1 binary64) beta))) (+.f64 beta #s(literal 2 binary64))))
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(fma.f64 #s(literal 3 binary64) beta (+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64)) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) beta (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 3 binary64))))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(fma.f64 (*.f64 beta beta) #s(literal 1 binary64) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -3 binary64) beta) (*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -3 binary64) beta)))
(fma.f64 (-.f64 #s(literal -3 binary64) beta) #s(literal -2 binary64) (*.f64 (-.f64 #s(literal -3 binary64) beta) (-.f64 #s(literal 0 binary64) beta)))
(fma.f64 (-.f64 #s(literal -3 binary64) beta) (-.f64 #s(literal 0 binary64) beta) (*.f64 (-.f64 #s(literal -3 binary64) beta) #s(literal -2 binary64)))
(fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -3 binary64) beta) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal -3 binary64) beta)))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) beta) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (log.f64 beta)) (exp.f64 (log.f64 beta)) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta)) beta (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(/.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))
(*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(*.f64 (-.f64 #s(literal -3 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -3 binary64) beta))
(*.f64 (*.f64 (-.f64 #s(literal -3 binary64) beta) #s(literal -1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+.f64 alpha #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) alpha)
(fma.f64 #s(literal 1 binary64) alpha #s(literal 3 binary64))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) #s(literal 3 binary64))
(+.f64 beta alpha)
(+.f64 alpha beta)
(+.f64 alpha (neg.f64 (-.f64 #s(literal 0 binary64) beta)))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta)) alpha)
(+.f64 (fma.f64 #s(literal 1 binary64) alpha (neg.f64 (*.f64 beta #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64) (*.f64 beta #s(literal -1 binary64))))
(+.f64 (fma.f64 alpha #s(literal 1 binary64) (neg.f64 (*.f64 beta #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64) (*.f64 beta #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (*.f64 beta #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -1 binary64) (*.f64 beta #s(literal -1 binary64))))
(-.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)))
(fma.f64 #s(literal 1 binary64) alpha beta)
(fma.f64 #s(literal 1 binary64) alpha (neg.f64 (-.f64 #s(literal 0 binary64) beta)))
(fma.f64 alpha #s(literal 1 binary64) beta)
(fma.f64 alpha #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) beta)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) beta)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (-.f64 #s(literal 0 binary64) beta)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)))
(*.f64 #s(literal 1 binary64) (+.f64 beta alpha))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)))

simplify689.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
5174×*-lowering-*.f32
5174×*-lowering-*.f64
4616×+-lowering-+.f64
4616×+-lowering-+.f32
1630×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08484987
130254417
085714417
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ 1/6 (+ 2 alpha))
(+ (* beta (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))))) (* 1/6 (/ 1 (+ 2 alpha)))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(+ (* beta (- (+ (* 1/6 (/ 1 (+ 2 alpha))) (* beta (- (* -1 (* beta (+ (* -1/6 (/ (* (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))) (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha)))) (+ 2 alpha))) (+ (* 1/36 (/ 1 (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ 7 alpha) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 alpha) (+ 6 (* 5 (+ 2 alpha))))) (+ (* -1 (* (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (+ 7 alpha))) (* 6 (+ 2 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 5 (/ (+ 2 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 6 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (+ 2 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) beta) (/ (* (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta))))) (+ 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 5) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 5) (+ 3 beta)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))) (+ 2 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))
(/ (+ (* -1 (/ (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))) alpha)) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) alpha)
(/ (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (/ beta (* (+ 2 beta) (+ 3 beta))) (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha)
(/ (- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 3))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) (+ (* -1 (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta)))))) alpha)
(/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))) alpha)) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))
(/ 1 (+ 2 alpha))
(+ (* beta (- (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (/ 1 (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(- (+ 1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))
(- (+ 1 (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))
1
(+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (/ 1 beta)))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha)) beta) (+ 1 (* -1 (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)) beta) (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha))) beta)) (+ 1 (* -1 (+ 2 alpha)))) beta)))
(/ (+ 1 beta) (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)
(/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)
(/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) alpha) (* (+ 1 beta) (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 2 beta) 2))) alpha)) (* (+ 1 beta) (+ 2 beta))) alpha))) 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 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)))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
1/6
(+ 1/6 (* -5/36 beta))
(+ 1/6 (* beta (- (* 19/216 beta) 5/36)))
(+ 1/6 (* beta (- (* beta (+ 19/216 (* -65/1296 beta))) 5/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 5 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 19 (pow beta 2))) (* 5 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 19 (pow beta 2))) (+ (* 5 (/ 1 beta)) (* 65 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 5 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 5 (* 19 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 19 (* 65 (/ 1 beta))) beta))) beta))) (pow beta 2))
1/2
(+ 1/2 (* -1/4 beta))
(+ 1/2 (* beta (- (* 1/8 beta) 1/4)))
(+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))
(/ 1 beta)
(/ (- 1 (* 2 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 2 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 beta)) 2) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 4) beta)) 2) beta)) 1) 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))))
3
(+ 3 beta)
(+ 3 beta)
(+ 3 beta)
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
beta
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(* beta (+ 1 (* 3 (/ 1 beta))))
(/ 1 (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(+ (* alpha (- (+ (* alpha (- (* alpha (- (+ (* 2 (/ beta (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3)))) (* 5 (/ 1 (* (pow (+ 2 beta) 3) (pow (+ 3 beta) 3))))) (+ (* -1 (/ (* (+ 5 (* 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta))))) (* (+ 2 beta) (+ 3 beta)))) (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ (* (+ 5 (* 2 beta)) (- (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (* (+ 2 beta) (+ 3 beta)))))) (/ 1 (* (+ 2 beta) (+ 3 beta)))) (+ (* 2 (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (* 5 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))))) (/ 1 (* (+ 2 beta) (+ 3 beta))))
(/ 1 alpha)
(/ (+ 1 (* -1 (/ (+ 4 (* 2 beta)) alpha))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta))) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) alpha)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta))))) (* -1 (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta)))) (* (+ 2 beta) (+ 3 beta)))))) (pow alpha 3)))) (+ (* -1 (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2)))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)) (/ (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))) alpha)) (+ 4 (* 2 beta))) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 2 beta) (* (+ 3 beta) (+ 4 (* 2 beta)))) alpha)) (/ (* (+ 5 (* 2 beta)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))))) alpha)) (+ (* -1 (* (+ 2 beta) (+ 3 beta))) (* (+ 4 (* 2 beta)) (+ 5 (* 2 beta))))) alpha)) (+ 4 (* 2 beta))) alpha)) 1) alpha))
(/ (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))
(+ (* -1 (/ (* beta (* (+ 1 alpha) (+ 5 (* 2 alpha)))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (* -1 (/ (* (+ 5 (* 2 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2)))))) (* (+ 2 alpha) (+ 3 alpha))))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (* (pow (+ 2 alpha) 3) (pow (+ 3 alpha) 3)))) (+ (/ 1 (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))) (/ alpha (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) (* (pow (+ 2 alpha) 2) (pow (+ 3 alpha) 2))))) (+ (/ 1 (* (+ 2 alpha) (+ 3 alpha))) (/ alpha (* (+ 2 alpha) (+ 3 alpha)))))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* -1 (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))))))) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha))) (pow beta 2)) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) beta)) (* (+ 1 alpha) (+ 5 (* 2 alpha)))) beta)))) (pow beta 2))
(/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (+ (* -1 (/ (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (* (+ 3 alpha) (+ 5 (* 2 alpha)))))) (* (+ 5 (* 2 alpha)) (+ (* -1 (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))))) beta)) (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2)))) beta)) (* (+ 1 alpha) (+ 5 (* 2 alpha)))) beta)))) (pow beta 2))
(/ -1 (+ 3 beta))
(- (* -1 (* alpha (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2))))) (/ 1 (+ 3 beta)))
(- (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2))))) (* -1 (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2)))))) (/ 1 (+ 3 beta)))
(- (* alpha (+ (* -1 (- (/ 1 (+ 3 beta)) (/ 1 (pow (+ 3 beta) 2)))) (* alpha (+ (* -1 (* alpha (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 4))))) (* -1 (- (/ 1 (pow (+ 3 beta) 3)) (/ 1 (pow (+ 3 beta) 2)))))))) (/ 1 (+ 3 beta)))
-1
(- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1)
(- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))) 1)
(- (+ (* -1 (/ (* (+ 2 beta) (+ 3 beta)) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (+ (/ beta alpha) (/ (* (+ 2 beta) (pow (+ 3 beta) 2)) (pow alpha 3))))) 1)
-1
(- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1)
(- (* -1 (/ (- (/ (* (+ 2 beta) (+ 3 beta)) alpha) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (* -1 (/ (- (/ (* (+ 2 beta) (pow (+ 3 beta) 2)) alpha) (* (+ 2 beta) (+ 3 beta))) alpha)) (+ 2 beta)) alpha)) 1)
(* -1 (/ (+ 1 alpha) (+ 3 alpha)))
(+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))))
(+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (* -1 (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))))
(+ (* -1 (/ (+ 1 alpha) (+ 3 alpha))) (* beta (+ (* beta (+ (* -1 (/ (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))) (+ 3 alpha))) (* beta (+ (/ 1 (pow (+ 3 alpha) 4)) (/ alpha (pow (+ 3 alpha) 4)))))) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))))
(* -1 (/ (+ 1 alpha) beta))
(/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) beta)
(/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) beta)
(/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) beta)
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) beta))
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))
-1
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(+ 3 alpha)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(+ 3 beta)
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
(+ 3 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
6
(+ 6 (* 5 beta))
(+ 6 (* beta (+ 5 beta)))
(+ 6 (* beta (+ 5 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
3
(+ 3 alpha)
(+ 3 alpha)
(+ 3 alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
Outputs
(/ 1/6 (+ 2 alpha))
(/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))))) (* 1/6 (/ 1 (+ 2 alpha)))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (+.f64 (/.f64 (+.f64 #s(literal 7/36 binary64) (*.f64 alpha #s(literal 1/36 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 #s(literal 2 binary64) alpha))))) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/36 binary64)))))
(+ (* beta (- (+ (* 1/6 (/ 1 (+ 2 alpha))) (* beta (- (* -1 (* beta (+ (* -1/6 (/ (* (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha)))) (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha)))) (+ 2 alpha))) (+ (* 1/36 (/ 1 (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ 7 alpha) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (+ (* 1/36 (/ (+ 7 alpha) (pow (+ 2 alpha) 2))) (* 1/6 (/ (* (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (- (* 1/6 (/ 1 (+ 2 alpha))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (+ 2 alpha))))))) (* 1/36 (/ (+ (* 2 (+ 5 alpha)) (* 3 (+ 2 alpha))) (pow (+ 2 alpha) 2))))) (* 1/6 (/ 1 (+ 2 alpha))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (*.f64 beta (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 7/36 binary64) (*.f64 alpha #s(literal 1/36 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha #s(literal 7 binary64)))) (+.f64 #s(literal 2 binary64) alpha)))) (neg.f64 beta)) (+.f64 (/.f64 (+.f64 #s(literal 7/36 binary64) (*.f64 alpha #s(literal 1/36 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 #s(literal 2 binary64) alpha))))) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) alpha) #s(literal 10 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1/36 binary64))))))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)) (*.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64))))) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 alpha beta))) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 6 alpha) (+ 6 (* 5 (+ 2 alpha))))) (+ (* -1 (* (+ 6 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 5 (+ 2 alpha)))) (+ 7 alpha))) (* 6 (+ 2 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 5 (/ (+ 2 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 6 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 6 binary64))) (*.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal 6 binary64) (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)) (*.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64))))))) (*.f64 (+.f64 alpha #s(literal 6 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64))))) (*.f64 beta (*.f64 beta beta)))) (-.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 5 binary64)) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 6 binary64) beta) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))) (/.f64 (*.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64))) (*.f64 beta beta)))) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (+ (* -1 (/ (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))) beta))) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3))) beta)) (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64)))) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))) beta)) (/.f64 (+.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -3 binary64) alpha)) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) #s(literal -6 binary64))) beta)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))))) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -6 (/ (+ 2 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) beta) (/ (* (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (+ (* -1 (+ (* -3 (+ 2 alpha)) (* 2 (- (* -1 (+ 2 alpha)) 3)))) (* (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3))))) (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta)) (+ 1 (* -1 (+ 2 (* -1 (- (* -1 (+ 2 alpha)) 3)))))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -12 binary64) (*.f64 alpha #s(literal -6 binary64))) beta) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -3 binary64) alpha)) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) #s(literal -6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))))) beta)) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))))) (+.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -3 binary64) alpha)) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) #s(literal -6 binary64))))) beta)) (-.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))))) (+.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -3 binary64) alpha)) (+.f64 (*.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal 2 binary64)) #s(literal -6 binary64))))) beta)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal -2 binary64) alpha) #s(literal -3 binary64))))) beta)) (*.f64 beta beta))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 beta #s(literal 3 binary64))) (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta))))) (+ 2 beta)) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 5) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 5) (+ 3 beta)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))) (+ 2 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 3) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 3) (+ 3 beta)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 3 binary64))))
(/ (+ (* -1 (/ (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))) alpha)) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) alpha)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 beta (+.f64 beta #s(literal 3 binary64)))) alpha)) alpha)
(/ (- (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (+ (/ beta (* (+ 2 beta) (+ 3 beta))) (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 beta (+.f64 beta #s(literal 3 binary64))))) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) alpha)
(/ (- (+ (* -1 (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 3))) (+ (/ 1 (* (+ 2 beta) (+ 3 beta))) (/ beta (* (+ 2 beta) (+ 3 beta))))) (+ (* -1 (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta)))))) alpha)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 beta (+.f64 beta #s(literal 3 binary64)))) (*.f64 alpha (*.f64 alpha alpha))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 beta (+.f64 beta #s(literal 3 binary64))))) (*.f64 alpha alpha)))) alpha)
(/ (+ 1 beta) (* alpha (* (+ 2 beta) (+ 3 beta))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (+ (/ 1 (* alpha (+ 3 beta))) (/ beta (* alpha (+ 3 beta))))) alpha))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (/ (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ 1 beta) (* (+ 2 beta) (+ 3 beta)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha) (* (+ 2 beta) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta))))) alpha)) (+ (/ 1 (+ 3 beta)) (/ beta (+ 3 beta)))) alpha))) alpha))
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(/ 1 (+ 2 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (/ 1 (+ 2 alpha)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
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(+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 4)))) (/ 1 (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(- (+ 1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 alpha #s(literal 1 binary64))) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))))
(- (+ 1 (* -1 (/ (* (+ 1 alpha) (pow (+ 2 alpha) 2)) (pow beta 3)))) (+ (* -1 (/ (* (+ 1 alpha) (+ 2 alpha)) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta)) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (/ 1 beta)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) (/.f64 #s(literal 1 binary64) beta))
(+ 1 (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha)) beta) (+ 1 (* -1 (+ 2 alpha)))) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* -1 (+ 2 alpha))) (pow (+ 2 alpha) 2)) beta) (* (+ 1 (* -1 (+ 2 alpha))) (+ 2 alpha))) beta)) (+ 1 (* -1 (+ 2 alpha)))) beta)))
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(/ (+ 1 beta) (+ 2 beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 4)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
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(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)
(/.f64 (-.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha)
(/ (- (+ 1 (+ beta (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)
(/.f64 (-.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha)
(/ (- (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) (pow alpha 3))))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))) alpha)
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(/ (+ 1 beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 2)) alpha) (* (+ 1 beta) (+ 2 beta))) alpha))) alpha))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (+.f64 beta #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 2 beta) 3)) alpha) (* (+ 1 beta) (pow (+ 2 beta) 2))) alpha)) (* (+ 1 beta) (+ 2 beta))) alpha))) alpha))
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1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(+ 2 (+ alpha beta))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
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(/ (+ 1 alpha) (pow beta 2))
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(/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)))) (pow beta 2))
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(/ (- (+ 1 (+ alpha (* -1 (/ (+ (* -1 (* (+ 1 alpha) (pow (+ 5 (* 2 alpha)) 2))) (* (+ 1 alpha) (* (+ 2 alpha) (+ 3 alpha)))) (pow beta 2))))) (/ (* (+ 1 alpha) (+ 5 (* 2 alpha))) beta)) (pow beta 2))
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(* -1 (/ (+ 1 alpha) beta))
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(/ (+ (* -1 (+ 1 alpha)) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) beta)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))) beta)
(/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) beta)
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta)) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta beta))))) beta)
(/ (+ (* -1 (+ 1 alpha)) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (+ (/ (* (+ 1 alpha) (+ 3 alpha)) beta) (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) beta)
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 beta beta)))) (+.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta)) (*.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (/.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64)))) (*.f64 beta beta))))) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (+ 3 alpha)) beta)))) beta))
(/.f64 (+.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 3 binary64)) beta))) (neg.f64 beta))
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64))) beta))) beta))) (neg.f64 beta))
(* -1 (/ (+ 1 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) beta)) (* (+ 1 alpha) (pow (+ 3 alpha) 2))) beta)) (* (+ 1 alpha) (+ 3 alpha))) beta)))) beta))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (*.f64 (+.f64 alpha #s(literal 3 binary64)) (+.f64 alpha #s(literal 3 binary64)))) beta))) beta)) beta))) (neg.f64 beta))
-1
#s(literal -1 binary64)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) (/.f64 alpha beta)))
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) beta)) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) alpha)) beta) #s(literal -1 binary64)) (neg.f64 beta))
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 alpha beta))
alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 beta alpha)))
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (+.f64 #s(literal -3 binary64) (neg.f64 beta)) alpha) #s(literal -1 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* 5 beta))
(+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64)))
(+ 6 (* beta (+ 5 beta)))
(+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(+ 6 (* beta (+ 5 beta)))
(+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 beta beta)) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 beta beta)) (/.f64 #s(literal 5 binary64) beta))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 beta beta)) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 beta beta)) (/.f64 #s(literal 5 binary64) beta))))
3
#s(literal 3 binary64)
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)))
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)))
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) 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 (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta) #s(literal -1 binary64)) (neg.f64 beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta) #s(literal -1 binary64)) (neg.f64 beta))
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 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) #s(literal -1 binary64)))

eval200.0ms (1.4%)

Compiler

Compiled 21392 to 2457 computations (88.5% saved)

prune125.0ms (0.9%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New996121008
Fresh71118
Picked325
Done011
Total1006261032
Accuracy
100.0%
Counts
1032 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))))
58.2%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
58.5%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
▶94.7%
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
45.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
▶94.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
57.8%
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
35.7%
(/.f64 (/.f64 alpha beta) beta)
▶35.7%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
54.4%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
▶53.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
52.4%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
43.9%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
✓55.8%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
45.3%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)))))))
87.0%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
45.1%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
✓33.8%
(/.f64 alpha (*.f64 beta beta))
57.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
59.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
53.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
▶2.4%
(/.f64 #s(literal 1 binary64) alpha)
43.8%
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
88.6%
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta))
55.1%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
✓43.6%
#s(literal 1/12 binary64)
Compiler

Compiled 725 to 471 computations (35% saved)

simplify191.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
✓cost-diff0
(+.f64 alpha #s(literal 6 binary64))
✓cost-diff0
(/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
✓cost-diff0
(/.f64 beta alpha)
✓cost-diff0
(/.f64 #s(literal 1 binary64) beta)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(+.f64 beta #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Rules
2404×+-lowering-+.f64
2404×+-lowering-+.f32
1962×fma-lowering-fma.f32
1962×fma-lowering-fma.f64
1414×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027125
175124
2168124
3512123
41918122
55339122
66188122
77687122
08177122
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ beta 1) (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(/ (+ beta 1) (+ 2 beta))
(+ beta 1)
beta
1
(+ 2 beta)
2
(* (+ 2 beta) (+ 3 beta))
(+ 3 beta)
3
(/ 1 alpha)
1
alpha
(/ (/ 1 beta) (/ beta alpha))
(/ 1 beta)
1
beta
(/ beta alpha)
alpha
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
(- 1 (/ (+ alpha 6) beta))
1
(/ (+ alpha 6) beta)
(+ alpha 6)
alpha
6
beta
(* beta beta)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ beta 3))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
1
beta
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ beta 3)
3
Outputs
(/ (/ (+ beta 1) (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64))))))
(/ (+ beta 1) (+ 2 beta))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(+ beta 1)
(+.f64 beta #s(literal 1 binary64))
beta
1
#s(literal 1 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ 2 beta) (+ 3 beta))
(+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(/ (/ 1 beta) (/ beta alpha))
(/.f64 alpha (*.f64 beta beta))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(/ beta alpha)
(/.f64 beta alpha)
alpha
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) (*.f64 beta beta))
(- 1 (/ (+ alpha 6) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta))
1
#s(literal 1 binary64)
(/ (+ alpha 6) beta)
(/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)
(+ alpha 6)
(+.f64 alpha #s(literal 6 binary64))
alpha
6
#s(literal 6 binary64)
beta
(* beta beta)
(*.f64 beta beta)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ beta 3))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64))))))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64)))))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
1
#s(literal 1 binary64)
beta
(* (+ beta 2) (+ beta 2))
(+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64))))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize209.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
✓accuracy70.2%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 beta beta)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta))
✓accuracy100.0%
(/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)
✓accuracy99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
✓accuracy100.0%
(/.f64 beta alpha)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) beta)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
✓accuracy99.3%
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Results
151.0ms256×0valid
Compiler

Compiled 145 to 28 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 17.0ms (51% of total)
ival-add: 9.0ms (27% of total)
ival-mult: 5.0ms (15% of total)
ival-sub: 1.0ms (3% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
18 → 276
Calls
Call 1
Inputs
#<alt (/ (/ (+ beta 1) (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))>
#<alt (/ (+ beta 1) (+ 2 beta))>
#<alt (+ beta 1)>
#<alt (+ 2 beta)>
#<alt (/ 1 alpha)>
#<alt (/ (/ 1 beta) (/ beta alpha))>
#<alt (/ 1 beta)>
#<alt (/ beta alpha)>
#<alt (/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))>
#<alt (- 1 (/ (+ alpha 6) beta))>
#<alt (/ (+ alpha 6) beta)>
#<alt (+ alpha 6)>
#<alt (/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ beta 3))>
#<alt (/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))>
#<alt (+ 1 beta)>
#<alt (* (+ beta 2) (+ beta 2))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (* beta beta)>
Outputs
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<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 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>
#<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)>
#<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 (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<alt (/ alpha (pow beta 2))>
#<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 (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ beta alpha)>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))>
#<alt (- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))>
#<alt (- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))>
#<alt (* -1 (/ alpha (pow beta 3)))>
#<alt (* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))>
#<alt (* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))>
#<alt (* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))>
#<alt (* -1 (/ alpha (pow beta 3)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))>
#<alt (* -1 (/ (+ 6 alpha) (pow beta 3)))>
#<alt (/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))>
#<alt (/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))>
#<alt (/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (- 1 (* 6 (/ 1 beta)))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (/ (+ 6 alpha) beta))>
#<alt (/ (- beta (+ 6 alpha)) beta)>
#<alt (/ (- beta (+ 6 alpha)) beta)>
#<alt (/ (- beta (+ 6 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 6 alpha) beta)))>
#<alt (/ 6 beta)>
#<alt (+ (* 6 (/ 1 beta)) (/ alpha beta))>
#<alt (+ (* 6 (/ 1 beta)) (/ alpha beta))>
#<alt (+ (* 6 (/ 1 beta)) (/ alpha beta))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt (/ (+ 6 alpha) beta)>
#<alt 6>
#<alt (+ 6 alpha)>
#<alt (+ 6 alpha)>
#<alt (+ 6 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 6 (/ 1 alpha))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/36 beta))>
#<alt (+ 1/12 (* beta (- (* -5/432 beta) 1/36)))>
#<alt (+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/16 (pow beta 2)))>
#<alt (+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))>
#<alt (+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))>
#<alt (/ 1 beta)>
#<alt (/ (- 1 (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)>
#<alt (/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)>
#<alt (/ 1 beta)>
#<alt (* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))>
#<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>
#<alt (+ 4 (* 4 beta))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (+ 4 (* beta (+ 4 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))>
#<alt 6>
#<alt (+ 6 (* 5 beta))>
#<alt (+ 6 (* beta (+ 5 beta)))>
#<alt (+ 6 (* beta (+ 5 beta)))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
#<alt (pow beta 2)>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
0.0ms
alpha
@inf
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
0.0ms
alpha
@-inf
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
0.0ms
beta
@inf
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
0.0ms
beta
@0
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))

rewrite296.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
2714×*-lowering-*.f32
2714×*-lowering-*.f64
1538×/-lowering-/.f32
1538×/-lowering-/.f64
1416×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02799
114798
274197
3446997
0808797
Stop Event
1×iter limit
1×node limit
Counts
18 → 933
Calls
Call 1
Inputs
(/ (/ (+ beta 1) (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(/ (+ beta 1) (+ 2 beta))
(+ beta 1)
(+ 2 beta)
(/ 1 alpha)
(/ (/ 1 beta) (/ beta alpha))
(/ 1 beta)
(/ beta alpha)
(/ (- 1 (/ (+ alpha 6) beta)) (* beta beta))
(- 1 (/ (+ alpha 6) beta))
(/ (+ alpha 6) beta)
(+ alpha 6)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ beta 3))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
(* (+ beta 2) (+ beta 2))
(* (+ 2 beta) (+ 3 beta))
(* beta beta)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) beta)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.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 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal -3 binary64) beta))
(/.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
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(+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(+.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(+.f64 (*.f64 beta (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 2 binary64))))
(+.f64 (*.f64 beta #s(literal 2 binary64)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(+.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal -3 binary64))) (neg.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta))))
(+.f64 (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 beta beta)) (*.f64 beta #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 beta #s(literal 2 binary64))) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 6 binary64)) (*.f64 beta #s(literal 3 binary64)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 beta #s(literal 3 binary64))) #s(literal 6 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(fma.f64 beta beta (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 beta #s(literal 2 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 beta (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 beta #s(literal 3 binary64) (+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 beta (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 beta beta) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) beta (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 3 binary64)) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) beta (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) beta (+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) (+.f64 beta #s(literal 2 binary64)) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))
(fma.f64 (*.f64 beta beta) #s(literal 1 binary64) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) beta (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 2 binary64))))
(fma.f64 (+.f64 beta #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) beta) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(fma.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(fma.f64 (*.f64 beta (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 2 binary64))))
(fma.f64 (*.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 3 binary64))))
(neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -3 binary64) beta)))
(*.f64 (-.f64 #s(literal -3 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -3 binary64) beta))
(*.f64 (/.f64 (+.f64 beta #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -2 binary64) beta))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 beta)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 beta beta)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta beta)))
(neg.f64 (/.f64 beta (/.f64 #s(literal -1 binary64) beta)))
(/.f64 beta (/.f64 #s(literal 1 binary64) beta))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(/.f64 (*.f64 beta beta) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) #s(literal -1 binary64))
(pow.f64 beta #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) #s(literal -1 binary64))
(*.f64 beta beta)
(*.f64 #s(literal 1 binary64) (*.f64 beta beta))
(*.f64 (*.f64 beta beta) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 beta beta)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) beta))

simplify261.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2782×*-lowering-*.f32
2782×*-lowering-*.f64
2598×fma-lowering-fma.f32
2598×fma-lowering-fma.f64
1886×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02291727
17091536
218591390
355741374
082291374
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
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 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
(+ 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)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ alpha (pow beta 2))
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ 1 beta)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ beta alpha)
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))
(- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))
(- (+ (* -1 (/ alpha (pow beta 3))) (/ 1 (pow beta 2))) (/ 6 (pow beta 3)))
(* -1 (/ alpha (pow beta 3)))
(* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))
(* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))
(* alpha (- (/ 1 (* alpha (pow beta 2))) (+ (/ 1 (pow beta 3)) (/ 6 (* alpha (pow beta 3))))))
(* -1 (/ alpha (pow beta 3)))
(* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))
(* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))
(* -1 (* alpha (+ (* -1 (/ (- (/ 1 (pow beta 2)) (* 6 (/ 1 (pow beta 3)))) alpha)) (/ 1 (pow beta 3)))))
(* -1 (/ (+ 6 alpha) (pow beta 3)))
(/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))
(/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))
(/ (+ beta (* -1 (+ 6 alpha))) (pow beta 3))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(- 1 (* 6 (/ 1 beta)))
(- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))
(- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))
(- (+ 1 (* -1 (/ alpha beta))) (* 6 (/ 1 beta)))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 6 (* alpha beta)))))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (* 6 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (/ (+ 6 alpha) beta))
(/ (- beta (+ 6 alpha)) beta)
(/ (- beta (+ 6 alpha)) beta)
(/ (- beta (+ 6 alpha)) beta)
1
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
1
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
(+ 1 (* -1 (/ (+ 6 alpha) beta)))
(/ 6 beta)
(+ (* 6 (/ 1 beta)) (/ alpha beta))
(+ (* 6 (/ 1 beta)) (/ alpha beta))
(+ (* 6 (/ 1 beta)) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(* alpha (+ (/ 1 beta) (* 6 (/ 1 (* alpha beta)))))
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
(/ (+ 6 alpha) beta)
6
(+ 6 alpha)
(+ 6 alpha)
(+ 6 alpha)
alpha
(* alpha (+ 1 (* 6 (/ 1 alpha))))
(* alpha (+ 1 (* 6 (/ 1 alpha))))
(* alpha (+ 1 (* 6 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 6 (/ 1 alpha))))
(* alpha (+ 1 (* 6 (/ 1 alpha))))
(* alpha (+ 1 (* 6 (/ 1 alpha))))
1/12
(+ 1/12 (* -1/36 beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
1/4
(+ 1/4 (* -1/16 (pow beta 2)))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(/ 1 beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/ 1 beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
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
(+ 4 (* 4 beta))
(+ 4 (* beta (+ 4 beta)))
(+ 4 (* beta (+ 4 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
6
(+ 6 (* 5 beta))
(+ 6 (* beta (+ 5 beta)))
(+ 6 (* beta (+ 5 beta)))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
(pow beta 2)
Outputs
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/ 1 (pow beta 2))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/ (- (+ 1 (/ 26 (pow beta 2))) (+ (* 6 (/ 1 beta)) (* 98 (/ 1 (pow beta 3))))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta) (/.f64 #s(literal -98 binary64) (*.f64 beta (*.f64 beta beta))))) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/ (- 1 (* 6 (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 beta))) beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 beta))) beta))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) beta)) beta)) beta)) (*.f64 beta beta))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta (+.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 1/16 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) 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 (/.f64 #s(literal 4 binary64) beta) #s(literal -2 binary64)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
(+ 1 beta)
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
(* beta (+ 1 (/ 1 beta)))
(+.f64 beta #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
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(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 5 binary64)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 5 (/ 1 beta))))
(*.f64 beta (+.f64 beta #s(literal 5 binary64)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))))))
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)

eval190.0ms (1.3%)

Compiler

Compiled 20974 to 2043 computations (90.3% saved)

prune248.0ms (1.7%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1226111237
Fresh71118
Picked235
Done033
Total1235281263
Accuracy
100.0%
Counts
1263 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))))
58.2%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
58.5%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
76.2%
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta)))))))
53.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
53.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
✓94.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
57.8%
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
35.7%
(/.f64 (/.f64 alpha beta) beta)
✓35.7%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
54.4%
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
54.1%
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
53.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
54.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
43.9%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
✓55.8%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
42.5%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
45.1%
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
✓33.8%
(/.f64 alpha (*.f64 beta beta))
57.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
53.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓2.4%
(/.f64 #s(literal 1 binary64) alpha)
42.9%
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
42.3%
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
43.8%
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
42.5%
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
55.1%
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
✓43.6%
#s(literal 1/12 binary64)
Compiler

Compiled 1139 to 440 computations (61.4% saved)

regimes51.0ms (0.4%)

Counts
57 → 1
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta)))))))
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 6 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -3 binary64) beta) alpha) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 beta (+.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)))))))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
Calls

3 calls:

17.0ms
beta
16.0ms
alpha
14.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%1alpha
98.7%1beta
98.7%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 43 to 18 computations (58.1% saved)

regimes36.0ms (0.3%)

Counts
52 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta)))))))
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

2 calls:

15.0ms
beta
15.0ms
alpha
Results
AccuracySegmentsBranch
99.1%2alpha
99.7%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 beta (+.f64 #s(literal 5 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta)))))))
(/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) (*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)))))
Outputs
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

14.0ms
beta
Results
AccuracySegmentsBranch
99.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

12.0ms
beta
Results
AccuracySegmentsBranch
99.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

40.0ms
beta
Results
AccuracySegmentsBranch
99.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 beta #s(literal 5 binary64))))
(/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

11.0ms
beta
Results
AccuracySegmentsBranch
99.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.3%)

Counts
36 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Calls

2 calls:

36.0ms
beta
10.0ms
alpha
Results
AccuracySegmentsBranch
67.9%2alpha
98.0%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

10.0ms
beta
Results
AccuracySegmentsBranch
98.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta)
Calls

1 calls:

9.0ms
beta
Results
AccuracySegmentsBranch
98.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 beta (*.f64 beta beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 26 binary64) beta) #s(literal -6 binary64)) beta)) (*.f64 beta beta))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

30.0ms
beta
Results
AccuracySegmentsBranch
98.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
Calls

1 calls:

8.0ms
beta
Results
AccuracySegmentsBranch
98.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 beta beta) #s(literal -1/16 binary64))) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 6 binary64)) beta)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) beta) beta)
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)))
Calls

1 calls:

12.0ms
beta
Results
AccuracySegmentsBranch
98.0%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta #s(literal -5/432 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 12 binary64) (*.f64 alpha #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 5 binary64) beta)) (*.f64 beta beta))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) beta)) (*.f64 beta beta))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

1 calls:

6.0ms
beta
Results
AccuracySegmentsBranch
97.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 3 binary64) beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta alpha))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

1 calls:

5.0ms
beta
Results
AccuracySegmentsBranch
97.4%3beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
95.7%3beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
93.8%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
93.2%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
Calls

2 calls:

3.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
45.5%2alpha
43.8%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
Outputs
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
Calls

2 calls:

2.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
43.8%1beta
43.8%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -26.8b remaining (-74.2%)

Threshold costs -26.8b (-74.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/36 binary64) beta))
Outputs
#s(literal 1/12 binary64)
Calls

2 calls:

2.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
43.6%1alpha
43.6%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
12.0ms
2117106566177917.3
396618935865565100.0
Results
8.0ms80×0valid
Compiler

Compiled 272 to 163 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.5% of total)
ival-add: 2.0ms (41.5% of total)
ival-mult: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2117106566177917.3
396618935865565100.0
Results
11.0ms112×0valid
Compiler

Compiled 322 to 228 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45% of total)
ival-div: 2.0ms (30% of total)
ival-mult: 2.0ms (30% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
12.0ms
2117106566177917.3
396618935865565100.0
Results
8.0ms80×0valid
Compiler

Compiled 232 to 153 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (42% of total)
ival-div: 1.0ms (21% of total)
ival-mult: 1.0ms (21% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch106.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
104.0ms
2117106566177917.3
396618935865565100.0
Results
101.0ms96×0valid
Compiler

Compiled 258 to 168 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.1% of total)
ival-add: 2.0ms (35.1% of total)
ival-mult: 1.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2117106566177917.3
396618935865565100.0
Results
12.0ms112×0valid
Compiler

Compiled 280 to 172 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.3% of total)
ival-div: 2.0ms (30.2% of total)
ival-mult: 2.0ms (30.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
9.821097181482326e-5
1.8016195959054881
Results
14.0ms128×0valid
Compiler

Compiled 314 to 218 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.6% of total)
ival-add: 3.0ms (33.5% of total)
ival-mult: 2.0ms (22.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.8016195959054881
130610.89757011521
Results
17.0ms144×0valid
Compiler

Compiled 330 to 225 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (42.9% of total)
ival-add: 5.0ms (42.9% of total)
ival-mult: 2.0ms (17.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.8016195959054881
130610.89757011521
Results
15.0ms144×0valid
Compiler

Compiled 330 to 234 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (49.1% of total)
ival-div: 3.0ms (29.5% of total)
ival-mult: 2.0ms (19.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.8016195959054881
130610.89757011521
Results
14.0ms144×0valid
Compiler

Compiled 312 to 225 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (46.2% of total)
ival-div: 3.0ms (34.6% of total)
ival-mult: 2.0ms (23.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.8016195959054881
130610.89757011521
Results
14.0ms144×0valid
Compiler

Compiled 240 to 171 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (45.6% of total)
ival-div: 3.0ms (34.2% of total)
ival-mult: 2.0ms (22.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
1.8016195959054881
130610.89757011521
Results
45.0ms144×0valid
Compiler

Compiled 222 to 153 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 34.0ms (86% of total)
ival-add: 4.0ms (10.1% of total)
ival-mult: 2.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.8016195959054881
130610.89757011521
Results
13.0ms144×0valid
Compiler

Compiled 204 to 144 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (48% of total)
ival-div: 3.0ms (36% of total)
ival-mult: 2.0ms (24% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.570963354689548e+157
6.378145244182594e+161
25.0ms
1.8016195959054881
130610.89757011521
Results
26.0ms208×0valid
Compiler

Compiled 276 to 192 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-add: 12.0ms (63.6% of total)
ival-div: 4.0ms (21.2% of total)
ival-mult: 3.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.570963354689548e+157
6.378145244182594e+161
23.0ms
1.8016195959054881
130610.89757011521
Results
31.0ms272×0valid
Compiler

Compiled 314 to 223 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.9% of total)
ival-add: 7.0ms (34.9% of total)
ival-div: 5.0ms (24.9% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.8016195959054881
130610.89757011521
Results
15.0ms144×0valid
Compiler

Compiled 186 to 135 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.2% of total)
ival-add: 4.0ms (40.2% of total)
ival-mult: 2.0ms (20.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
1.8016195959054881
130610.89757011521
Results
14.0ms144×0valid
Compiler

Compiled 186 to 135 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (46.8% of total)
ival-div: 3.0ms (35.1% of total)
ival-mult: 2.0ms (23.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.004250353699657126
2985.44537623422
Results
15.0ms144×0valid
Compiler

Compiled 186 to 135 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (51.9% of total)
ival-div: 3.0ms (31.1% of total)
ival-mult: 2.0ms (20.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
42×+-commutative_binary64
24×*-commutative_binary64
12×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127475
1160475
2171475
3179475
4182475
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(if (<=.f64 beta #s(literal 50000000000000000 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 3900000000000000 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 10000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 8000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 15500000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(if (<=.f64 beta #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 7543529375845581/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (if (<=.f64 beta #s(literal 19999999999999999667183604463834434291207445500349410727340152289209368350020251090629557538918774835024747766887262101350690146963291474669310207406521712640 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (if (<=.f64 beta #s(literal 160000000000000001044545239210916249095306274382180273895181512728328188445410898280165400159821872573061479522994812563100001882376696485698952778407012502339584 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) beta) beta))
(if (<=.f64 beta #s(literal 7543529375845581/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 alpha #s(literal 11/4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
#s(literal 1/12 binary64)
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) alpha))))
(if (<=.f64 beta #s(literal 50000000000000000 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 50000000000000000 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 3900000000000000 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 10000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 3 binary64) beta))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 10000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 8000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 15500000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))) beta))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) beta))
(if (<=.f64 beta #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 beta (+.f64 #s(literal -1/36 binary64) (*.f64 beta (+.f64 #s(literal -5/432 binary64) (*.f64 beta #s(literal 2/81 binary64))))))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 4728779608739021/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(if (<=.f64 beta #s(literal 7656119366529843/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(if (<=.f64 beta #s(literal 5854679515581645/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 7543529375845581/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (if (<=.f64 beta #s(literal 19999999999999999667183604463834434291207445500349410727340152289209368350020251090629557538918774835024747766887262101350690146963291474669310207406521712640 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (if (<=.f64 beta #s(literal 160000000000000001044545239210916249095306274382180273895181512728328188445410898280165400159821872573061479522994812563100001882376696485698952778407012502339584 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 7093169413108531/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) beta) beta))
(if (<=.f64 beta #s(literal 7543529375845581/2251799813685248 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 alpha #s(literal 11/4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(+.f64 #s(literal 1/12 binary64) (*.f64 alpha #s(literal -1/36 binary64)))
#s(literal 1/12 binary64)

soundness3.3s (23.3%)

Rules
7922×fma-define
7862×fma-lowering-fma.f32
7862×fma-lowering-fma.f64
5174×*-lowering-*.f32
5174×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026103
111497
266796
3485596
0824096
08484987
130254417
085714417
01424
13918
213318
367818
4496918
5564418
6580318
7592518
8598318
9598318
10638218
11654418
12669018
13669018
14669018
15679818
16683218
17683318
01056118
022123
1103105
2655105
35558105
08256105
033164
1164152
2931152
08526152
09859408
137678380
083448380
02291727
17091536
218591390
355741374
082291374
0143410538
153609508
080389508
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1599 to 877 computations (45.2% saved)

preprocess139.0ms (1%)

Compiler

Compiled 1212 to 380 computations (68.6% saved)

end0.0ms (0%)

Profiling

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