Octave 3.8, jcobi/3

Time bar (total: 13.7s)

analyze2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
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 43 to 19 computations (55.8% saved)

sample1.3s (9.7%)

Memory
-112.3MiB live, 2 095.5MiB allocated
Samples
982.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 561.0ms
ival-add: 226.0ms (40.3% of total)
ival-div: 150.0ms (26.7% of total)
ival-mult: 117.0ms (20.8% of total)
ival->: 42.0ms (7.5% of total)
exact: 13.0ms (2.3% of total)
ival-and: 10.0ms (1.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess948.0ms (6.9%)

Memory
51.5MiB live, 1 257.1MiB allocated
Algorithm
2×egg-herbie
Rules
26 544×accelerator-lowering-fma.f32
26 544×accelerator-lowering-fma.f64
11 564×+-lowering-+.f64
11 564×+-lowering-+.f32
10 674×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045176
1140164
2476162
32813152
46617152
01427
13527
211227
359525
4403525
5471225
6487525
7499225
8505025
9505025
10542225
11558425
12572925
13572925
14572925
15583725
16587125
17587225
18587225
19602025
20603425
21604825
22604825
01289625
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 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 6 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))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))
(/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta 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))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ alpha (- 3 beta)) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(neg (/ (/ (/ (+ (+ (+ (neg alpha) beta) (* beta (neg alpha))) 1) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (neg alpha) beta) (* 2 1))) (+ (+ (+ (neg alpha) beta) (* 2 1)) 1)))
(/ (* (+ beta 1) (- 1 alpha)) (* (+ 2 (- beta alpha)) (* (+ 2 (- beta alpha)) (+ alpha (- -3 beta)))))
(neg (/ (/ (/ (+ (+ (+ alpha (neg beta)) (* (neg beta) alpha)) 1) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ alpha (neg beta)) (* 2 1))) (+ (+ (+ alpha (neg beta)) (* 2 1)) 1)))
(/ (* (+ (neg beta) 1) (+ alpha 1)) (* (+ (- beta alpha) -3) (* (+ (- beta alpha) -2) (+ (- beta alpha) -2))))
(/ (/ (/ (+ (+ (+ beta alpha) (* alpha beta)) 1) (+ (+ beta alpha) (* 2 1))) (+ (+ beta alpha) (* 2 1))) (+ (+ (+ beta alpha) (* 2 1)) 1))
(/ (* (+ alpha 1) (+ beta 1)) (* (+ alpha (+ beta 2)) (* (+ alpha (+ beta 2)) (+ (+ alpha beta) 3))))
Symmetry

(sort alpha beta)

explain208.0ms (1.5%)

Memory
-43.4MiB live, 355.2MiB allocated
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-beta
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))
00-0-(+.f64 alpha beta)
00-0-(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 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 (/.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-(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))
00-0-alpha
00-0-(*.f64 beta alpha)
00-0-#s(literal 2 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))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.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))))o/n110
↳(+.f64 (+.f64 alpha beta) (*.f64 beta alpha))overflow11
↳(*.f64 beta alpha)overflow11
↳(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) #s(literal 1 binary64))overflow11
Confusion
Predicted +Predicted -
+110
-0245
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-00245
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 322 to 60 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 17.0ms (47.9% of total)
ival-add: 11.0ms (31% of total)
ival-mult: 7.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
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)))
Compiler

Compiled 37 to 14 computations (62.2% saved)

simplify927.0ms (6.8%)

Memory
18.3MiB live, 1 278.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff320
(/.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))))
✓cost-diff384
(/.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)))
Rules
26 544×accelerator-lowering-fma.f32
26 544×accelerator-lowering-fma.f64
11 564×+-lowering-+.f64
11 564×+-lowering-+.f32
10 674×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014100
135100
2112100
359592
4403592
5471292
6487592
7499292
8505092
9505092
10542292
11558492
12572992
13572992
14572992
15583792
16587192
17587292
18587292
19602092
20603492
21604892
22604892
01289691
Stop Event
1×iter 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))
(/ (/ (+ (+ (+ 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 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 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 3 binary64))) #s(literal 6 binary64))))
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
(/.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 #s(literal 2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 4 binary64)))
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(+ (+ (+ alpha beta) (* beta alpha)) 1)
(*.f64 (+.f64 alpha #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))
(+ (+ alpha beta) (* beta alpha))
(fma.f64 alpha (+.f64 beta #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 alpha (+.f64 beta #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))

localize43.0ms (0.3%)

Memory
32.5MiB live, 107.8MiB allocated
Localize:

Found 4 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))))
Samples
24.0ms256×0valid
Compiler

Compiled 124 to 16 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 6.0ms (45.2% of total)
ival-div: 4.0ms (30.1% of total)
ival-mult: 3.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-23.6MiB live, 55.3MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ (+ (+ (+ alpha beta) (* beta alpha)) 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 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<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)))))>
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#<alt (/ (+ 1 beta) alpha)>
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#<alt (* -1 (/ (- (* -1 beta) 1) alpha))>
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#<alt (/ (+ 1 alpha) (pow (+ 2 alpha) 2))>
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#<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))>
#<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 (+ 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 (/ (+ 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))>
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#<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)>
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#<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)))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
alpha
@-inf
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
3.0ms
alpha
@0
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms
beta
@0
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms
beta
@-inf
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1))
2.0ms
beta
@-inf
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))

rewrite379.0ms (2.8%)

Memory
4.4MiB live, 637.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 826×*-lowering-*.f32
4 826×*-lowering-*.f64
4 700×/-lowering-/.f32
4 700×/-lowering-/.f64
3 294×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01469
111161
2114961
0815758
Stop Event
1×iter limit
1×node limit
Counts
5 → 306
Calls
Call 1
Inputs
(/ (/ (/ (+ (+ (+ 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)))
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1) (+ (+ alpha beta) (* 2 1)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.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 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.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 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (+.f64 alpha beta)) #s(literal -3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (*.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha))))
(*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (*.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) #s(literal 1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (*.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (*.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha)) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal 1 binary64)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal 4 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta #s(literal 2 binary64))))))

simplify453.0ms (3.3%)

Memory
-30.2MiB live, 873.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 140×+-lowering-+.f64
7 140×+-lowering-+.f32
6 772×accelerator-lowering-fma.f32
6 772×accelerator-lowering-fma.f64
4 944×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06765446
124055222
081364956
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) 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 (/ (- (* -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))
(/ (+ 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))
(+ 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 beta) (+ 2 beta))
(+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
(+ (* 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))))
(+ (* 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))))
(+ 1 beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(- (+ 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))))
(* -1 (- (* -1 beta) 1))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(+ (* -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)))
(+ (* -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)))
(/ (+ 1 alpha) (+ 2 alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+ (* 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))))
(+ (* 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))))
(+ 1 alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(- (+ 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))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(+ (* -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)))
Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.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)))))
(fma.f64 alpha (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(+ (* 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)))))
(fma.f64 alpha (+.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (*.f64 (*.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) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(+ (* 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)))))
(fma.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))) (fma.f64 alpha (neg.f64 (fma.f64 alpha (+.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (fma.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (*.f64 (*.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) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (fma.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) (/.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64))))))) (fma.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (*.f64 (*.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) (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 beta #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))))
(/ (+ 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))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 beta alpha) beta)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 #s(literal 3 binary64) beta #s(literal 7 binary64)) alpha)))) (*.f64 alpha alpha))
(/ (- (+ 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 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)))
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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)
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(/ (- (+ 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)
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(/ (- (+ 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)
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(* -1 (/ (- (* -1 alpha) 1) beta))
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(* -1 (/ (- (+ (* -1 alpha) (* -1 (/ (- (+ 1 alpha) (* -2 (* (+ 2 alpha) (- (* -1 alpha) 1)))) beta))) 1) beta))
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(* -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))
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(* -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))
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(+ 3 beta)
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(+ 3 (+ alpha beta))
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(+ 3 (+ alpha beta))
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alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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alpha
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(+ 3 (+ alpha beta))
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(+ 3 (+ alpha beta))
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(+ 3 (+ alpha beta))
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beta
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 3 binary64) beta)) beta)
(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
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(/ (+ 1 beta) (+ 2 beta))
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(+ (* alpha (- (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2))))) (+ (/ 1 (+ 2 beta)) (/ beta (+ 2 beta))))
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(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(+ (* 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))))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(- (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(- (+ 1 (+ beta (+ (* -1 (/ (* (+ 2 beta) (- (+ 1 beta) (* (+ 1 beta) (+ 2 beta)))) (pow alpha 2))) (+ (/ 1 alpha) (/ beta alpha))))) (/ (* (+ 1 beta) (+ 2 beta)) alpha))
(+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal -2 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 beta alpha) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(- (+ 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))))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (/.f64 #s(literal 1 binary64) alpha))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 beta alpha))) (fma.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta)))) (*.f64 alpha alpha))))
(* -1 (- (* -1 beta) 1))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta))
(+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 2 beta) (- (* -1 beta) 1))) alpha)))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 #s(literal -1 binary64) beta))
(+ (* -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)))
(-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta)))) alpha))
(+ (* -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)))
(-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))))) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) beta))) alpha))
(/ (+ 1 alpha) (+ 2 alpha))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (* beta (- (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))) (+ (/ 1 (pow (+ 2 alpha) 2)) (/ alpha (pow (+ 2 alpha) 2))))) (+ (/ 1 (+ 2 alpha)) (/ alpha (+ 2 alpha))))
(+.f64 (fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))
(+ (* 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))))
(fma.f64 beta (-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(+ (* 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))))
(fma.f64 beta (fma.f64 beta (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 alpha (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (-.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha))))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(- (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(- (+ 1 (+ alpha (+ (* -1 (/ (* (+ 2 alpha) (- (+ 1 alpha) (* (+ 1 alpha) (+ 2 alpha)))) (pow beta 2))) (+ (/ 1 beta) (/ alpha beta))))) (/ (* (+ 1 alpha) (+ 2 alpha)) beta))
(+.f64 (+.f64 (fma.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) beta)) (+.f64 (/.f64 alpha beta) alpha)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) 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))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))) (*.f64 beta (*.f64 beta beta))) (/.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) beta) alpha))) (fma.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 1 binary64) (-.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))))) (*.f64 beta beta))))
(* -1 (- (* -1 alpha) 1))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) alpha))
(+ (* -1 (- (* -1 alpha) 1)) (* -1 (/ (- (* -1 (+ 1 alpha)) (* (+ 2 alpha) (- (* -1 alpha) 1))) beta)))
(-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) beta))
(+ (* -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)))
(-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) alpha)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha)))) 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)))
(-.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (-.f64 #s(literal -1 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))))) beta)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal -1 binary64) alpha))

eval62.0ms (0.5%)

Memory
25.2MiB live, 134.0MiB allocated
Compiler

Compiled 20 209 to 1 610 computations (92% saved)

prune86.0ms (0.6%)

Memory
-5.9MiB live, 151.1MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New39212404
Fresh000
Picked101
Done000
Total39312405
Accuracy
100.0%
Counts
405 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.9%
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
▶91.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
48.1%
(/.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)))
▶58.7%
(/.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)))
83.6%
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
85.3%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
5.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
▶45.6%
(/.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)))
▶53.7%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
56.8%
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta #s(literal 2 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶94.4%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
63.2%
(*.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
Compiler

Compiled 596 to 314 computations (47.3% saved)

simplify1.2s (8.4%)

Memory
-4.3MiB live, 717.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff384
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff384
(/.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)))
✓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-diff128
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 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 3 binary64)))
✓cost-diff0
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
✓cost-diff64
(+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
Rules
19 128×accelerator-lowering-fma.f32
19 128×accelerator-lowering-fma.f64
4 906×*-lowering-*.f32
4 906×*-lowering-*.f64
4 736×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035290
198290
2338280
32025280
42997278
55102278
65713278
76295278
86418278
08194271
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))))
1
(* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
(+ alpha (+ beta 3))
alpha
(+ beta 3)
beta
3
(* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))
(+ alpha (+ beta 2))
(+ beta 2)
2
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(+ (* (+ alpha 1) beta) 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) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 alpha) beta)
(+ 1 alpha)
1
alpha
beta
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
(* 2 1)
2
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(+ 1 beta)
1
beta
(* (+ beta 2) (+ beta 2))
(+ beta 2)
2
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
alpha
(* 2 1)
Outputs
(/ 1 (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
1
#s(literal 1 binary64)
(* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
(+ alpha (+ beta 3))
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
alpha
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
beta
3
#s(literal 3 binary64)
(* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
(+ alpha (+ beta 2))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))
(/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) beta))
(+ (* (+ alpha 1) beta) 1)
(fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))
(+ alpha 1)
(+.f64 #s(literal 1 binary64) alpha)
(/ (+ 1 alpha) (* beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 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 #s(literal 1 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 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)) (fma.f64 alpha (+.f64 alpha #s(literal 5 binary64)) #s(literal 6 binary64)))
(* (+ 2 alpha) (+ 2 alpha))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 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) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
beta
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+ (+ alpha beta) (* 2 1))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
(* 2 1)
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(* (+ beta 2) (+ beta 2))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 alpha (+.f64 beta #s(literal 3 binary64)))
(+ (+ alpha beta) (* 2 1))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* 2 1)
#s(literal 2 binary64)

localize133.0ms (1%)

Memory
0.7MiB live, 250.3MiB allocated
Localize:

Found 19 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 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 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓accuracy67.2%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓accuracy100.0%
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓accuracy99.7%
(/.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)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
✓accuracy99.9%
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha))
✓accuracy98.1%
(/.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)
✓accuracy95.0%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
✓accuracy99.9%
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))))
✓accuracy99.9%
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
✓accuracy95.9%
(/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))))
Samples
61.0ms256×0valid
Compiler

Compiled 310 to 37 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 17.0ms (42.7% of total)
ival-div: 11.0ms (27.6% of total)
ival-mult: 11.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
16.0MiB live, 93.9MiB allocated
Counts
19 → 348
Calls
Call 1
Inputs
#<alt (/ 1 (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))))>
#<alt (+ alpha (+ (* (+ alpha 1) beta) 1))>
#<alt (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))>
#<alt (+ alpha (+ beta 3))>
#<alt (/ (+ 1 alpha) (* beta beta))>
#<alt (+ 1 alpha)>
#<alt (* beta beta)>
#<alt (* (+ 2 alpha) (+ 2 alpha))>
#<alt (/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))>
#<alt (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))>
#<alt (/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (* (+ beta 2) (+ beta 2))>
#<alt (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))>
#<alt (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))>
#<alt (/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))>
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 (/ (- (* -1 beta) 1) (pow alpha 2)))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))>
#<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))>
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#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<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 (/ (+ 2 beta) (+ 1 beta))>
#<alt (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (/ beta (+ 1 beta)))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))>
#<alt (/ 1 (+ 1 beta))>
#<alt (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))>
#<alt (- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))>
#<alt (/ -1 (- (* -1 beta) 1))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))>
#<alt (/ (+ 2 alpha) (+ 1 alpha))>
#<alt (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))>
#<alt (/ 1 (+ 1 alpha))>
#<alt (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))>
#<alt (- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))>
#<alt (/ 1 (+ 1 alpha))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (* -1 (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))>
#<alt (/ (pow (+ 2 beta) 2) (+ 1 beta))>
#<alt (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))>
#<alt (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 4 (/ 1 (+ 1 beta))) (* alpha (- (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))) (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))))))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))>
#<alt (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 4 (/ 1 (+ 1 beta))) (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))))))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))>
#<alt (/ alpha (+ 1 beta))>
#<alt (* alpha (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (/ 3 (* alpha (+ 1 beta))))))>
#<alt (* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))))))>
#<alt (* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (+ (/ 3 (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))>
#<alt (* -1 (/ alpha (- (* -1 beta) 1)))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (+ (/ (* (+ 1 beta) (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (* alpha (- (* -1 beta) 1))) (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))>
#<alt (/ (pow (+ 2 alpha) 2) (+ 1 alpha))>
#<alt (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))>
#<alt (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))>
#<alt (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))>
#<alt (/ beta (+ 1 alpha))>
#<alt (* beta (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 3 (* beta (+ 1 alpha))))))>
#<alt (* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))))))>
#<alt (* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (+ (/ 3 (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))>
#<alt (/ beta (+ 1 alpha))>
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<alt (* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))>
#<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))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
beta
@-inf
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
3.0ms
alpha
@-inf
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
2.0ms
beta
@0
(/ (+ 1 alpha) (* beta beta))
1.0ms
beta
@inf
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))
1.0ms
beta
@-inf
(/ 1 (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))))

rewrite365.0ms (2.7%)

Memory
-25.2MiB live, 613.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 478×*-lowering-*.f32
5 478×*-lowering-*.f64
3 802×/-lowering-/.f32
3 802×/-lowering-/.f64
2 156×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035197
1292185
23157185
08100180
Stop Event
1×iter limit
1×node limit
Counts
19 → 704
Calls
Call 1
Inputs
(/ 1 (* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))))
(+ alpha (+ (* (+ alpha 1) beta) 1))
(* (+ alpha (+ beta 3)) (* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))))
(+ alpha (+ beta 3))
(/ (+ 1 alpha) (* beta beta))
(+ 1 alpha)
(* beta beta)
(* (+ 2 alpha) (+ 2 alpha))
(/ (+ 1 alpha) (* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha)))
(* (* (+ 2 alpha) (+ 2 alpha)) (+ 3 alpha))
(/ (/ (+ 1 alpha) beta) (+ (+ (+ alpha beta) (* 2 1)) 1))
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ (+ 1 alpha) beta)
(/ (/ (+ 1 beta) (* (+ beta 2) (+ beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1))
(* (+ beta 2) (+ beta 2))
(/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1)))
(* (+ alpha (+ beta 2)) (/ (+ alpha (+ beta 2)) (+ alpha (+ (* (+ alpha 1) beta) 1))))
(/ (+ 1 beta) (* (+ beta 2) (+ beta 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (neg.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))))
(/.f64 (*.f64 (/.f64 (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))))
(pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (+.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (-.f64 (fma.f64 beta beta #s(literal 4 binary64)) (*.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)))

simplify501.0ms (3.7%)

Memory
30.1MiB live, 946.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 976×+-lowering-+.f64
5 976×+-lowering-+.f32
5 588×accelerator-lowering-fma.f32
5 588×accelerator-lowering-fma.f64
4 238×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134410405
145239996
082409653
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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 (/ (- (* -1 beta) 1) (pow alpha 2)))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (+ (* -1 (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) alpha))) (pow alpha 2))
(/ (+ (* -1 (- (* -1 beta) 1)) (* -1 (/ (- (+ (* -1 (+ 1 beta)) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1)))) alpha)) (+ (/ (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha) (/ (* (pow (+ 2 beta) 2) (* (+ 3 beta) (- (* -1 beta) 1))) alpha))) (+ (* -1 (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 (+ 1 beta)) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))))) (* (+ (* -2 (* (+ 2 beta) (+ 3 beta))) (* -1 (pow (+ 2 beta) 2))) (- (* -1 beta) 1)))) alpha))) (* (+ 3 (+ beta (* 2 (+ 2 beta)))) (- (* -1 beta) 1))) 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)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(* -1 (* alpha (- (* -1 beta) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(+ 1 alpha)
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(* beta (+ 1 alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(* beta (+ 1 alpha))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))
(+ (* alpha (- (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (* alpha (- (+ (/ 1 (+ 1 beta)) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(/ (pow alpha 2) (+ 1 beta))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ beta (* (pow alpha 2) (+ 1 beta)))))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ 6 (* (pow alpha 3) (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ beta (* (pow alpha 3) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (+ (/ beta (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))))
(* -1 (/ (pow alpha 2) (- (* -1 beta) 1)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (- (* -1 beta) 1))) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))
(+ (* beta (- (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (* beta (- (+ (/ 1 (+ 1 alpha)) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(/ (pow beta 2) (+ 1 alpha))
(* (pow beta 2) (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha)))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ 6 (* (pow beta 3) (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ alpha (* (pow beta 3) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (+ (/ alpha (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))))
(/ (pow beta 2) (+ 1 alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))) (* -1 (- (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))))) beta))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha))))
(+ 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 (pow beta 2))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (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))))
(/ 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))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
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1
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(+ 4 (* 4 alpha))
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(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
1/12
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(/ (- (+ 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))
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(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
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(+ 12 (* alpha (+ 16 (* 7 alpha))))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
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(/ (+ 1 alpha) (* beta (+ 3 alpha)))
(/ (+ (* -1 (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
(/ (+ (* beta (- (/ (* beta (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2)))) (+ 3 alpha)) (+ (/ 1 (pow (+ 3 alpha) 2)) (/ alpha (pow (+ 3 alpha) 2))))) (+ (/ 1 (+ 3 alpha)) (/ alpha (+ 3 alpha)))) beta)
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(/ (+ 1 alpha) (pow beta 2))
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(/ (- (+ 1 (+ alpha (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2)))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta)) (pow beta 2))
(/ (- (+ 1 (+ alpha (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 3)) (pow beta 3))))) (+ (* -1 (/ (* (+ 1 alpha) (pow (+ 3 alpha) 2)) (pow beta 2))) (/ (* (+ 1 alpha) (+ 3 alpha)) beta))) (pow beta 2))
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(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
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(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
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(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
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(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
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(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
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(/ (+ 1 alpha) beta)
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
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(/ 1 (pow beta 2))
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(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
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(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
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)))))
(/ (+ 2 beta) (+ 1 beta))
(+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ 1 (+ 1 beta))) (+ (* alpha (- (/ 1 (+ 1 beta)) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (/ beta (+ 1 beta)))) (/ 1 (+ 1 beta)))) (/ 1 (+ 1 beta))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))) (+ (* 2 (/ 1 (+ 1 beta))) (/ beta (+ 1 beta))))
(/ 1 (+ 1 beta))
(+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 beta)) (/ beta (+ 1 beta))) (pow alpha 2))) (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta))))))
(- (+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (* (pow alpha 3) (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (+ (/ beta (* alpha (+ 1 beta))) (/ beta (* (pow alpha 3) (+ 1 beta))))))) (+ (/ 1 (* (pow alpha 2) (+ 1 beta))) (/ beta (* (pow alpha 2) (+ 1 beta)))))
(/ -1 (- (* -1 beta) 1))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (+ (/ beta (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (+ 1 beta) 2) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (* alpha (pow (- (* -1 beta) 1) 2)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))
(/ (+ 2 alpha) (+ 1 alpha))
(+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ 1 (+ 1 alpha))) (+ (* beta (- (/ 1 (+ 1 alpha)) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (/ alpha (+ 1 alpha)))) (/ 1 (+ 1 alpha)))) (/ 1 (+ 1 alpha))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))) (+ (* 2 (/ 1 (+ 1 alpha))) (/ alpha (+ 1 alpha))))
(/ 1 (+ 1 alpha))
(+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))
(- (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (* (pow beta 3) (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (+ (/ alpha (* beta (+ 1 alpha))) (/ alpha (* (pow beta 3) (+ 1 alpha))))))) (+ (/ 1 (* (pow beta 2) (+ 1 alpha))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))
(/ 1 (+ 1 alpha))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (* -1 (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 1 alpha)))) beta)) (/ 1 (+ 1 alpha)))
(/ (pow (+ 2 beta) 2) (+ 1 beta))
(+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))
(+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 4 (/ 1 (+ 1 beta))) (* alpha (- (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))) (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))))))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))
(+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 4 (/ 1 (+ 1 beta))) (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ 1 (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (+ (* 2 (/ beta (+ 1 beta))) (* 4 (/ 1 (+ 1 beta)))))))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (+ 1 beta)))
(/ alpha (+ 1 beta))
(* alpha (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (/ 3 (* alpha (+ 1 beta))))))
(* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))))))
(* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (+ (/ 3 (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))
(* -1 (/ alpha (- (* -1 beta) 1)))
(* -1 (* alpha (+ (* -1 (/ (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (+ (/ (* (+ 1 beta) (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (* alpha (- (* -1 beta) 1))) (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(/ (pow (+ 2 alpha) 2) (+ 1 alpha))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(/ beta (+ 1 alpha))
(* beta (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 3 (* beta (+ 1 alpha))))))
(* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))))))
(* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (+ (/ 3 (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))
(/ beta (+ 1 alpha))
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
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))
Outputs
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(+ (* 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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(/ (+ 1 alpha) (* (pow (+ 2 alpha) 2) (+ 3 alpha)))
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(* alpha (+ 1 beta))
(*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))))
(* alpha (+ 1 (+ beta (+ (/ 1 alpha) (/ beta alpha)))))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 beta (/.f64 #s(literal 1 binary64) alpha)) (/.f64 beta alpha))))
(* -1 (* alpha (- (* -1 beta) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta)))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (+ (* -1 beta) (* -1 (/ (+ 1 beta) alpha))) 1)))
(*.f64 (+.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) beta) #s(literal -1 binary64)) (neg.f64 alpha))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(+ 1 (+ alpha (* beta (+ 1 alpha))))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(* beta (+ 1 alpha))
(*.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))))
(* beta (+ 1 (+ alpha (+ (/ 1 beta) (/ alpha beta)))))
(*.f64 beta (+.f64 (+.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 alpha beta))))
(* beta (+ 1 alpha))
(*.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
(* -1 (* beta (+ (* -1 (+ 1 alpha)) (* -1 (/ (+ 1 alpha) beta)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 (+.f64 #s(literal -1 binary64) (neg.f64 alpha)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)))
(/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))
(/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) beta))
(+ (* alpha (- (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(fma.f64 alpha (+.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(fma.f64 alpha (fma.f64 alpha (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) beta))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 beta (+.f64 #s(literal 1 binary64) beta)))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)))) (+.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) beta)))
(+ (* alpha (- (+ (* alpha (- (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (* alpha (- (+ (/ 1 (+ 1 beta)) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (+ (* 2 (/ beta (+ 1 beta))) (+ (* 7 (/ 1 (+ 1 beta))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta))))))) (+ (/ beta (+ 1 beta)) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta))))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (+ 1 beta)) (/ (pow (+ 2 beta) 2) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))) (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (+ 1 beta)))
(fma.f64 alpha (fma.f64 alpha (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) beta))) (fma.f64 alpha (-.f64 (+.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) beta))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 beta (+.f64 #s(literal 1 binary64) beta))))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 beta (+.f64 #s(literal 1 binary64) beta))))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta)))) (+.f64 (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) beta)))
(/ (pow alpha 2) (+ 1 beta))
(/.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) beta))
(* (pow alpha 2) (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (/ beta (* alpha (+ 1 beta)))))))
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ beta (* (pow alpha 2) (+ 1 beta)))))))
(*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))))))
(* (pow alpha 2) (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 6 (* alpha (+ 1 beta))) (+ (/ 6 (* (pow alpha 3) (+ 1 beta))) (+ (/ beta (* alpha (+ 1 beta))) (+ (/ beta (* (pow alpha 3) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 6 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (+ (/ beta (* (pow alpha 2) (+ 1 beta))) (+ (/ (* (+ 3 beta) (+ 4 (* 2 beta))) (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))))
(*.f64 (*.f64 alpha alpha) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha)))))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))))))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) (/.f64 beta (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha)))) (fma.f64 (+.f64 beta #s(literal 3 binary64)) (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha (*.f64 alpha alpha))))))))
(* -1 (/ (pow alpha 2) (- (* -1 beta) 1)))
(/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta))))
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (+ (* -1 (/ (- (/ (* (pow (+ 2 beta) 2) (+ 3 beta)) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (+ (* -2 (/ (* (+ 2 beta) (+ 3 beta)) (- (* -1 beta) 1))) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (- (* -1 beta) 1))) alpha)) (* -1 (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))))) (/ (* (+ 1 beta) (- (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1)))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha)) (+ (* 2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (* 3 (/ 1 (- (* -1 beta) 1))) (/ beta (- (* -1 beta) 1))))) (* -1 (/ (+ 1 beta) (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1))))
(*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta))) (/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (-.f64 #s(literal -1 binary64) beta)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta))) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 beta #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 beta (-.f64 #s(literal -1 binary64) beta)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta)))) (neg.f64 alpha)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) beta))))
(/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))
(+ (* beta (- (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(fma.f64 beta (-.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(fma.f64 beta (fma.f64 beta (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))) (-.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))
(+ (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (* beta (- (+ (/ 1 (+ 1 alpha)) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 7 (/ 1 (+ 1 alpha))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))))))) (+ (/ alpha (+ 1 alpha)) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))) (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha)))
(fma.f64 beta (fma.f64 beta (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) alpha))) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 7 binary64) (+.f64 #s(literal 1 binary64) alpha))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)))))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha))))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))) (-.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (+.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)) (+ (/ 6 (* beta (+ 1 alpha))) (/ alpha (* beta (+ 1 alpha)))))))
(*.f64 (*.f64 beta beta) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ alpha (* (pow beta 2) (+ 1 alpha)))))))
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))))
(* (pow beta 2) (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 6 (* beta (+ 1 alpha))) (+ (/ 6 (* (pow beta 3) (+ 1 alpha))) (+ (/ alpha (* beta (+ 1 alpha))) (+ (/ alpha (* (pow beta 3) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 6 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (+ (/ alpha (* (pow beta 2) (+ 1 alpha))) (+ (/ (* (+ 3 alpha) (+ 4 (* 2 alpha))) (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))))
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 6 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))))) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) alpha) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))))))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))) (/.f64 #s(literal 6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta))))))))
(/ (pow beta 2) (+ 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) alpha))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 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 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha)))) beta)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 alpha) 2) (+ 3 alpha)) (+ 1 alpha))) (* -1 (- (* -1 (/ (+ (* -2 (* (+ 2 alpha) (+ 3 alpha))) (* -1 (pow (+ 2 alpha) 2))) (+ 1 alpha))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))))) beta))) (* -1 (+ (* -1 (/ (+ 3 (+ alpha (* 2 (+ 2 alpha)))) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (/ 1 (+ 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 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 3 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha))))) beta)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha)))) beta)) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) alpha #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) alpha))) beta)))
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
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 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 beta #s(literal 3 binary64)) alpha)) #s(literal -1 binary64)) (neg.f64 alpha))
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 3 (+ alpha beta))
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
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 #s(literal 0 binary64) (*.f64 beta (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -1 binary64))))
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 beta (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -1 binary64))))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/ alpha (pow beta 2))
(/.f64 alpha (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/ alpha (pow beta 2))
(/.f64 alpha (*.f64 beta beta))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(* alpha (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta)))))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
1
#s(literal 1 binary64)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(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)
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(*.f64 beta beta)
(pow beta 2)
(*.f64 beta beta)
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(*.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)
4
#s(literal 4 binary64)
(+ 4 (* 4 alpha))
(fma.f64 alpha #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
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#s(literal 12 binary64)
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(/ (+ 1 alpha) (* beta (+ 3 alpha)))
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(/ (+ 1 alpha) (pow beta 2))
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alpha
(* alpha (+ 1 (+ (* 3 (/ 1 alpha)) (/ beta alpha))))
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alpha
(* -1 (* alpha (- (* -1 (/ (+ 3 beta) alpha)) 1)))
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beta
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(* beta (+ 1 (+ (* 3 (/ 1 beta)) (/ alpha beta))))
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beta
(* -1 (* beta (- (* -1 (/ (+ 3 alpha) beta)) 1)))
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(/ 1/4 (+ 3 alpha))
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(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
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(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 alpha #s(literal 7 binary64)) beta))) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
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(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
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(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
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(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
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(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
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(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
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(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
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4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
(fma.f64 beta #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* beta (+ 4 beta)))
(fma.f64 beta (+.f64 beta #s(literal 4 binary64)) #s(literal 4 binary64))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta)))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
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(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
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(/ 1 (+ 1 beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))
(+ (/ 1 (* alpha (+ 1 beta))) (+ (/ 1 (+ 1 beta)) (/ beta (* alpha (+ 1 beta)))))
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(/ 1 (+ 1 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))
(+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha)))))
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(+ (* -1 (/ (+ (/ 1 (+ 1 alpha)) (/ alpha (+ 1 alpha))) (pow beta 2))) (+ (/ 1 (* beta (+ 1 alpha))) (+ (/ 1 (+ 1 alpha)) (/ alpha (* beta (+ 1 alpha))))))
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(/ 1 (+ 1 alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))
(+ (* -1 (/ (+ (* -1 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))
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(/ (pow (+ 2 beta) 2) (+ 1 beta))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) beta))
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(/ alpha (+ 1 beta))
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(* alpha (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (/ 3 (* alpha (+ 1 beta))))))
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(* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))))))
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(* alpha (- (+ (* 2 (/ beta (* alpha (+ 1 beta)))) (+ (* 2 (/ beta (* (pow alpha 3) (+ 1 beta)))) (+ (/ 1 (+ 1 beta)) (+ (/ 3 (* alpha (+ 1 beta))) (+ (/ 3 (* (pow alpha 3) (+ 1 beta))) (/ (pow (+ 2 beta) 2) (* (pow alpha 2) (+ 1 beta)))))))) (+ (* 2 (/ beta (* (pow alpha 2) (+ 1 beta)))) (+ (* 3 (/ 1 (* (pow alpha 2) (+ 1 beta)))) (/ (pow (+ 2 beta) 2) (* (pow alpha 3) (+ 1 beta)))))))
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(* -1 (/ alpha (- (* -1 beta) 1)))
(/.f64 alpha (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) beta)))
(* -1 (* alpha (+ (* -1 (/ (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) alpha)) (neg.f64 alpha))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) (-.f64 #s(literal -1 binary64) beta)))) alpha)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) alpha))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (* -1 (/ (- (+ (/ (* (+ 1 beta) (- (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1)) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1)))) (* alpha (- (* -1 beta) 1))) (/ (pow (+ 2 beta) 2) (- (* -1 beta) 1))) (/ (* (+ 1 beta) (- (* -2 (/ (+ 2 beta) (- (* -1 beta) 1))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2))))) (- (* -1 beta) 1))) alpha))) (+ (/ 1 (pow (- (* -1 beta) 1) 2)) (/ beta (pow (- (* -1 beta) 1) 2)))) alpha)) (/ 1 (- (* -1 beta) 1)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) (-.f64 #s(literal -1 binary64) beta)))) (*.f64 alpha (-.f64 #s(literal -1 binary64) beta))) (+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) (-.f64 #s(literal -1 binary64) beta))))) alpha)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))) (/.f64 beta (*.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 #s(literal -1 binary64) beta))))) alpha))))
(/ (pow (+ 2 alpha) 2) (+ 1 alpha))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(fma.f64 beta (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(fma.f64 beta (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha))))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))
(+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (+ (* 4 (/ 1 (+ 1 alpha))) (* beta (- (+ (* beta (- (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha))))) (+ (/ 1 (+ 1 alpha)) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (+ (* 2 (/ alpha (+ 1 alpha))) (* 4 (/ 1 (+ 1 alpha)))))))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))
(fma.f64 beta (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (fma.f64 beta (+.f64 (fma.f64 beta (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)) (fma.f64 #s(literal 2 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha))))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha)))
(/ beta (+ 1 alpha))
(/.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* beta (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (/ 3 (* beta (+ 1 alpha))))))
(*.f64 beta (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 3 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha)))))
(* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))))))
(*.f64 beta (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 #s(literal 3 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))))) (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))))))
(* beta (- (+ (* 2 (/ alpha (* beta (+ 1 alpha)))) (+ (* 2 (/ alpha (* (pow beta 3) (+ 1 alpha)))) (+ (/ 1 (+ 1 alpha)) (+ (/ 3 (* beta (+ 1 alpha))) (+ (/ 3 (* (pow beta 3) (+ 1 alpha))) (/ (pow (+ 2 alpha) 2) (* (pow beta 2) (+ 1 alpha)))))))) (+ (* 2 (/ alpha (* (pow beta 2) (+ 1 alpha)))) (+ (* 3 (/ 1 (* (pow beta 2) (+ 1 alpha)))) (/ (pow (+ 2 alpha) 2) (* (pow beta 3) (+ 1 alpha)))))))
(*.f64 beta (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 #s(literal 1 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 #s(literal 3 binary64) (*.f64 beta (+.f64 #s(literal 1 binary64) alpha)))) (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))))) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))) (/.f64 #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta (*.f64 beta beta)))))))
(/ beta (+ 1 alpha))
(/.f64 beta (+.f64 #s(literal 1 binary64) alpha))
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha)))) beta)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(* -1 (* beta (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* -1 (/ (pow (+ 2 alpha) 2) (+ 1 alpha)))) (* -1 (- (* 2 (/ (+ 2 alpha) (+ 1 alpha))) (/ 1 (+ 1 alpha))))) beta)) (* 2 (/ (+ 2 alpha) (+ 1 alpha)))) (/ 1 (+ 1 alpha))) beta)) (/ 1 (+ 1 alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal -1 binary64) (neg.f64 alpha))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha)))) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) alpha))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) alpha #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha)))) beta)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/16 (pow beta 2)))
(fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow beta 2) (- (* 1/16 beta) 1/16)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow beta 2) (- (* beta (+ 1/16 (* -3/64 beta))) 1/16)))
(fma.f64 (*.f64 beta beta) (fma.f64 beta (fma.f64 beta #s(literal -3/64 binary64) #s(literal 1/16 binary64)) #s(literal -1/16 binary64)) #s(literal 1/4 binary64))
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(/ (- 1 (* 3 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) beta)) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (* 3 (/ 1 beta))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) (/.f64 #s(literal -3 binary64) beta))) beta)
(/ (- (+ 1 (/ 8 (pow beta 2))) (+ (* 3 (/ 1 beta)) (* 20 (/ 1 (pow beta 3))))) beta)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 3 binary64) beta) (/.f64 #s(literal 20 binary64) (*.f64 beta (*.f64 beta beta)))))) beta)
(/ 1 beta)
(/.f64 #s(literal 1 binary64) beta)
(* -1 (/ (- (* 3 (/ 1 beta)) 1) beta))
(/.f64 (+.f64 (/.f64 #s(literal 3 binary64) beta) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 beta)) 3) beta)) 1) beta))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) beta) #s(literal -3 binary64)) beta)) #s(literal -1 binary64)) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20 (/ 1 beta)) 8) beta)) 3) beta)) 1) beta))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 20 binary64) beta) #s(literal -8 binary64)) (-.f64 #s(literal 0 binary64) beta)) #s(literal -3 binary64)) beta) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) beta))

eval201.0ms (1.5%)

Memory
15.8MiB live, 327.0MiB allocated
Compiler

Compiled 37 790 to 3 600 computations (90.5% saved)

prune160.0ms (1.2%)

Memory
-12.6MiB live, 421.7MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1 206211 227
Fresh617
Picked415
Done000
Total1 216231 239
Accuracy
100.0%
Counts
1 239 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(fma.f64 beta (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
42.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
42.3%
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
42.3%
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
41.6%
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
▶91.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
91.1%
(/.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)))
58.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
58.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
85.3%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
▶45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓53.7%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
35.5%
(/.f64 alpha (*.f64 beta beta))
57.3%
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
50.6%
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
▶50.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
5.4%
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
6.1%
(/.f64 #s(literal 1 binary64) beta)
▶44.8%
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
53.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
85.6%
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
▶42.1%
#s(literal 1/12 binary64)
Compiler

Compiled 555 to 376 computations (32.3% saved)

simplify676.0ms (4.9%)

Memory
24.9MiB live, 982.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 alpha #s(literal 4 binary64))
✓cost-diff0
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓cost-diff0
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓cost-diff192
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
✓cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 beta beta)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓cost-diff0
(+.f64 beta #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff384
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
Rules
19 710×accelerator-lowering-fma.f32
19 710×accelerator-lowering-fma.f64
8 452×+-lowering-+.f64
8 452×+-lowering-+.f32
6 608×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029135
174135
2216135
3827135
44220135
54545135
64847135
75064135
85216135
95385135
105961135
116049135
126158135
136181135
146184135
156184135
166187135
176196135
09824132
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ alpha (+ beta 3)) (+ beta 2)))
(/ (+ 1 beta) (+ beta 2))
(+ 1 beta)
1
beta
(+ beta 2)
2
(* (+ alpha (+ beta 3)) (+ beta 2))
(+ alpha (+ beta 3))
alpha
(+ beta 3)
3
1/12
(/ 1 (* beta beta))
1
(* beta beta)
beta
(/ 1/4 (+ (+ (+ alpha beta) (* 2 1)) 1))
1/4
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+ (+ alpha beta) (* 2 1))
(+ alpha beta)
alpha
beta
(* 2 1)
2
1
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(+ 1 alpha)
1
alpha
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(+ (* alpha (+ alpha 4)) 4)
(+ alpha 4)
4
(+ 3 alpha)
3
Outputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ alpha (+ beta 3)) (+ beta 2)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/ (+ 1 beta) (+ beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ alpha (+ beta 3)) (+ beta 2))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(+ alpha (+ beta 3))
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
alpha
(+ beta 3)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
1/12
#s(literal 1/12 binary64)
(/ 1 (* beta beta))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
1
#s(literal 1 binary64)
(* beta beta)
(*.f64 beta beta)
beta
(/ 1/4 (+ (+ (+ alpha beta) (* 2 1)) 1))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
1/4
#s(literal 1/4 binary64)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(+.f64 beta (+.f64 alpha #s(literal 3 binary64)))
(+ (+ alpha beta) (* 2 1))
(+.f64 beta (+.f64 #s(literal 2 binary64) alpha))
(+ alpha beta)
(+.f64 beta alpha)
alpha
beta
(* 2 1)
#s(literal 2 binary64)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 (+.f64 alpha #s(literal 4 binary64)) (+.f64 alpha #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 12 binary64)))
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(fma.f64 alpha (fma.f64 (+.f64 alpha #s(literal 4 binary64)) (+.f64 alpha #s(literal 3 binary64)) #s(literal 4 binary64)) #s(literal 12 binary64))
(+ (* alpha (+ alpha 4)) 4)
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ alpha 4)
(+.f64 alpha #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 3 alpha)
(+.f64 alpha #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize102.0ms (0.7%)

Memory
-22.5MiB live, 169.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 3 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy99.9%
(*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))
✓accuracy98.1%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓accuracy100.0%
(+.f64 alpha beta)
✓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 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 beta beta)
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓accuracy98.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
Samples
67.0ms256×0valid
Compiler

Compiled 146 to 31 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-add: 13.0ms (39.9% of total)
ival-div: 8.0ms (24.6% of total)
ival-mult: 7.0ms (21.5% of total)
const: 4.0ms (12.3% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
18 → 276
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 beta) (+ beta 2)) (* (+ alpha (+ beta 3)) (+ beta 2)))>
#<alt (/ (+ 1 beta) (+ beta 2))>
#<alt (+ 1 beta)>
#<alt (+ beta 2)>
#<alt (/ 1 (* beta beta))>
#<alt (* beta beta)>
#<alt (* 2 1)>
#<alt (+ (+ (+ alpha beta) (* 2 1)) 1)>
#<alt (/ 1/4 (+ (+ (+ alpha beta) (* 2 1)) 1))>
#<alt (+ (+ alpha beta) (* 2 1))>
#<alt (/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))>
#<alt (+ 1 alpha)>
#<alt (+ (* alpha (+ alpha 4)) 4)>
#<alt (+ alpha 4)>
#<alt (* (+ alpha (+ beta 3)) (+ beta 2))>
#<alt (+ alpha beta)>
#<alt (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))>
#<alt (+ 3 alpha)>
Outputs
#<alt (/ 1/4 (+ 3 alpha))>
#<alt (+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))>
#<alt (/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)>
#<alt (/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)>
#<alt (/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 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 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (pow beta 2))>
#<alt (/ 1 (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 (+ 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 (+ 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 (/ 1/4 (+ 3 beta))>
#<alt (+ (* -1/4 (/ alpha (pow (+ 3 beta) 2))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (+ (* alpha (- (* 1/4 (/ alpha (pow (+ 3 beta) 3))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (+ (* alpha (- (* alpha (+ (* -1/4 (/ alpha (pow (+ 3 beta) 4))) (* 1/4 (/ 1 (pow (+ 3 beta) 3))))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (/ 1/4 alpha)>
#<alt (/ (+ 1/4 (* -1/4 (/ (+ 3 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2)))) (* 1/4 (/ (+ 3 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (* 1/4 (/ (+ 3 beta) alpha)))) alpha)>
#<alt (/ 1/4 alpha)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ 3 beta) alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 2) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 3) alpha)) (* 1/4 (pow (+ 3 beta) 2))) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))>
#<alt (/ 1/4 (+ 3 alpha))>
#<alt (+ (* -1/4 (/ beta (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* 1/4 (/ beta (pow (+ 3 alpha) 3))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* beta (+ (* -1/4 (/ beta (pow (+ 3 alpha) 4))) (* 1/4 (/ 1 (pow (+ 3 alpha) 3))))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1/4 beta)>
#<alt (/ (+ 1/4 (* -1/4 (/ (+ 3 alpha) beta))) beta)>
#<alt (/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2)))) (* 1/4 (/ (+ 3 alpha) beta))) beta)>
#<alt (/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (* 1/4 (/ (+ 3 alpha) beta)))) beta)>
#<alt (/ 1/4 beta)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ 3 alpha) beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 2) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 3) beta)) (* 1/4 (pow (+ 3 alpha) 2))) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) 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 1/12>
#<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 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 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 4>
#<alt (+ 4 alpha)>
#<alt (+ 4 alpha)>
#<alt (+ 4 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 4 (/ 1 alpha))))>
#<alt (* (+ 2 beta) (+ 3 beta))>
#<alt (+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))>
#<alt (+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))>
#<alt (* alpha (+ 2 beta))>
#<alt (* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))>
#<alt (* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))>
#<alt (* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))>
#<alt (* alpha (+ 2 beta))>
#<alt (* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))>
#<alt (* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))>
#<alt (* 2 (+ 3 alpha))>
#<alt (+ (* 2 (+ 3 alpha)) (* beta (+ 5 alpha)))>
#<alt (+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))>
#<alt (+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ alpha beta))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))>
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))>
#<alt (pow beta 2)>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (+ 3 alpha)) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))>
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt 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 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))))>
Calls

69 calls:

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

rewrite838.0ms (6.1%)

Memory
16.3MiB live, 829.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 016×/-lowering-/.f32
6 016×/-lowering-/.f64
4 744×*-lowering-*.f32
4 744×*-lowering-*.f64
2 418×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
1224108
22149106
08866103
Stop Event
1×iter limit
1×node limit
Counts
18 → 952
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ alpha (+ beta 3)) (+ beta 2)))
(/ (+ 1 beta) (+ beta 2))
(+ 1 beta)
(+ beta 2)
(/ 1 (* beta beta))
(* beta beta)
(* 2 1)
(+ (+ (+ alpha beta) (* 2 1)) 1)
(/ 1/4 (+ (+ (+ alpha beta) (* 2 1)) 1))
(+ (+ alpha beta) (* 2 1))
(/ (+ 1 alpha) (* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha)))
(+ 1 alpha)
(+ (* alpha (+ alpha 4)) 4)
(+ alpha 4)
(* (+ alpha (+ beta 3)) (+ beta 2))
(+ alpha beta)
(* (+ (* alpha (+ alpha 4)) 4) (+ 3 alpha))
(+ 3 alpha)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (/.f64 (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) beta))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (neg.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta))))))
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) beta)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 beta #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))
(/.f64 (neg.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) beta))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta))) (neg.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))) (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -3 binary64)))
(pow.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 3 binary64))) (+.f64 #s(literal -2 binary64) (neg.f64 beta)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal -3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal -2 binary64) (neg.f64 beta))) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta (+.f64 alpha #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal 12 binary64)) (fma.f64 #s(literal 3 binary64) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal 12 binary64))) (*.f64 (*.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))))) (neg.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal 12 binary64)) (*.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)))) (neg.f64 (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64)))) #s(literal 64 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal 16 binary64)) (*.f64 alpha (*.f64 (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal -16 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64)))) #s(literal 64 binary64)) (+.f64 alpha #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal 16 binary64)) (*.f64 alpha (*.f64 (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 4 binary64))) #s(literal -16 binary64)) (+.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 3 binary64) alpha)))
(*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 alpha #s(literal 3 binary64)))
(*.f64 (+.f64 alpha #s(literal 3 binary64)) (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)))
(+.f64 alpha #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) alpha)
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 3 binary64) alpha)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 alpha #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) alpha #s(literal 3 binary64))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 9 binary64) (*.f64 alpha #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 3 binary64) alpha))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) (neg.f64 (fma.f64 alpha alpha (-.f64 #s(literal 9 binary64) (*.f64 alpha #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) #s(literal 9 binary64)) (-.f64 alpha #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) alpha)) (*.f64 (-.f64 #s(literal 3 binary64) alpha) (*.f64 alpha alpha))) (*.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 3 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)))) (neg.f64 (neg.f64 (-.f64 #s(literal 3 binary64) alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) #s(literal 9 binary64))) (neg.f64 (-.f64 alpha #s(literal 3 binary64))))
(pow.f64 (/.f64 (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) alpha)))

simplify457.0ms (3.3%)

Memory
-18.8MiB live, 630.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 280×accelerator-lowering-fma.f32
6 280×accelerator-lowering-fma.f64
5 226×*-lowering-*.f32
5 226×*-lowering-*.f64
3 324×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05853090
118902960
258932892
082792764
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ 1/4 (+ 3 alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1 (pow beta 2))
(/ (+ 1 (* -1 (/ (+ 6 alpha) beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/ 1 (pow beta 2))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 beta)))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ 1 beta) (pow (+ 2 beta) 2))) (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* alpha (pow (+ 2 beta) 2))) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (pow (+ 2 beta) 2))) alpha)) (/ (* (+ 1 beta) (+ 3 beta)) (pow (+ 2 beta) 2))) alpha))) alpha))
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1
(+ 1 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 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (pow beta 2))
(/ 1 (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)
(+ 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)))
(/ 1/4 (+ 3 beta))
(+ (* -1/4 (/ alpha (pow (+ 3 beta) 2))) (* 1/4 (/ 1 (+ 3 beta))))
(+ (* alpha (- (* 1/4 (/ alpha (pow (+ 3 beta) 3))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))
(+ (* alpha (- (* alpha (+ (* -1/4 (/ alpha (pow (+ 3 beta) 4))) (* 1/4 (/ 1 (pow (+ 3 beta) 3))))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))
(/ 1/4 alpha)
(/ (+ 1/4 (* -1/4 (/ (+ 3 beta) alpha))) alpha)
(/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2)))) (* 1/4 (/ (+ 3 beta) alpha))) alpha)
(/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (* 1/4 (/ (+ 3 beta) alpha)))) alpha)
(/ 1/4 alpha)
(* -1 (/ (- (* 1/4 (/ (+ 3 beta) alpha)) 1/4) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 2) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 3) alpha)) (* 1/4 (pow (+ 3 beta) 2))) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))
(/ 1/4 (+ 3 alpha))
(+ (* -1/4 (/ beta (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* 1/4 (/ beta (pow (+ 3 alpha) 3))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* beta (+ (* -1/4 (/ beta (pow (+ 3 alpha) 4))) (* 1/4 (/ 1 (pow (+ 3 alpha) 3))))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1/4 beta)
(/ (+ 1/4 (* -1/4 (/ (+ 3 alpha) beta))) beta)
(/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2)))) (* 1/4 (/ (+ 3 alpha) beta))) beta)
(/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (* 1/4 (/ (+ 3 alpha) beta)))) beta)
(/ 1/4 beta)
(* -1 (/ (- (* 1/4 (/ (+ 3 alpha) beta)) 1/4) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 2) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 3) beta)) (* 1/4 (pow (+ 3 alpha) 2))) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) 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)))
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))
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)))
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)))))
4
(+ 4 alpha)
(+ 4 alpha)
(+ 4 alpha)
alpha
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(* (+ 2 beta) (+ 3 beta))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(* alpha (+ 2 beta))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(* alpha (+ 2 beta))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(* 2 (+ 3 alpha))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 alpha)))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(pow beta 2)
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ alpha beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(pow beta 2)
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (+ 3 alpha)) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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)))
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))))
Outputs
(/ 1/4 (+ 3 alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha))
(+ (* beta (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* -1 (* beta (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha)))))) (* 1/4 (/ 1 (+ 3 alpha)))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(+ (* beta (- (+ (* 1/4 (/ 1 (+ 3 alpha))) (* beta (- (* -1 (* beta (+ (* -1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))) (+ 3 alpha))) (+ (* 1/16 (/ 1 (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 7 alpha) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (+ (* 1/16 (/ (+ 7 alpha) (pow (+ 3 alpha) 2))) (* 1/4 (/ (* (+ 4 (* 4 (+ 3 alpha))) (- (* 1/4 (/ 1 (+ 3 alpha))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (+ 3 alpha))))))) (* 1/16 (/ (+ 4 (* 4 (+ 3 alpha))) (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(fma.f64 beta (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (fma.f64 beta (-.f64 #s(literal 0 binary64) (fma.f64 beta (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (+.f64 #s(literal 3 binary64) alpha)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 4 binary64) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha))) (/.f64 (fma.f64 alpha #s(literal 1/16 binary64) #s(literal 7/16 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (-.f64 #s(literal -3 binary64) alpha))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(/ 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 #s(literal -6 binary64) alpha) beta)) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 2)))) (+ (* 6 (/ 1 beta)) (/ alpha beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64))) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 6 binary64) beta) (/.f64 alpha beta)))) (*.f64 beta beta))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ 4 (* 4 (+ 3 alpha))) (+ 6 alpha))) (+ (* -1 (* (+ 4 (+ (* -1 (* (+ 6 alpha) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (+ 7 alpha))) (* 4 (+ 3 alpha)))) (pow beta 3)))) (+ (* -1 (/ (* (+ 6 alpha) (+ 7 alpha)) (pow beta 2))) (+ (* 4 (/ (+ 3 alpha) (pow beta 2))) (+ (* 6 (/ 1 beta)) (+ (/ 4 (pow beta 2)) (/ alpha beta)))))) (pow beta 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal 4 binary64) #s(literal 4 binary64)) (-.f64 #s(literal -6 binary64) alpha) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64))) (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (-.f64 #s(literal -7 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 6 binary64)) (*.f64 beta beta)) (+.f64 (/.f64 #s(literal 6 binary64) beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (/.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (*.f64 beta beta)))))) (*.f64 beta beta))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/ (+ 1 (+ (* -1 (/ (+ 7 alpha) beta)) (/ 1 beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -4 (+ 3 alpha)) 4) beta)) (/ (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 6 binary64)) (/.f64 (+.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (-.f64 #s(literal -6 binary64) alpha) #s(literal 4 binary64))) beta)) beta)) (*.f64 beta beta))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (+ 3 alpha) beta)) (+ (/ (* (+ 1 (* -1 (+ 7 alpha))) (- (* -4 (+ 3 alpha)) 4)) beta) (/ (* (+ 7 alpha) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta))) (+ (* -1 (- (* -4 (+ 3 alpha)) 4)) (* (+ 1 (* -1 (+ 7 alpha))) (+ 7 alpha)))) beta)) (+ 1 (* -1 (+ 7 alpha)))) beta))) (pow beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (/.f64 (+.f64 (fma.f64 alpha #s(literal 4 binary64) #s(literal 12 binary64)) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (-.f64 #s(literal -6 binary64) alpha) #s(literal 4 binary64))) beta) (fma.f64 (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64)) (/.f64 (-.f64 #s(literal -6 binary64) alpha) beta) (/.f64 (fma.f64 alpha #s(literal -4 binary64) #s(literal -12 binary64)) beta))) (fma.f64 (+.f64 alpha #s(literal 7 binary64)) (+.f64 alpha #s(literal 6 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) #s(literal -4 binary64) #s(literal -4 binary64)))) beta) (-.f64 #s(literal -6 binary64) alpha)) beta)) (*.f64 beta beta))
(/ (+ 1 beta) (* (pow (+ 2 beta) 2) (+ 3 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))))
(+ (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+.f64 (/.f64 #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 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))))) (+ 3 beta)) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))) (fma.f64 alpha (-.f64 (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (+.f64 #s(literal 3 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 4)))))) (* -1 (/ (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))) (+ 3 beta))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2))) (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3 beta) 2)))))) (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3 beta)))))
(fma.f64 alpha (-.f64 (fma.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (+.f64 #s(literal 3 binary64) beta)) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) beta) #s(literal 4 binary64)))) (/.f64 alpha (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) beta) #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)))))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta))))) (+.f64 (/.f64 #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 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))))))
(/ (+ 1 beta) (* alpha (pow (+ 2 beta) 2)))
(/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) alpha)
(/.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal -3 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.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 beta #s(literal 2 binary64)))))) alpha)
(/ (- (+ (/ 1 (pow (+ 2 beta) 2)) (+ (/ beta (pow (+ 2 beta) 2)) (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2))))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2)))) alpha)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 beta (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) beta) (+.f64 #s(literal 3 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) alpha)) alpha)
(/ (- (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 3)) (* (pow alpha 3) (pow (+ 2 beta) 2)))) (+ (/ 1 (pow (+ 2 beta) 2)) (/ beta (pow (+ 2 beta) 2)))) (+ (* -1 (/ (* (+ 1 beta) (pow (+ 3 beta) 2)) (* (pow alpha 2) (pow (+ 2 beta) 2)))) (/ (* (+ 1 beta) (+ 3 beta)) (* alpha (pow (+ 2 beta) 2))))) alpha)
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(+.f64 beta (fma.f64 beta (/.f64 alpha beta) #s(literal 2 binary64)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (fma.f64 beta (/.f64 alpha beta) #s(literal 2 binary64)))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (fma.f64 beta (/.f64 alpha beta) #s(literal 2 binary64)))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) (-.f64 #s(literal 0 binary64) beta))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 alpha))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* alpha (- (* -5/432 alpha) 1/36)))
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* alpha (- (* alpha (- (* 2/81 alpha) 5/432)) 1/36)))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha)) (*.f64 alpha alpha))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 (/.f64 #s(literal 26 binary64) (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha))) (*.f64 alpha alpha))
(/ (- (+ 1 (/ 26 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 98 (/ 1 (pow alpha 3))))) (pow alpha 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 26 binary64) (*.f64 alpha alpha))) (-.f64 (/.f64 #s(literal -6 binary64) alpha) (/.f64 #s(literal 98 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (*.f64 alpha alpha))
(/ 1 (pow alpha 2))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/ (- 1 (* 6 (/ 1 alpha))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) alpha)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (- 6 (* 26 (/ 1 alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -26 binary64) alpha)) alpha)) (*.f64 alpha alpha))
(/ (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 26 (* 98 (/ 1 alpha))) alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 26 binary64) (/.f64 #s(literal -98 binary64) alpha)) alpha)) alpha)) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(+ 1 alpha)
(+.f64 alpha #s(literal 1 binary64))
(+ 1 alpha)
(+.f64 alpha #s(literal 1 binary64))
(+ 1 alpha)
(+.f64 alpha #s(literal 1 binary64))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 alpha #s(literal 1 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 alpha))
(fma.f64 alpha #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(+ 4 (* alpha (+ 4 alpha)))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(*.f64 alpha (+.f64 alpha #s(literal 4 binary64)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(pow alpha 2)
(*.f64 alpha alpha)
(* (pow alpha 2) (+ 1 (* 4 (/ 1 alpha))))
(*.f64 alpha (+.f64 alpha #s(literal 4 binary64)))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
(* (pow alpha 2) (+ 1 (+ (* 4 (/ 1 alpha)) (/ 4 (pow alpha 2)))))
(fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) (*.f64 (*.f64 alpha alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))))
4
#s(literal 4 binary64)
(+ 4 alpha)
(+.f64 alpha #s(literal 4 binary64))
(+ 4 alpha)
(+.f64 alpha #s(literal 4 binary64))
(+ 4 alpha)
(+.f64 alpha #s(literal 4 binary64))
alpha
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
alpha
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
(* alpha (+ 1 (* 4 (/ 1 alpha))))
(+.f64 alpha #s(literal 4 binary64))
(* (+ 2 beta) (+ 3 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(+ (* alpha (+ 2 beta)) (* (+ 2 beta) (+ 3 beta)))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (+.f64 alpha beta)))
(* alpha (+ 2 beta))
(*.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 (+ beta (/ (* (+ 2 beta) (+ 3 beta)) alpha))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* alpha (+ 2 beta))
(*.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* -1 (* alpha (+ (* -1 (+ 2 beta)) (* -1 (/ (* (+ 2 beta) (+ 3 beta)) alpha)))))
(*.f64 alpha (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) beta) alpha) #s(literal 2 binary64))))
(* 2 (+ 3 alpha))
(fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 alpha)))
(fma.f64 beta (+.f64 alpha #s(literal 5 binary64)) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 5 binary64))) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(+ (* 2 (+ 3 alpha)) (* beta (+ 5 (+ alpha beta))))
(fma.f64 beta (+.f64 beta (+.f64 alpha #s(literal 5 binary64))) (fma.f64 alpha #s(literal 2 binary64) #s(literal 6 binary64)))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ alpha beta))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1 binary64))))
(* (pow beta 2) (+ 1 (+ (* 2 (/ (+ 3 alpha) (pow beta 2))) (+ (* 5 (/ 1 beta)) (/ alpha beta)))))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 5 binary64) beta)) (fma.f64 (+.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) #s(literal 1 binary64))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* -1 (/ (- (* -1 (+ 3 alpha)) 2) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal -3 binary64) alpha) #s(literal -2 binary64)) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -2 binary64) (+.f64 (-.f64 #s(literal -3 binary64) alpha) #s(literal -2 binary64))) beta)))
(* (pow beta 2) (+ 1 (* -1 (/ (- (+ (* -2 (/ (+ 3 alpha) beta)) (* -1 (+ 3 alpha))) 2) beta))))
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) alpha) beta) #s(literal -2 binary64) (+.f64 (-.f64 #s(literal -3 binary64) alpha) #s(literal -2 binary64))) beta)))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
(* alpha (+ 1 (/ beta alpha)))
(fma.f64 alpha (/.f64 beta alpha) alpha)
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta alpha)) (-.f64 #s(literal 0 binary64) alpha))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
(* beta (+ 1 (/ alpha beta)))
(fma.f64 beta (/.f64 alpha beta) beta)
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) beta))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)) (-.f64 #s(literal 0 binary64) beta))
12
#s(literal 12 binary64)
(+ 12 (* 16 alpha))
(fma.f64 alpha #s(literal 16 binary64) #s(literal 12 binary64))
(+ 12 (* alpha (+ 16 (* 7 alpha))))
(fma.f64 alpha (fma.f64 alpha #s(literal 7 binary64) #s(literal 16 binary64)) #s(literal 12 binary64))
(+ 12 (* alpha (+ 16 (* alpha (+ 7 alpha)))))
(fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) alpha)))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (/ 16 (pow alpha 2)))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 7 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))))
(* (pow alpha 3) (+ 1 (+ (* 7 (/ 1 alpha)) (+ (* 12 (/ 1 (pow alpha 3))) (/ 16 (pow alpha 2))))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 #s(literal 7 binary64) alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) (/.f64 #s(literal 12 binary64) (*.f64 alpha (*.f64 alpha alpha)))))
(pow alpha 3)
(*.f64 alpha (*.f64 alpha alpha))
(* (pow alpha 3) (+ 1 (* 7 (/ 1 alpha))))
(*.f64 (*.f64 alpha (*.f64 alpha alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 7 binary64) alpha)))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (* 16 (/ 1 alpha))) alpha)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 16 binary64) alpha)) alpha)) (-.f64 #s(literal 0 binary64) (*.f64 alpha (*.f64 alpha alpha))))
(* -1 (* (pow alpha 3) (- (* -1 (/ (+ 7 (+ (* 16 (/ 1 alpha)) (/ 12 (pow alpha 2)))) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 alpha (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) (+.f64 #s(literal 7 binary64) (/.f64 #s(literal 12 binary64) (*.f64 alpha alpha)))) alpha))))
3
#s(literal 3 binary64)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
(+ 3 alpha)
(+.f64 #s(literal 3 binary64) alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
alpha
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)
(* alpha (+ 1 (* 3 (/ 1 alpha))))
(+.f64 #s(literal 3 binary64) alpha)

eval196.0ms (1.4%)

Memory
3.7MiB live, 356.8MiB allocated
Compiler

Compiled 40 331 to 3 834 computations (90.5% saved)

prune220.0ms (1.6%)

Memory
-30.4MiB live, 367.6MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 25691 265
Fresh61117
Picked235
Done011
Total1 264241 288
Accuracy
100.0%
Counts
1 288 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
42.3%
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
▶42.3%
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
51.7%
(pow.f64 beta #s(literal -2 binary64))
41.6%
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
72.6%
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
▶91.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
▶58.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
85.3%
(/.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))))
45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓53.7%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
35.5%
(/.f64 alpha (*.f64 beta beta))
56.5%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
57.3%
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
50.6%
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
✓50.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
▶5.4%
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
▶44.8%
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
44.4%
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
6.2%
(/.f64 #s(literal 1/4 binary64) beta)
53.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
✓42.1%
#s(literal 1/12 binary64)
Compiler

Compiled 459 to 331 computations (27.9% saved)

simplify491.0ms (3.6%)

Memory
4.9MiB live, 792.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓cost-diff384
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
✓cost-diff0
(+.f64 beta alpha)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (+.f64 beta alpha))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
✓cost-diff192
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 alpha alpha)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
✓cost-diff0
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓cost-diff128
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))
✓cost-diff320
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
Rules
16 714×accelerator-lowering-fma.f32
16 714×accelerator-lowering-fma.f64
3 434×+-lowering-+.f64
3 434×+-lowering-+.f32
2 884×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025107
154103
2111103
3270103
4743103
53146103
64532103
74738103
84838103
94913103
104948103
115506103
127827103
137951103
08003100
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))
(/ (+ 1 beta) (+ beta 2))
(+ 1 beta)
1
beta
(+ beta 2)
2
(* (+ beta 2) (+ 3 beta))
(+ 3 beta)
3
(+ (* alpha -1/36) 1/12)
alpha
-1/36
1/12
(/ 1 (* alpha alpha))
1
(* alpha alpha)
alpha
(/ 1/4 (+ (+ 1 (+ beta alpha)) 2))
1/4
(+ (+ 1 (+ beta alpha)) 2)
(+ 1 (+ beta alpha))
1
(+ beta alpha)
beta
alpha
2
(/ (/ (+ 1 alpha) beta) beta)
(/ (+ 1 alpha) beta)
(+ 1 alpha)
1
alpha
beta
Outputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (fma.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)) #s(literal 12 binary64)))
(/ (+ 1 beta) (+ beta 2))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
(+ beta 2)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ beta 2) (+ 3 beta))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))
(+ 3 beta)
(+.f64 beta #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (* alpha -1/36) 1/12)
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
alpha
-1/36
#s(literal -1/36 binary64)
1/12
#s(literal 1/12 binary64)
(/ 1 (* alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(* alpha alpha)
(*.f64 alpha alpha)
alpha
(/ 1/4 (+ (+ 1 (+ beta alpha)) 2))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) (+.f64 beta alpha)))
1/4
#s(literal 1/4 binary64)
(+ (+ 1 (+ beta alpha)) 2)
(+.f64 #s(literal 3 binary64) (+.f64 beta alpha))
(+ 1 (+ beta alpha))
(+.f64 beta (+.f64 #s(literal 1 binary64) alpha))
1
#s(literal 1 binary64)
(+ beta alpha)
(+.f64 beta alpha)
beta
alpha
2
#s(literal 2 binary64)
(/ (/ (+ 1 alpha) beta) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
beta

localize86.0ms (0.6%)

Memory
19.7MiB live, 205.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
✓accuracy100.0%
(+.f64 beta alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (+.f64 beta alpha))
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 alpha alpha)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
✓accuracy99.9%
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
✓accuracy98.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
Samples
58.0ms256×0valid
Compiler

Compiled 108 to 27 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 19.0ms (45.8% of total)
ival-div: 9.0ms (21.7% of total)
const: 8.0ms (19.3% of total)
ival-mult: 5.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
30.7MiB live, 30.7MiB allocated
Counts
14 → 240
Calls
Call 1
Inputs
#<alt (/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))>
#<alt (* (+ beta 2) (+ 3 beta))>
#<alt (/ (+ 1 beta) (+ beta 2))>
#<alt (+ 1 beta)>
#<alt (+ (* alpha -1/36) 1/12)>
#<alt (/ 1 (* alpha alpha))>
#<alt (* alpha alpha)>
#<alt (+ (+ 1 (+ beta alpha)) 2)>
#<alt (/ 1/4 (+ (+ 1 (+ beta alpha)) 2))>
#<alt (+ 1 (+ beta alpha))>
#<alt (+ beta alpha)>
#<alt (/ (/ (+ 1 alpha) beta) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (+ 1 alpha)>
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 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 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 1/12>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (+ 1/12 (* -1/36 alpha))>
#<alt (* -1/36 alpha)>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* alpha (- (* 1/12 (/ 1 alpha)) 1/36))>
#<alt (* -1/36 alpha)>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (/ 1 (pow alpha 2))>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (pow alpha 2)>
#<alt (+ 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 (/ 1/4 (+ 3 alpha))>
#<alt (+ (* -1/4 (/ beta (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* 1/4 (/ beta (pow (+ 3 alpha) 3))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (+ (* beta (- (* beta (+ (* -1/4 (/ beta (pow (+ 3 alpha) 4))) (* 1/4 (/ 1 (pow (+ 3 alpha) 3))))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))>
#<alt (/ 1/4 beta)>
#<alt (/ (+ 1/4 (* -1/4 (/ (+ 3 alpha) beta))) beta)>
#<alt (/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2)))) (* 1/4 (/ (+ 3 alpha) beta))) beta)>
#<alt (/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (* 1/4 (/ (+ 3 alpha) beta)))) beta)>
#<alt (/ 1/4 beta)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ 3 alpha) beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 2) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 3) beta)) (* 1/4 (pow (+ 3 alpha) 2))) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))>
#<alt (/ 1/4 (+ 3 beta))>
#<alt (+ (* -1/4 (/ alpha (pow (+ 3 beta) 2))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (+ (* alpha (- (* 1/4 (/ alpha (pow (+ 3 beta) 3))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (+ (* alpha (- (* alpha (+ (* -1/4 (/ alpha (pow (+ 3 beta) 4))) (* 1/4 (/ 1 (pow (+ 3 beta) 3))))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))>
#<alt (/ 1/4 alpha)>
#<alt (/ (+ 1/4 (* -1/4 (/ (+ 3 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2)))) (* 1/4 (/ (+ 3 beta) alpha))) alpha)>
#<alt (/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (* 1/4 (/ (+ 3 beta) alpha)))) alpha)>
#<alt (/ 1/4 alpha)>
#<alt (* -1 (/ (- (* 1/4 (/ (+ 3 beta) alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 2) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 3) alpha)) (* 1/4 (pow (+ 3 beta) 2))) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))>
#<alt (+ 1 alpha)>
#<alt (+ 1 (+ alpha beta))>
#<alt (+ 1 (+ alpha beta))>
#<alt (+ 1 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))>
#<alt (+ 1 beta)>
#<alt (+ 1 (+ alpha beta))>
#<alt (+ 1 (+ alpha beta))>
#<alt (+ 1 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (/ 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 beta)>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (+ (/ 1 beta) (/ alpha beta))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ alpha beta)>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<alt (/ (+ 1 alpha) beta)>
#<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)))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
alpha
@0
(+ (* alpha -1/36) 1/12)
0.0ms
alpha
@0
(/ 1 (* alpha alpha))
0.0ms
beta
@inf
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))
0.0ms
beta
@0
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))
0.0ms
beta
@inf
(* (+ beta 2) (+ 3 beta))

rewrite407.0ms (3%)

Memory
10.5MiB live, 756.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 512×/-lowering-/.f32
5 512×/-lowering-/.f64
3 498×*-lowering-*.f32
3 498×*-lowering-*.f64
2 584×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02584
118378
2158576
0812975
Stop Event
1×iter limit
1×node limit
Counts
14 → 648
Calls
Call 1
Inputs
(/ (/ (+ 1 beta) (+ beta 2)) (* (+ beta 2) (+ 3 beta)))
(* (+ beta 2) (+ 3 beta))
(/ (+ 1 beta) (+ beta 2))
(+ 1 beta)
(+ (* alpha -1/36) 1/12)
(/ 1 (* alpha alpha))
(* alpha alpha)
(+ (+ 1 (+ beta alpha)) 2)
(/ 1/4 (+ (+ 1 (+ beta alpha)) 2))
(+ 1 (+ beta alpha))
(+ beta alpha)
(/ (/ (+ 1 alpha) beta) beta)
(/ (+ 1 alpha) beta)
(+ 1 alpha)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 beta #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (+.f64 beta #s(literal 3 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta))))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.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 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) beta #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (fma.f64 beta (-.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) beta)) (/.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 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 1 binary64) (*.f64 beta beta))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) beta #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 3 binary64)))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (*.f64 beta (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (*.f64 beta (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) beta))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) alpha) beta))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) beta)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) alpha))) (neg.f64 (-.f64 #s(literal 0 binary64) beta)))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) (neg.f64 (*.f64 beta (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (neg.f64 (*.f64 beta (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 1 binary64) alpha))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) alpha) beta)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) beta))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) alpha)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta))))
(/.f64 (neg.f64 (*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) beta))) (neg.f64 (-.f64 #s(literal 1 binary64) alpha)))
(pow.f64 (/.f64 beta (+.f64 #s(literal 1 binary64) alpha)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) alpha))
(*.f64 (pow.f64 (/.f64 beta (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 beta (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)))
(*.f64 (/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))) beta))
(*.f64 (/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) beta) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) beta))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) beta) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) beta))
(+.f64 #s(literal 1 binary64) alpha)
(+.f64 alpha #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 alpha #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) alpha #s(literal 1 binary64))
(fma.f64 alpha #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha)) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha #s(literal 1 binary64)) (-.f64 (*.f64 alpha alpha) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) alpha))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64))) (neg.f64 (fma.f64 alpha alpha (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (neg.f64 (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (-.f64 (*.f64 alpha alpha) #s(literal 1 binary64)) (-.f64 alpha #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (*.f64 (-.f64 #s(literal 1 binary64) alpha) (*.f64 alpha alpha))) (*.f64 (-.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal 1 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) alpha))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) #s(literal 1 binary64))) (neg.f64 (-.f64 alpha #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (fma.f64 (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) alpha))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) alpha)) #s(literal -1 binary64))
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) alpha)))

simplify433.0ms (3.2%)

Memory
-37.1MiB live, 761.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 526×accelerator-lowering-fma.f32
9 526×accelerator-lowering-fma.f64
5 746×*-lowering-*.f32
5 746×*-lowering-*.f64
2 366×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241638
19541624
223461524
080041461
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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))
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)))))
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)))
1/12
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* -1/36 alpha))
(+ 1/12 (* -1/36 alpha))
(* -1/36 alpha)
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* alpha (- (* 1/12 (/ 1 alpha)) 1/36))
(* -1/36 alpha)
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
(* -1 (* alpha (- 1/36 (* 1/12 (/ 1 alpha)))))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(/ 1 (pow alpha 2))
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(pow alpha 2)
(+ 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)))
(/ 1/4 (+ 3 alpha))
(+ (* -1/4 (/ beta (pow (+ 3 alpha) 2))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* 1/4 (/ beta (pow (+ 3 alpha) 3))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(+ (* beta (- (* beta (+ (* -1/4 (/ beta (pow (+ 3 alpha) 4))) (* 1/4 (/ 1 (pow (+ 3 alpha) 3))))) (* 1/4 (/ 1 (pow (+ 3 alpha) 2))))) (* 1/4 (/ 1 (+ 3 alpha))))
(/ 1/4 beta)
(/ (+ 1/4 (* -1/4 (/ (+ 3 alpha) beta))) beta)
(/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2)))) (* 1/4 (/ (+ 3 alpha) beta))) beta)
(/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 alpha) 3) (pow beta 3)))) (+ (* -1/4 (/ (pow (+ 3 alpha) 2) (pow beta 2))) (* 1/4 (/ (+ 3 alpha) beta)))) beta)
(/ 1/4 beta)
(* -1 (/ (- (* 1/4 (/ (+ 3 alpha) beta)) 1/4) beta))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 2) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 alpha) 3) beta)) (* 1/4 (pow (+ 3 alpha) 2))) beta)) (* 1/4 (+ 3 alpha))) beta)) 1/4) beta))
(/ 1/4 (+ 3 beta))
(+ (* -1/4 (/ alpha (pow (+ 3 beta) 2))) (* 1/4 (/ 1 (+ 3 beta))))
(+ (* alpha (- (* 1/4 (/ alpha (pow (+ 3 beta) 3))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))
(+ (* alpha (- (* alpha (+ (* -1/4 (/ alpha (pow (+ 3 beta) 4))) (* 1/4 (/ 1 (pow (+ 3 beta) 3))))) (* 1/4 (/ 1 (pow (+ 3 beta) 2))))) (* 1/4 (/ 1 (+ 3 beta))))
(/ 1/4 alpha)
(/ (+ 1/4 (* -1/4 (/ (+ 3 beta) alpha))) alpha)
(/ (- (+ 1/4 (* 1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2)))) (* 1/4 (/ (+ 3 beta) alpha))) alpha)
(/ (- (+ 1/4 (* -1/4 (/ (pow (+ 3 beta) 3) (pow alpha 3)))) (+ (* -1/4 (/ (pow (+ 3 beta) 2) (pow alpha 2))) (* 1/4 (/ (+ 3 beta) alpha)))) alpha)
(/ 1/4 alpha)
(* -1 (/ (- (* 1/4 (/ (+ 3 beta) alpha)) 1/4) alpha))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 2) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ (pow (+ 3 beta) 3) alpha)) (* 1/4 (pow (+ 3 beta) 2))) alpha)) (* 1/4 (+ 3 beta))) alpha)) 1/4) alpha))
(+ 1 alpha)
(+ 1 (+ alpha beta))
(+ 1 (+ alpha beta))
(+ 1 (+ alpha beta))
beta
(* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))
(* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))
(* beta (+ 1 (+ (/ 1 beta) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 1 alpha) beta)) 1)))
(+ 1 beta)
(+ 1 (+ alpha beta))
(+ 1 (+ alpha beta))
(+ 1 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))
(* alpha (+ 1 (+ (/ 1 alpha) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 1 beta) alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
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)))
(/ 1 (pow beta 2))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (pow beta 2)))
(+ (/ 1 (pow beta 2)) (/ alpha (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))))
(/ 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))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ (+ 1 alpha) (pow beta 2))
(/ 1 beta)
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(+ (/ 1 beta) (/ alpha beta))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
(/ (+ 1 alpha) beta)
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)))
Outputs
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/36 beta))
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* -5/432 beta) 1/36)))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* beta (- (* beta (- (* 2/81 beta) 5/432)) 1/36)))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/ 1 (pow beta 2))
(/.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 6 binary64) (/.f64 #s(literal -26 binary64) beta)) 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 #s(literal 1 binary64) (*.f64 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 #s(literal 6 binary64) (/.f64 #s(literal -26 binary64) beta)) 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 (/.f64 #s(literal 98 binary64) beta) #s(literal -26 binary64)) beta)) beta)) (*.f64 beta beta))
6
#s(literal 6 binary64)
(+ 6 (* 5 beta))
(fma.f64 beta #s(literal 5 binary64) #s(literal 6 binary64))
(+ 6 (* beta (+ 5 beta)))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))
(+ 6 (* beta (+ 5 beta)))
(fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))
(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 (fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))) #s(literal 5 binary64)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
(*.f64 beta (fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))) #s(literal 5 binary64)))
(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 (fma.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 beta beta))) #s(literal 5 binary64)))
(* (pow beta 2) (+ 1 (+ (* 5 (/ 1 beta)) (/ 6 (pow beta 2)))))
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(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(/ alpha beta)
(/.f64 alpha beta)
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(* alpha (+ (/ 1 beta) (/ 1 (* alpha beta))))
(*.f64 (+.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 1 binary64) beta))
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
(/ (+ 1 alpha) beta)
(/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)
1
#s(literal 1 binary64)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
(+ 1 alpha)
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
alpha
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)
(* alpha (+ 1 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) alpha)

eval104.0ms (0.8%)

Memory
0.9MiB live, 227.6MiB allocated
Compiler

Compiled 16 369 to 2 304 computations (85.9% saved)

prune179.0ms (1.3%)

Memory
-8.9MiB live, 229.1MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New87810888
Fresh31215
Picked325
Done044
Total88428912
Accuracy
100.0%
Counts
912 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.6%
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
41.1%
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
42.4%
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
42.3%
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
✓42.3%
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
41.2%
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
51.7%
(pow.f64 beta #s(literal -2 binary64))
41.6%
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
91.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))
51.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
39.1%
(/.f64 (/.f64 alpha beta) beta)
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) beta) beta)
85.3%
(/.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))))
50.1%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
✓45.6%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
✓53.7%
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
35.5%
(/.f64 alpha (*.f64 beta beta))
56.5%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
57.3%
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
50.6%
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
✓50.5%
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
✓5.4%
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
44.4%
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
6.2%
(/.f64 #s(literal 1/4 binary64) beta)
53.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
4.7%
(*.f64 #s(literal -1/36 binary64) alpha)
✓42.1%
#s(literal 1/12 binary64)
Compiler

Compiled 957 to 364 computations (62% saved)

regimes49.0ms (0.4%)

Memory
27.0MiB live, 100.3MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.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 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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)))
(/.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 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.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 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64)))))))
(fma.f64 beta (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)) (/.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 16 binary64) (*.f64 alpha #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 3 binary64) alpha) (+.f64 #s(literal 3 binary64) alpha)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) alpha)))
(/.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 (fma.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta alpha) #s(literal -1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(pow.f64 beta #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) #s(literal -4 binary64))) (/.f64 (+.f64 alpha (-.f64 beta #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 alpha (-.f64 beta #s(literal 2 binary64)))))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

3 calls:

16.0ms
alpha
16.0ms
beta
13.0ms
(/.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
99.9%2alpha
99.9%2beta
99.9%2(/.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)

regimes18.0ms (0.1%)

Memory
-1.2MiB live, 36.8MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.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 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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)))
(/.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 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
Outputs
(/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.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) beta) beta)
Calls

1 calls:

14.0ms
beta
Results
AccuracySegmentsBranch
99.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory
-6.5MiB live, 52.0MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.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 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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)))
(/.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 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 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) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

2 calls:

18.0ms
beta
13.0ms
alpha
Results
AccuracySegmentsBranch
98.2%2alpha
99.7%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
-7.1MiB live, 29.8MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.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 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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)))
(/.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 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

1 calls:

19.0ms
beta
Results
AccuracySegmentsBranch
99.6%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.3%)

Memory
-10.6MiB live, 28.5MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.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 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 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)))
(/.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 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) beta)))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

1 calls:

36.0ms
beta
Results
AccuracySegmentsBranch
99.3%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-4.2MiB live, 32.0MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.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 #s(literal 3 binary64) beta))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 5 binary64))))
(/.f64 (fma.f64 (*.f64 beta beta) #s(literal -1/16 binary64) #s(literal 1/4 binary64)) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
Outputs
(/.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 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

1 calls:

12.0ms
beta
Results
AccuracySegmentsBranch
99.2%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 #s(literal 1 binary64) beta) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (+.f64 beta #s(literal 3 binary64))))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.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) beta) beta)
Calls

1 calls:

10.0ms
beta
Results
AccuracySegmentsBranch
99.2%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
-1.9MiB live, 39.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (fma.f64 alpha (fma.f64 alpha (+.f64 alpha #s(literal 7 binary64)) #s(literal 16 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (+.f64 #s(literal 1 binary64) alpha))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) beta)) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 (fma.f64 alpha (+.f64 alpha #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) alpha)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) beta #s(literal 1/2 binary64)) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.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 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64)))
Calls

2 calls:

13.0ms
beta
9.0ms
alpha
Results
AccuracySegmentsBranch
81.7%2alpha
97.4%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-16.4MiB live, 22.5MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta)
Calls

1 calls:

9.0ms
beta
Results
AccuracySegmentsBranch
97.3%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-12.0MiB live, 26.5MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

1 calls:

7.0ms
beta
Results
AccuracySegmentsBranch
96.0%3beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
20.8MiB live, 20.9MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #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 1 binary64) beta) beta)
Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
Calls

1 calls:

6.0ms
beta
Results
AccuracySegmentsBranch
92.5%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 alpha alpha))
Outputs
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta))
Calls

1 calls:

6.0ms
beta
Results
AccuracySegmentsBranch
92.2%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-24.5MiB live, 13.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
Outputs
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64))))
Calls

1 calls:

7.0ms
beta
Results
AccuracySegmentsBranch
88.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
Outputs
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
Calls

1 calls:

5.0ms
beta
Results
AccuracySegmentsBranch
88.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
12.6MiB live, 12.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
Outputs
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 beta beta))
Calls

1 calls:

5.0ms
beta
Results
AccuracySegmentsBranch
88.9%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
-22.3MiB live, 19.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))
Calls

2 calls:

19.0ms
beta
4.0ms
alpha
Results
AccuracySegmentsBranch
46.2%2alpha
44.4%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
Outputs
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
Calls

2 calls:

4.0ms
alpha
4.0ms
beta
Results
AccuracySegmentsBranch
44.4%1beta
44.4%1alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory
-23.3MiB live, 15.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
Outputs
(fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
Calls

2 calls:

28.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
42.3%1alpha
44.5%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
(/.f64 #s(literal 1 binary64) beta)
(fma.f64 alpha (fma.f64 alpha #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64))
Outputs
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(/.f64 #s(literal 1/4 binary64) beta)
Calls

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
44.4%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1/12 binary64)
(*.f64 #s(literal -1/36 binary64) alpha)
(fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
Outputs
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
Calls

1 calls:

2.0ms
beta
Results
AccuracySegmentsBranch
42.3%1beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.3MiB live, 12.3MiB allocated
Accuracy

Total -24.9b remaining (-67.2%)

Threshold costs -24.9b (-67.2%)

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

2 calls:

2.0ms
beta
2.0ms
alpha
Results
AccuracySegmentsBranch
42.1%1alpha
42.1%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.1%)

Memory
0.9MiB live, 39.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
114566610627278.84
120883973983689650.0
Samples
10.0ms128×0valid
Compiler

Compiled 352 to 203 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.2% of total)
ival-div: 2.0ms (30.1% of total)
ival-mult: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0%)

Memory
-25.0MiB live, 10.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
3.0ms
1.651272930889313e+85
1.1495517764399645e+100
Samples
2.0ms32×0valid
Compiler

Compiled 118 to 65 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (62.3% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Memory
5.2MiB live, 46.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
114566610627278.84
120883973983689650.0
Samples
13.0ms128×0valid
Compiler

Compiled 280 to 179 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50.9% of total)
ival-add: 3.0ms (30.5% of total)
ival-mult: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
114566610627278.84
120883973983689650.0
Samples
9.0ms128×0valid
Compiler

Compiled 296 to 187 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (47.2% of total)
ival-div: 2.0ms (31.5% of total)
ival-mult: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory
-12.8MiB live, 26.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
114566610627278.84
120883973983689650.0
Samples
27.0ms128×0valid
Compiler

Compiled 256 to 179 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 19.0ms (78.9% of total)
ival-add: 3.0ms (12.5% of total)
ival-div: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.3%)

Memory
-13.6MiB live, 23.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
114566610627278.84
120883973983689650.0
Samples
9.0ms128×0valid
Compiler

Compiled 264 to 171 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (47.3% of total)
ival-div: 2.0ms (31.5% of total)
ival-mult: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
34.2MiB live, 34.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
114566610627278.84
120883973983689650.0
Samples
9.0ms128×0valid
Compiler

Compiled 264 to 171 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (45.8% of total)
ival-div: 2.0ms (30.5% of total)
ival-mult: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
0.3MiB live, 39.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.023219697362362752
23.10733789517334
Samples
10.0ms128×0valid
Compiler

Compiled 232 to 171 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (43.7% of total)
ival-div: 2.0ms (29.1% of total)
ival-mult: 2.0ms (29.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
-23.6MiB live, 31.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.023219697362362752
23.10733789517334
Samples
16.0ms128×0valid
Compiler

Compiled 216 to 155 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 9.0ms (69.5% of total)
ival-div: 2.0ms (15.4% of total)
ival-mult: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory
-2.4MiB live, 72.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.034341289378131e+155
8.116416508128105e+156
16.0ms
0.023219697362362752
23.10733789517334
Samples
20.0ms240×0valid
Compiler

Compiled 342 to 239 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 7.0ms (48.2% of total)
ival-div: 4.0ms (27.5% of total)
ival-mult: 3.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
-7.9MiB live, 30.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.023219697362362752
23.10733789517334
Samples
11.0ms128×0valid
Compiler

Compiled 216 to 155 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.8% of total)
ival-add: 3.0ms (38.8% of total)
ival-mult: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.023219697362362752
23.10733789517334
Samples
9.0ms128×0valid
Compiler

Compiled 224 to 155 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (48.1% of total)
ival-div: 2.0ms (32.1% of total)
ival-mult: 1.0ms (16% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
-11.8MiB live, 29.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
0.023219697362362752
23.10733789517334
Samples
24.0ms128×0valid
Compiler

Compiled 224 to 163 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 17.0ms (80.3% of total)
ival-div: 2.0ms (9.4% of total)
ival-mult: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
-9.8MiB live, 29.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
0.023219697362362752
23.10733789517334
Samples
27.0ms128×0valid
Compiler

Compiled 208 to 147 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-add: 21.0ms (86.2% of total)
ival-div: 2.0ms (8.2% of total)
ival-mult: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
0.1MiB live, 38.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.023219697362362752
23.10733789517334
Samples
11.0ms128×0valid
Compiler

Compiled 184 to 131 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.7% of total)
ival-add: 3.0ms (39.7% of total)
ival-mult: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
-0.5MiB live, 37.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.7371338446624688e+113
7.781946816921982e+116
Samples
11.0ms128×0valid
Compiler

Compiled 168 to 123 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (52.5% of total)
ival-div: 2.0ms (26.3% of total)
ival-mult: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Memory
8.1MiB live, 47.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.023219697362362752
23.10733789517334
Samples
13.0ms128×0valid
Compiler

Compiled 168 to 123 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (46.1% of total)
ival-div: 2.0ms (30.7% of total)
ival-mult: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
-7.2MiB live, 31.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.023219697362362752
23.10733789517334
Samples
11.0ms128×0valid
Compiler

Compiled 144 to 107 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50.4% of total)
ival-add: 3.0ms (37.8% of total)
ival-mult: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
18×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125426
1149426
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 beta #s(literal 120000000000000000 binary64)) (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.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) beta) beta))
(if (<=.f64 beta #s(literal 40000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 24000000000000000 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 88000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 34000000000000000 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 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 1550000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.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) beta) beta))
(if (<=.f64 beta #s(literal 9/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 4278419646001971/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (if (<=.f64 beta #s(literal 210000000000000000316156057705213014380916983653530025709090816157024479563831971931800465022618840016180387518492974671392855822175379448197649364399685632 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 2589569785738035/1125899906842624 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4841369599423283/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 alpha #s(literal 279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(if (<=.f64 beta #s(literal 3512807709348987/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(if (<=.f64 beta #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
Outputs
(if (<=.f64 beta #s(literal 120000000000000000 binary64)) (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 120000000000000000 binary64)) (/.f64 (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (*.f64 (+.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) beta) beta))
(if (<=.f64 beta #s(literal 20000000000000000292613904613497460619400859757293101185572215743395927285022964318208 binary64)) (/.f64 (+.f64 alpha (fma.f64 (+.f64 alpha #s(literal 1 binary64)) beta #s(literal 1 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (+.f64 alpha (+.f64 beta #s(literal 3 binary64)))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 40000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 40000000000000000 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 alpha (+.f64 beta #s(literal 3 binary64))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 24000000000000000 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 24000000000000000 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha (+.f64 beta #s(literal 3 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 88000000000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 88000000000000000 binary64)) (/.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) (fma.f64 beta (+.f64 beta #s(literal 5 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 34000000000000000 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 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 34000000000000000 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 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 1550000000000000 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 (*.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) beta) beta))
(if (<=.f64 beta #s(literal 1550000000000000 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 3 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 9/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) (+.f64 beta #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 9/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) (+.f64 beta #s(literal 3 binary64))))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta) beta))
(if (<=.f64 beta #s(literal 6980579422424269/1125899906842624 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) beta))
(if (<=.f64 beta #s(literal 4278419646001971/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (if (<=.f64 beta #s(literal 210000000000000000316156057705213014380916983653530025709090816157024479563831971931800465022618840016180387518492974671392855822175379448197649364399685632 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 4278419646001971/562949953421312 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (if (<=.f64 beta #s(literal 210000000000000000316156057705213014380916983653530025709090816157024479563831971931800465022618840016180387518492974671392855822175379448197649364399685632 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 13/2 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 2589569785738035/1125899906842624 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) alpha) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 2589569785738035/1125899906842624 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 (+.f64 alpha #s(literal 1 binary64)) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 7656119366529843/4503599627370496 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 beta #s(literal 3 binary64)))))
(if (<=.f64 beta #s(literal 4841369599423283/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 2/81 binary64) #s(literal -5/432 binary64)) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 beta #s(literal 3715469692580659/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))
(if (<=.f64 alpha #s(literal 279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(if (<=.f64 alpha #s(literal 279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3 binary64) beta))
(/.f64 #s(literal 1/4 binary64) (+.f64 beta #s(literal 3 binary64)))
(if (<=.f64 beta #s(literal 3512807709348987/2251799813685248 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -5/432 binary64) #s(literal -1/36 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(if (<=.f64 beta #s(literal 5854679515581645/2251799813685248 binary64)) (fma.f64 #s(literal -1/36 binary64) beta #s(literal 1/12 binary64)) (/.f64 #s(literal 1/4 binary64) beta))
(fma.f64 alpha #s(literal -1/36 binary64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)

soundness1.5s (11.2%)

Memory
1.1MiB live, 1 603.4MiB allocated
Rules
9 526×accelerator-lowering-fma.f32
9 526×accelerator-lowering-fma.f64
7 140×+-lowering-+.f64
7 140×+-lowering-+.f32
6 772×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
1224108
22149106
08866103
035197
1292185
23157185
08100180
06765446
124055222
081364956
0134410405
145239996
082409653
05853090
118902960
258932892
082792764
03241638
19541624
223461524
080041461
01469
111161
2114961
0815758
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
Compiler

Compiled 1 769 to 998 computations (43.6% saved)

preprocess197.0ms (1.4%)

Memory
-23.4MiB live, 172.0MiB allocated
Compiler

Compiled 1 086 to 352 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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