Octave 3.8, jcobi/1

Time bar (total: 8.0s)

analyze3.0ms (0%)

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

Compiled 22 to 14 computations (36.4% saved)

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

sample1.3s (16.7%)

Results
584.0ms6055×0valid
329.0ms1835×1valid
130.0ms366×2valid
Precisions
Click to see histograms. Total time spent on operations: 660.0ms
ival-add: 198.0ms (30% of total)
ival-div: 169.0ms (25.6% of total)
ival-sub: 133.0ms (20.2% of total)
ival->: 85.0ms (12.9% of total)
backward-pass: 47.0ms (7.1% of total)
const: 18.0ms (2.7% of total)
ival-and: 10.0ms (1.5% of total)
Bogosity

preprocess205.0ms (2.6%)

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

Useful iterations: 7 (0.0ms)

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

explain150.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
760-0-(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
00-0-(-.f64 beta alpha)
00-0-(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
00-0-alpha
00-0-(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 alpha beta)
00-0-beta
Results
53.0ms364×0valid
45.0ms124×1valid
8.0ms24×2valid
Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 10.0ms (34.8% of total)
ival-div: 9.0ms (31.3% of total)
ival-sub: 5.0ms (17.4% of total)
backward-pass: 4.0ms (13.9% of total)
const: 1.0ms (3.5% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify179.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 7 (0.0ms)

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

localize47.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha beta)
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓accuracy72.6%
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
15.0ms182×0valid
13.0ms62×1valid
3.0ms12×2valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (34.2% of total)
ival-add: 5.0ms (34.2% of total)
ival-sub: 2.0ms (13.7% of total)
backward-pass: 2.0ms (13.7% of total)
const: 1.0ms (6.8% of total)

series12.0ms (0.2%)

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

36 calls:

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

rewrite350.0ms (4.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify300.0ms (3.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04332427
115182169
256322118
081502118
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (*.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 alpha #s(literal 2 binary64)) #s(literal -1/2 binary64))) beta)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta (*.f64 beta beta))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (+.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (+.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (*.f64 alpha #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
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(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
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2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
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(* -1 (/ alpha (+ 2 alpha)))
(/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(-.f64 (*.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha #s(literal 2 binary64))))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta beta)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
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1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
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-1
#s(literal -1 binary64)
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(-.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 1 binary64))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
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(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
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(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
(- beta alpha)
(-.f64 beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (* -1 (/ alpha beta))))
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
(* -1 (* beta (- (/ alpha beta) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 alpha beta)))
beta
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(+ beta (* -1 alpha))
(-.f64 beta alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* alpha (- (/ beta alpha) 1))
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha)))
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha))))
beta
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 beta alpha)))))
alpha
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
(+ alpha beta)
(+.f64 alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha beta))))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))

eval64.0ms (0.8%)

Compiler

Compiled 15556 to 2040 computations (86.9% saved)

prune72.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4729481
Fresh000
Picked011
Done000
Total47210482
Accuracy
100.0%
Counts
482 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶29.4%
(/.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal 2 binary64))
▶26.7%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶30.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
27.6%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
31.8%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶33.9%
#s(literal 1 binary64)
Compiler

Compiled 309 to 198 computations (35.9% saved)

simplify245.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))
✓cost-diff384
(+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta)))
✓cost-diff512
(/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
✓cost-diff512
(/.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓cost-diff256
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓cost-diff0
(-.f64 beta alpha)
✓cost-diff0
(/.f64 (-.f64 beta alpha) beta)
✓cost-diff128
(+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) beta)
✓cost-diff0
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓cost-diff0
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
Rules
3290×+-lowering-+.f64
3290×+-lowering-+.f32
2096×--lowering--.f32
2096×--lowering--.f64
1688×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031214
179206
2214198
3668192
42688188
56712188
08330188
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1
1
(/ (+ (/ (- beta alpha) beta) 1) 2)
(+ (/ (- beta alpha) beta) 1)
(/ (- beta alpha) beta)
(- beta alpha)
beta
alpha
1
2
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)
(/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha))
(+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta)))
(* beta (+ -1 (/ (+ 2 beta) alpha)))
beta
(+ -1 (/ (+ 2 beta) alpha))
-1
(/ (+ 2 beta) alpha)
(+ 2 beta)
2
alpha
(+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))
(/ (* (+ 2 beta) (+ 2 beta)) alpha)
(* (+ 2 beta) (+ 2 beta))
(- -2 beta)
-2
(- 0 alpha)
0
Outputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 beta #s(literal 2 binary64)))
beta
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(/ (+ (/ (- beta alpha) beta) 1) 2)
(-.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 beta #s(literal 2 binary64))))
(+ (/ (- beta alpha) beta) 1)
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(/ (- beta alpha) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
(- 2 (/ (+ 2 (* alpha 2)) beta))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha)) beta)
(+ 2 (* alpha 2))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) alpha))
(* alpha 2)
(*.f64 #s(literal 2 binary64) alpha)
alpha
beta
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) (*.f64 alpha #s(literal -2 binary64)))
(/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))))) alpha)
(+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta)))
(+.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))
(* beta (+ -1 (/ (+ 2 beta) alpha)))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
beta
(+ -1 (/ (+ 2 beta) alpha))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
-1
#s(literal -1 binary64)
(/ (+ 2 beta) alpha)
(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
alpha
(+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(/ (* (+ 2 beta) (+ 2 beta)) alpha)
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(* (+ 2 beta) (+ 2 beta))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
(- 0 alpha)
(-.f64 #s(literal 0 binary64) alpha)
0
#s(literal 0 binary64)

localize122.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
✓accuracy99.8%
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))
✓accuracy99.1%
(/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha))
✓accuracy98.5%
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 beta alpha)
✓accuracy100.0%
(+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (-.f64 beta alpha) beta)
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) beta)
✓accuracy100.0%
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
Results
78.0ms256×0valid
Compiler

Compiled 241 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 17.0ms (42.1% of total)
ival-add: 9.0ms (22.3% of total)
ival-sub: 7.0ms (17.3% of total)
ival-mult: 7.0ms (17.3% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.4%)

Counts
20 → 396
Calls
Call 1
Inputs
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (+ (/ (- beta alpha) beta) 1) 2)>
#<alt (+ (/ (- beta alpha) beta) 1)>
#<alt (/ (- beta alpha) beta)>
#<alt (- beta alpha)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)>
#<alt (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha))>
#<alt (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta)))>
#<alt (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))>
#<alt (* alpha 2)>
#<alt (/ (* (+ 2 beta) (+ 2 beta)) alpha)>
#<alt (* beta (+ -1 (/ (+ 2 beta) alpha)))>
#<alt (* (+ 2 beta) (+ 2 beta))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt (/ (+ beta (* -1/2 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (+ 1 (* -1/2 (/ alpha beta)))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))>
#<alt (* -1/2 (/ alpha beta))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))>
#<alt (* -1 (/ alpha beta))>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt (/ (- (* 2 beta) alpha) beta)>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt (/ (+ beta (* -1 alpha)) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ alpha beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* alpha (- (/ 1 alpha) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* 1/2 (- 2 (* 2 (/ 1 beta))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1/2 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (* -2 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* -2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (/ 2 beta)>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt 2>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))>
#<alt (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))>
#<alt (+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))>
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* 1/2 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))>
#<alt (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow alpha 2)))>
#<alt (/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (+ (* -1 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))>
#<alt (+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))>
#<alt (* -2 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -2 (/ (pow beta 2) (pow alpha 2)))>
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))) (/ 1 (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 4 (* (pow alpha 2) beta)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (/ 4 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (/ 4 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow alpha 2)))>
#<alt (/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))>
#<alt (* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))>
#<alt (* 2 (/ (pow beta 2) alpha))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 (- (* 2 (/ 1 alpha)) 1)) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 (- (* 2 (/ 1 alpha)) 1)) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))>
#<alt (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)>
#<alt (/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)>
#<alt (/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)>
#<alt (- (* -1 beta) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))>
#<alt (- (* -1 beta) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))>
#<alt (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (* 4 (/ 1 alpha)) 1))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) 2)>
#<alt (- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) 2)>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 4 (* alpha beta)))) (+ (/ 1 beta) (/ 2 (pow beta 2)))))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 4 (* alpha beta)))) (+ (/ 1 beta) (/ 2 (pow beta 2)))))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (+ (* -1 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)>
#<alt (* -1 (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (* -1 (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (/ 4 alpha)>
#<alt (+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))>
#<alt (+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))>
#<alt (* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (/ (pow (+ 2 beta) 2) alpha)>
#<alt (* beta (- (* 2 (/ 1 alpha)) 1))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))>
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (/ (pow beta 2) alpha)>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))>
#<alt (/ (* beta (+ 2 beta)) alpha)>
#<alt (/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)>
#<alt (/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)>
#<alt (/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)>
#<alt (* -1 beta)>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))>
#<alt (* -1 beta)>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))>
#<alt (+ (* -1 beta) (/ (* beta (+ 2 beta)) 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)))))>
Calls

99 calls:

TimeVariablePointExpression
4.0ms
alpha
@0
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
2.0ms
alpha
@inf
(- 2 (/ (+ 2 (* alpha 2)) beta))
1.0ms
alpha
@0
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)
1.0ms
beta
@-inf
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)
1.0ms
beta
@0
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)

rewrite438.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
3666×/-lowering-/.f32
3666×/-lowering-/.f64
2580×*-lowering-*.f32
2580×*-lowering-*.f64
2122×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031177
1262168
22808168
09466168
Stop Event
1×iter limit
1×node limit
Counts
20 → 683
Calls
Call 1
Inputs
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (+ (/ (- beta alpha) beta) 1) 2)
(+ (/ (- beta alpha) beta) 1)
(/ (- beta alpha) beta)
(- beta alpha)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(/ (/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha)) 2)
(/ (+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))) (- 0 alpha))
(+ (* beta (+ -1 (/ (+ 2 beta) alpha))) (+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta)))
(+ (/ (* (+ 2 beta) (+ 2 beta)) alpha) (- -2 beta))
(* alpha 2)
(/ (* (+ 2 beta) (+ 2 beta)) alpha)
(* beta (+ -1 (/ (+ 2 beta) alpha)))
(* (+ 2 beta) (+ 2 beta))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta))))
(/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta))) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) (-.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(*.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64)))
(neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) beta) (+.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)) beta))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (*.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta)) (neg.f64 (-.f64 #s(literal -2 binary64) beta)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta))) (neg.f64 (neg.f64 (-.f64 #s(literal -2 binary64) beta))))
(/.f64 (neg.f64 (*.f64 beta #s(literal 1 binary64))) (-.f64 #s(literal -2 binary64) beta))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -2 binary64) beta)))
(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))))
(*.f64 beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)))
(*.f64 (/.f64 beta (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(*.f64 (/.f64 beta (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta))
(+.f64 beta #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) beta)
(exp.f64 (*.f64 (log.f64 (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 beta beta) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (+.f64 (*.f64 beta beta) (-.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (neg.f64 (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (-.f64 (*.f64 beta beta) #s(literal 4 binary64)) (-.f64 beta #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) #s(literal 4 binary64))) (neg.f64 (-.f64 beta #s(literal 2 binary64))))
(pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) #s(literal -1 binary64))
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(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 8 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 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (+.f64 beta #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta))
(/.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal -2 binary64) beta)) (+.f64 beta #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 beta #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (*.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (-.f64 #s(literal 2 binary64) beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 8 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 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64)))) (*.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 beta (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (-.f64 #s(literal 2 binary64) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal -2 binary64) beta))) (neg.f64 (+.f64 beta #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))) (+.f64 beta #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (*.f64 (+.f64 beta #s(literal -2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal 4 binary64) (*.f64 beta beta)))) (neg.f64 (+.f64 beta #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal -2 binary64) beta))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))))
(pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
(*.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal -2 binary64))))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 (+.f64 beta #s(literal 2 binary64)))) (exp.f64 (log.f64 (+.f64 beta #s(literal 2 binary64)))))

simplify339.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
3860×*-lowering-*.f32
3860×*-lowering-*.f64
2234×+-lowering-+.f64
2234×+-lowering-+.f32
1284×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04224017
114103544
243523386
082083386
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
2
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
2
(- 2 (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* -1/2 (/ alpha beta))
(/ (+ beta (* -1/2 alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
1
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(+ 1 (* -1/2 (/ alpha beta)))
(* -1/2 (/ alpha beta))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(* -1/2 (/ alpha beta))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(* -1 (/ alpha beta))
(/ (- (* 2 beta) alpha) beta)
(/ (- (* 2 beta) alpha) beta)
(/ (- (* 2 beta) alpha) beta)
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
2
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(+ 2 (* -1 (/ alpha beta)))
(* -1 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(* -1 (/ alpha beta))
(/ (+ beta (* -1 alpha)) beta)
(/ (+ beta (* -1 alpha)) beta)
(/ (+ beta (* -1 alpha)) beta)
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
1
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(+ 1 (* -1 (/ alpha beta)))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 (* alpha (- (/ 1 beta) (/ 1 alpha))))
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* 1/2 (- 2 (* 2 (/ 1 beta))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(* -1 (/ alpha beta))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(* -2 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(/ 2 beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
2
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1/2 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(+ (* -1/2 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -1 (/ beta (pow alpha 2))) (* -1/2 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (+ (* -1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1/2 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (/ 1 (pow alpha 2))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* 1/2 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (+ (* -1/2 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (* 1/2 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) beta)) (/ 1 (pow alpha 2))))
(* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(/ (+ (* -1/2 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (+ (* -1/2 (- (* -1 beta) (+ 2 beta))) (* -1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(+ (* -1 (* beta (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))))) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)))
(+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(+ (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) (* beta (+ (* -2 (/ beta (pow alpha 2))) (* -1 (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha)))))))
(* -2 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (- (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (- (+ (* -1 (/ (- (* 4 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) (pow beta 2))) (* -1 (/ (- (* 6 (/ 1 (pow alpha 2))) (* 2 (/ 1 alpha))) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* -2 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) (* alpha beta))) (/ 1 (* alpha beta))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 4 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (/ 4 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (/ 1 alpha)) (* 4 (/ 1 (pow alpha 2))))) (/ 4 (* (pow alpha 2) beta))) (/ 2 (* alpha beta))) beta)) (* 2 (/ 1 (pow alpha 2)))))
(* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow alpha 2)))
(/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(/ (+ (* -1 (* alpha (- (* -1 beta) (+ 2 beta)))) (* -1 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) (pow alpha 2))
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (+ (* -1 (- (* -1 beta) (+ 2 beta))) (* -1 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 6 (/ 1 alpha)) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 2 (/ beta alpha)) (* 6 (/ 1 alpha))) 2))) 2)
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (/ 6 (* alpha beta))) (* 2 (/ 1 beta))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* (pow beta 2) (- (+ (* 2 (/ 1 alpha)) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 6 (* alpha beta)))) (+ (* 2 (/ 1 beta)) (/ 2 (pow beta 2)))))
(* 2 (/ (pow beta 2) alpha))
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (- (* 2 (/ 1 alpha)) 1))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 (- (* 2 (/ 1 alpha)) 1)) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (+ (* -1 (- (* 2 (/ 1 alpha)) 1)) (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta)))) (* 4 (/ 1 alpha))) beta)) (* 2 (/ 1 alpha))))
(/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha)
(/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)
(/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)
(/ (+ (* alpha (- (* -1 beta) (+ 2 beta))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha)
(- (* -1 beta) (+ 2 beta))
(- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))
(- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))
(- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta))
(- (* -1 beta) (+ 2 beta))
(- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))
(- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))
(- (+ (* -1 beta) (* -1 (/ (+ (* -1 (* beta (+ 2 beta))) (* -1 (pow (+ 2 beta) 2))) alpha))) (+ 2 beta))
(- (* 4 (/ 1 alpha)) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (* 4 (/ 1 alpha)) 1))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) 2)
(- (+ (* 4 (/ 1 alpha)) (* beta (- (+ (* 4 (/ 1 alpha)) (/ beta alpha)) 1))) 2)
(/ (pow beta 2) alpha)
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 4 (* alpha beta))) (/ 1 beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 4 (* alpha beta)))) (+ (/ 1 beta) (/ 2 (pow beta 2)))))
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 4 (/ 1 (* alpha (pow beta 2)))) (/ 4 (* alpha beta)))) (+ (/ 1 beta) (/ 2 (pow beta 2)))))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (* -1 (/ (- 1 (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 4 (/ 1 alpha)) 2) beta))) (* 4 (/ 1 alpha))) beta)) (/ 1 alpha)))
(/ (pow (+ 2 beta) 2) alpha)
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)
(/ (+ (* -1 (* alpha (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)
(* -1 (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(* -1 (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(/ 4 alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(/ (pow beta 2) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(* beta (- (* 2 (/ 1 alpha)) 1))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(/ (pow beta 2) alpha)
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(/ (pow beta 2) alpha)
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(/ (* beta (+ 2 beta)) alpha)
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(* -1 beta)
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(* -1 beta)
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) 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)))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal 1/4 binary64) (*.f64 beta (+.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 1/16 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) (/.f64 #s(literal -4 binary64) (*.f64 beta (*.f64 beta beta))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
(+.f64 #s(literal 1 binary64) (*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 binary64)))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta #s(literal 1/8 binary64))))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(*.f64 beta (+.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 #s(literal -1/4 binary64) (*.f64 beta (+.f64 #s(literal 1/8 binary64) (*.f64 beta #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 beta #s(literal 2 binary64))
(* -1/2 (/ alpha beta))
(/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta)
(/ (+ beta (* -1/2 alpha)) beta)
(/.f64 (+.f64 beta (*.f64 #s(literal -1/2 binary64) alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
(/.f64 (+.f64 beta (*.f64 #s(literal -1/2 binary64) alpha)) beta)
(/ (+ beta (* -1/2 alpha)) beta)
(/.f64 (+.f64 beta (*.f64 #s(literal -1/2 binary64) alpha)) beta)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(+ 1 (* -1/2 (/ alpha beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* -1/2 (/ alpha beta))
(/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta)
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* alpha (- (/ 1 alpha) (* 1/2 (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* -1/2 (/ alpha beta))
(/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta)
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* -1 (* alpha (- (* 1/2 (/ 1 beta)) (/ 1 alpha))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) beta))
(* -1 (/ alpha beta))
(/.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(/ (- (* 2 beta) alpha) beta)
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(/ (- (* 2 beta) alpha) beta)
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(/ (- (* 2 beta) alpha) beta)
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(+ 2 (* -1 (/ alpha beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(/.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (/ 1 beta)))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(/.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* -1 (* alpha (- (/ 1 beta) (* 2 (/ 1 alpha)))))
(-.f64 #s(literal 2 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(/.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(/ (+ beta (* -1 alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/ (+ beta (* -1 alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/ (+ beta (* -1 alpha)) beta)
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(+ 1 (* -1 (/ alpha beta)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(* -1 (/ alpha beta))
(/.f64 alpha (-.f64 #s(literal 0 binary64) beta))
(* alpha (- (/ 1 alpha) (/ 1 beta)))
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(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(* -1 (+ 2 beta))
(-.f64 #s(literal -2 binary64) beta)
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta))
(+.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (-.f64 #s(literal -2 binary64) beta))
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(+ (* 4 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 beta (/.f64 #s(literal 4 binary64) alpha)))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 beta (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))))
(+ (* beta (+ (* 4 (/ 1 alpha)) (/ beta alpha))) (* 4 (/ 1 alpha)))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) (*.f64 beta (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha))))
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(*.f64 beta (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta alpha))) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta alpha))) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(* (pow beta 2) (+ (/ 1 alpha) (* 4 (/ 1 (* alpha beta)))))
(*.f64 beta (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta alpha))) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(* (pow beta 2) (+ (/ 1 alpha) (+ (/ 4 (* alpha beta)) (/ 4 (* alpha (pow beta 2))))))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta alpha))) (/.f64 #s(literal 4 binary64) (*.f64 beta alpha)))))
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(/ (pow (+ 2 beta) 2) alpha)
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha)
(* beta (- (* 2 (/ 1 alpha)) 1))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(*.f64 beta (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(*.f64 beta (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))))
(* beta (- (+ (* 2 (/ 1 alpha)) (/ beta alpha)) 1))
(*.f64 beta (+.f64 (/.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))))
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(/ (pow beta 2) alpha)
(/.f64 (*.f64 beta beta) alpha)
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 2 (* alpha beta))) (/ 1 beta)))
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta)))
(/ (* beta (+ 2 beta)) alpha)
(*.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(/.f64 (*.f64 beta (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) alpha)
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(/.f64 (*.f64 beta (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) alpha)
(/ (+ (* -1 (* alpha beta)) (* beta (+ 2 beta))) alpha)
(/.f64 (*.f64 beta (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) alpha)
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(* -1 beta)
(-.f64 #s(literal 0 binary64) beta)
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
(+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha))
(*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))
4
#s(literal 4 binary64)
(+ 4 (* 4 beta))
(+.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))
(+ 4 (* beta (+ 4 beta)))
(+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64))))
(+ 4 (* beta (+ 4 beta)))
(+.f64 #s(literal 4 binary64) (*.f64 beta (+.f64 beta #s(literal 4 binary64))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(*.f64 beta (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(pow beta 2)
(*.f64 beta beta)
(* (pow beta 2) (+ 1 (* 4 (/ 1 beta))))
(*.f64 beta (*.f64 beta (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) beta))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta)))))
(* (pow beta 2) (+ 1 (+ (* 4 (/ 1 beta)) (/ 4 (pow beta 2)))))
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta beta)))))

eval182.0ms (2.3%)

Compiler

Compiled 33951 to 3861 computations (88.6% saved)

prune208.0ms (2.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New118281190
Fresh044
Picked325
Done011
Total1185151200
Accuracy
100.0%
Counts
1200 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.1%
(/.f64 (/.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 alpha alpha)) #s(literal 2 binary64))
▶22.2%
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
30.4%
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 2 binary64))
▶49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
27.6%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
31.8%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
6.8%
(/.f64 (*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) beta)))) #s(literal 2 binary64))
▶26.7%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
▶26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
46.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
✓33.9%
#s(literal 1 binary64)
▶49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 381 to 251 computations (34.1% saved)

simplify151.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -4 binary64) alpha)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) alpha)
✓cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
✓cost-diff0
(/.f64 #s(literal -1 binary64) beta)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓cost-diff0
(+.f64 alpha #s(literal 2 binary64))
✓cost-diff0
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
Rules
1972×fnmadd-define
1344×fmsub-define
1260×fnmsub-define
1256×fma-define
1200×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
02085
13785
25885
310984
421284
535484
659984
7114583
8173483
9232583
10390883
11455783
12633583
13683783
14742283
0800483
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
1
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
1/2
(+ 1 (/ -1 beta))
1
(/ -1 beta)
-1
beta
(+ 1 (/ (- -1 alpha) beta))
1
(/ (- -1 alpha) beta)
(- -1 alpha)
-1
alpha
beta
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)
(/ (+ 2 (/ -4 alpha)) alpha)
(+ 2 (/ -4 alpha))
2
(/ -4 alpha)
-4
alpha
Outputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal 2 binary64)))))
(- 1 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))
1
#s(literal 1 binary64)
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1 (/ -1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
-1
#s(literal -1 binary64)
beta
(+ 1 (/ (- -1 alpha) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
1
#s(literal 1 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
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 alpha #s(literal 2 binary64)))) alpha)
(/ (+ 2 (/ -4 alpha)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(+ 2 (/ -4 alpha))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
2
#s(literal 2 binary64)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
-4
#s(literal -4 binary64)
alpha

localize191.0ms (2.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) beta)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 alpha #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓accuracy67.7%
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
Results
116.0ms169×0valid
52.0ms87×1valid
Compiler

Compiled 88 to 21 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-sub: 84.0ms (68.8% of total)
ival-add: 17.0ms (13.9% of total)
ival-div: 16.0ms (13.1% of total)
backward-pass: 4.0ms (3.3% of total)
const: 1.0ms (0.8% of total)

series49.0ms (0.6%)

Counts
13 → 180
Calls
Call 1
Inputs
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (+ 1 (/ -1 beta))>
#<alt (/ -1 beta)>
#<alt (+ 1 (/ (- -1 alpha) beta))>
#<alt (/ (- -1 alpha) beta)>
#<alt (- -1 alpha)>
#<alt (/ (/ (+ 2 (/ -4 alpha)) alpha) 2)>
#<alt (/ (+ 2 (/ -4 alpha)) alpha)>
#<alt (+ 2 (/ -4 alpha))>
#<alt (/ -4 alpha)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>
#<alt 2>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt (+ 2 alpha)>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt alpha>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (/ -1 beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt (/ (- beta 1) beta)>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (- 1 (/ 1 beta))>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (/ -1 beta)>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt (/ (+ beta (* -1 (+ 1 alpha))) beta)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 alpha) beta)))>
#<alt (/ -1 beta)>
#<alt (- (* -1 (/ alpha beta)) (/ 1 beta))>
#<alt (- (* -1 (/ alpha beta)) (/ 1 beta))>
#<alt (- (* -1 (/ alpha beta)) (/ 1 beta))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt (* -1 (/ (+ 1 alpha) beta))>
#<alt -1>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (- (* -1 alpha) 1)>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (* -1 (* alpha (+ 1 (/ 1 alpha))))>
#<alt (/ -2 (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (/ -4 (pow alpha 2))>
#<alt (/ (- (* 2 alpha) 4) (pow alpha 2))>
#<alt (/ (- (* 2 alpha) 4) (pow alpha 2))>
#<alt (/ (- (* 2 alpha) 4) (pow alpha 2))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (/ -4 alpha)>
#<alt (/ (- (* 2 alpha) 4) alpha)>
#<alt (/ (- (* 2 alpha) 4) alpha)>
#<alt (/ (- (* 2 alpha) 4) alpha)>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt (- 2 (* 4 (/ 1 alpha)))>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
#<alt (/ -4 alpha)>
Calls

45 calls:

TimeVariablePointExpression
32.0ms
alpha
@0
(/ -4 alpha)
4.0ms
beta
@inf
(+ 1 (/ (- -1 alpha) beta))
0.0ms
alpha
@0
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)
0.0ms
alpha
@-inf
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)
0.0ms
alpha
@inf
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)

rewrite377.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
4560×/-lowering-/.f32
4560×/-lowering-/.f64
4458×*-lowering-*.f32
4458×*-lowering-*.f64
2058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971
114571
2131171
0845571
Stop Event
1×iter limit
1×node limit
Counts
13 → 440
Calls
Call 1
Inputs
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
(+ alpha 2)
(+ 1 (/ -1 beta))
(/ -1 beta)
(+ 1 (/ (- -1 alpha) beta))
(/ (- -1 alpha) beta)
(- -1 alpha)
(/ (/ (+ 2 (/ -4 alpha)) alpha) 2)
(/ (+ 2 (/ -4 alpha)) alpha)
(+ 2 (/ -4 alpha))
(/ -4 alpha)
Outputs
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) #s(literal 8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) #s(literal 8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(fma.f64 alpha (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))))
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(pow.f64 (/.f64 (*.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (/.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) (*.f64 alpha (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))) alpha))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (*.f64 alpha (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1 binary64)) alpha)
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))) alpha)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64))))))
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(+.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) alpha) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))))) (neg.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal 4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64)))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) alpha) #s(literal 2 binary64)) (/.f64 alpha #s(literal -4 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha #s(literal -4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 4 binary64) alpha))
(/.f64 #s(literal 1 binary64) (/.f64 alpha #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -4 binary64) alpha)
(/.f64 #s(literal -4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha))))
(pow.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 alpha #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal -4 binary64))

simplify269.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1990×*-lowering-*.f32
1990×*-lowering-*.f64
1608×fnmadd-define
1518×fma-lowering-fma.f32
1518×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571038
1496921
21218893
33459891
08358891
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(/ -1 beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
(/ (- beta 1) beta)
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
1
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(- 1 (/ 1 beta))
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(/ -1 beta)
(- 1 (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(* -1 (/ alpha beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(* -1 (/ (+ 1 alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
1
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(/ -1 beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(- (* -1 (/ alpha beta)) (/ 1 beta))
(- (* -1 (/ alpha beta)) (/ 1 beta))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
-1
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(- (* -1 alpha) 1)
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/ -4 (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/ -4 alpha)
(/ (- (* 2 alpha) 4) alpha)
(/ (- (* 2 alpha) 4) alpha)
(/ (- (* 2 alpha) 4) alpha)
2
(- 2 (* 4 (/ 1 alpha)))
(- 2 (* 4 (/ 1 alpha)))
(- 2 (* 4 (/ 1 alpha)))
2
(- 2 (* 4 (/ 1 alpha)))
(- 2 (* 4 (/ 1 alpha)))
(- 2 (* 4 (/ 1 alpha)))
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
(/ -4 alpha)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64)))))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha)) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(+.f64 #s(literal 1 binary64) (*.f64 alpha #s(literal -1/2 binary64)))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 #s(literal -1/2 binary64) (*.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/8 binary64)))))))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) alpha)) alpha)) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) alpha)) alpha)) alpha)
(* 1/2 alpha)
(*.f64 #s(literal 1/2 binary64) alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64))))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(*.f64 alpha (+.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha) #s(literal -2 binary64)) alpha))
2
#s(literal 2 binary64)
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+.f64 alpha #s(literal 2 binary64))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ (- beta 1) beta)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (/ alpha beta))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) beta)
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (/ alpha beta))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) beta)
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(/ (+ beta (* -1 (+ 1 alpha))) beta)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+ 1 (* -1 (/ (+ 1 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(/ -1 beta)
(/.f64 #s(literal -1 binary64) beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(- (* -1 (/ alpha beta)) (/ 1 beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ alpha beta))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ alpha beta))
(/.f64 (-.f64 #s(literal 0 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (* alpha (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
(* -1 (/ (+ 1 alpha) beta))
(/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)
-1
#s(literal -1 binary64)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(- (* -1 alpha) 1)
(-.f64 #s(literal -1 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 alpha)
(-.f64 #s(literal 0 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(* -1 (* alpha (+ 1 (/ 1 alpha))))
(-.f64 #s(literal -1 binary64) alpha)
(/ -2 (pow alpha 2))
(/.f64 #s(literal -2 binary64) (*.f64 alpha alpha))
(/ (- alpha 2) (pow alpha 2))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ (- alpha 2) (pow alpha 2))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ (- alpha 2) (pow alpha 2))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/ -4 (pow alpha 2))
(/.f64 #s(literal -4 binary64) (*.f64 alpha alpha))
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (* 2 alpha) 4) (pow alpha 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ (- (* 2 alpha) 4) alpha)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(/ (- (* 2 alpha) 4) alpha)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(/ (- (* 2 alpha) 4) alpha)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- 2 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)

eval73.0ms (0.9%)

Compiler

Compiled 9692 to 1551 computations (84% saved)

prune185.0ms (2.3%)

Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New6146620
Fresh347
Picked235
Done033
Total61916635
Accuracy
100.0%
Counts
635 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶22.2%
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
✓49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
▶23.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
▶31.8%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
6.8%
(/.f64 (*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) beta)))) #s(literal 2 binary64))
▶23.8%
(/.f64 #s(literal 1 binary64) alpha)
22.2%
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
30.4%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
✓26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
46.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
▶48.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓33.9%
#s(literal 1 binary64)
✓49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 278 to 206 computations (25.9% saved)

simplify156.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓cost-diff0
(/.f64 #s(literal -2 binary64) alpha)
✓cost-diff0
(-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
✓cost-diff0
(+.f64 #s(literal 1 binary64) beta)
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓cost-diff0
(/.f64 #s(literal 1 binary64) alpha)
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) alpha)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
Rules
2026×fnmsub-define
2026×fmsub-define
1832×fnmadd-define
1756×fmm-def
1712×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02183
13482
24182
34782
45782
57082
611282
719682
834382
965282
10123182
11244582
12333582
13422182
14720382
0824482
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* -1/4 alpha))
1/2
(* -1/4 alpha)
-1/4
alpha
(/ 1 alpha)
1
alpha
(/ (+ 1 beta) alpha)
(+ 1 beta)
1
beta
alpha
(/ (- (/ -2 alpha) -1) alpha)
(- (/ -2 alpha) -1)
(/ -2 alpha)
-2
alpha
-1
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
1
(/ (+ (/ 4 alpha) -2) alpha)
(+ (/ 4 alpha) -2)
(/ 4 alpha)
4
alpha
-2
Outputs
(+ 1/2 (* -1/4 alpha))
(-.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal 1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
-1/4
#s(literal -1/4 binary64)
alpha
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
1
#s(literal 1 binary64)
beta
alpha
(/ (- (/ -2 alpha) -1) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(- (/ -2 alpha) -1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
-2
#s(literal -2 binary64)
alpha
-1
#s(literal -1 binary64)
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
1
#s(literal 1 binary64)
(/ (+ (/ 4 alpha) -2) alpha)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(+ (/ 4 alpha) -2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
4
#s(literal 4 binary64)
alpha
-2
#s(literal -2 binary64)

localize78.0ms (1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) alpha)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64))
✓accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) beta)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) alpha)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) alpha)
Results
52.0ms256×0valid
Compiler

Compiled 87 to 22 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 12.0ms (43.6% of total)
ival-add: 8.0ms (29% of total)
ival-mult: 6.0ms (21.8% of total)
ival-sub: 1.0ms (3.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
12 → 156
Calls
Call 1
Inputs
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (+ 1 beta)>
#<alt (/ (- (/ -2 alpha) -1) alpha)>
#<alt (- (/ -2 alpha) -1)>
#<alt (/ -2 alpha)>
#<alt (/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)>
#<alt (+ 1 (/ (+ (/ 4 alpha) -2) alpha))>
#<alt (/ (+ (/ 4 alpha) -2) alpha)>
#<alt (+ (/ 4 alpha) -2)>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (* -1/4 alpha)>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* alpha (- (* 1/2 (/ 1 alpha)) 1/4))>
#<alt (* -1/4 alpha)>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (* -1/4 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (+ (/ 1 alpha) (/ beta alpha))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ beta alpha)>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt (/ (+ 1 beta) alpha)>
#<alt 1>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt (+ 1 beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt beta>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (* beta (+ 1 (/ 1 beta)))>
#<alt (/ -2 (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ (- alpha 2) (pow alpha 2))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (/ -2 alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt (/ (- alpha 2) alpha)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ -2 alpha)>
#<alt (/ 4 (pow alpha 3))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 3))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 2))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))>
#<alt (/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (/ 4 (pow alpha 2))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 2))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 2))>
#<alt (/ (+ 4 (* -2 alpha)) (pow alpha 2))>
#<alt (/ -2 alpha)>
#<alt (/ (- (* 4 (/ 1 alpha)) 2) alpha)>
#<alt (/ (- (* 4 (/ 1 alpha)) 2) alpha)>
#<alt (/ (- (* 4 (/ 1 alpha)) 2) alpha)>
#<alt (/ -2 alpha)>
#<alt (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))>
#<alt (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))>
#<alt (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))>
#<alt (/ 4 alpha)>
#<alt (/ (+ 4 (* -2 alpha)) alpha)>
#<alt (/ (+ 4 (* -2 alpha)) alpha)>
#<alt (/ (+ 4 (* -2 alpha)) alpha)>
#<alt -2>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt -2>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* 4 (/ 1 alpha)) 2)>
#<alt (- (* 4 (/ 1 alpha)) 2)>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
alpha
@inf
(/ (- (/ -2 alpha) -1) alpha)
0.0ms
alpha
@-inf
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
0.0ms
alpha
@-inf
(/ (- (/ -2 alpha) -1) alpha)
0.0ms
alpha
@inf
(/ (+ 1 beta) alpha)
0.0ms
alpha
@0
(/ (+ 1 beta) alpha)

rewrite357.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
4726×/-lowering-/.f32
4726×/-lowering-/.f64
3800×*-lowering-*.f32
3800×*-lowering-*.f64
1986×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02165
113564
2117564
0816864
Stop Event
1×iter limit
1×node limit
Counts
12 → 453
Calls
Call 1
Inputs
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(/ 1 alpha)
(/ (+ 1 beta) alpha)
(+ 1 beta)
(/ (- (/ -2 alpha) -1) alpha)
(- (/ -2 alpha) -1)
(/ -2 alpha)
(/ (+ 1 (/ (+ (/ 4 alpha) -2) alpha)) alpha)
(+ 1 (/ (+ (/ 4 alpha) -2) alpha))
(/ (+ (/ 4 alpha) -2) alpha)
(+ (/ 4 alpha) -2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))))
(-.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) alpha))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) alpha) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) alpha))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) alpha) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) alpha)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)) (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) alpha) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))) (/.f64 (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) alpha) (-.f64 (*.f64 #s(literal -1/4 binary64) alpha) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 alpha alpha) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) alpha))))
(*.f64 #s(literal -1/4 binary64) alpha)
(*.f64 alpha #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 alpha) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) alpha))
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha))))
(pow.f64 alpha #s(literal -1 binary64))
(pow.f64 (*.f64 alpha alpha) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64))
(pow.f64 (pow.f64 alpha #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 alpha)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) alpha))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))
(pow.f64 (/.f64 alpha (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
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(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) alpha))) (/.f64 #s(literal -1 binary64) alpha))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -8 binary64)) alpha) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal -4 binary64)) alpha) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) alpha))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)))))
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(*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)))))
(*.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 alpha alpha)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal 2 binary64))))

simplify288.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
2350×*-lowering-*.f32
2350×*-lowering-*.f64
1956×fnmadd-define
1656×fmsub-define
1582×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070780
1190711
2393711
3885690
43079690
08230690
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* -1/4 alpha))
(* -1/4 alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(* -1/4 alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(* -1/4 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(+ (/ 1 alpha) (/ beta alpha))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
(/ (+ 1 beta) alpha)
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/ -2 alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ -2 alpha)
(/ 4 (pow alpha 3))
(/ (+ 4 (* -2 alpha)) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(/ 4 (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/ -2 alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/ -2 alpha)
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(/ 4 alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
-2
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
(- (* 4 (/ 1 alpha)) 2)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* alpha (- (* 1/2 (/ 1 alpha)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1 (* alpha (- 1/4 (* 1/2 (/ 1 alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(* -1/4 alpha)
(*.f64 #s(literal -1/4 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+ (/ 1 alpha) (/ beta alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ 1 beta) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
1
#s(literal 1 binary64)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
(+ 1 beta)
(+.f64 #s(literal 1 binary64) beta)
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
beta
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(* beta (+ 1 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) beta)
(/ -2 (pow alpha 2))
(/.f64 (/.f64 #s(literal -2 binary64) alpha) alpha)
(/ (- alpha 2) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- alpha 2) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- alpha 2) (pow alpha 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ (- alpha 2) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ 4 (pow alpha 3))
(/.f64 #s(literal 4 binary64) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 4 (* -2 alpha)) (pow alpha 3))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) (*.f64 alpha alpha))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 3))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha (*.f64 alpha alpha)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)) alpha)
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha))
(/ (+ 4 (* alpha (- alpha 2))) (pow alpha 2))
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha (+.f64 alpha #s(literal -2 binary64)))) (*.f64 alpha alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(/ 4 (pow alpha 2))
(/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (+ 4 (* -2 alpha)) (pow alpha 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ (- (* 4 (/ 1 alpha)) 2) alpha)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ -2 alpha)
(/.f64 #s(literal -2 binary64) alpha)
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha)
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)
(/ (+ 4 (* -2 alpha)) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal -2 binary64))) alpha)
-2
#s(literal -2 binary64)
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
-2
#s(literal -2 binary64)
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))
(- (* 4 (/ 1 alpha)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha))

eval74.0ms (0.9%)

Compiler

Compiled 10396 to 1448 computations (86.1% saved)

prune73.0ms (0.9%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New6054609
Fresh145
Picked055
Done066
Total60619625
Accuracy
100.0%
Counts
625 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)
✓22.2%
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
✓49.9%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓72.6%
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓70.8%
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
30.2%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
✓23.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
✓31.8%
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
31.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha)
6.8%
(/.f64 (*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) beta)))) #s(literal 2 binary64))
10.9%
(/.f64 beta alpha)
22.2%
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
✓23.8%
(/.f64 #s(literal 1 binary64) alpha)
30.4%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
✓26.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
46.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
✓48.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
✓33.9%
#s(literal 1 binary64)
✓49.6%
#s(literal 1/2 binary64)
Compiler

Compiled 497 to 259 computations (47.9% saved)

regimes50.0ms (0.6%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -2 binary64) alpha)) beta)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 alpha alpha)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 #s(literal -2 binary64) beta))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
Outputs
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

5 calls:

9.0ms
beta
8.0ms
alpha
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.3%2alpha
72.6%1beta
100.0%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
100.0%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
100.0%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes22.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

3 calls:

7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
7.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.6%2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
99.6%2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) beta))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) alpha)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

7.0ms
alpha
Results
AccuracySegmentsBranch
94.2%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) alpha) beta))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) alpha) #s(literal -1 binary64)) alpha)
(/.f64 #s(literal 1/2 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha))))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
Calls

1 calls:

5.0ms
alpha
Results
AccuracySegmentsBranch
77.2%2alpha
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
alpha
3.0ms
beta
Results
AccuracySegmentsBranch
69.6%2beta
69.0%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
beta
Results
AccuracySegmentsBranch
69.3%2beta
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha))
(/.f64 #s(literal 1 binary64) alpha)
Calls

2 calls:

16.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
69.0%2alpha
68.6%2beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
alpha
2.0ms
beta
Results
AccuracySegmentsBranch
68.6%2beta
68.5%2alpha
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
beta
1.0ms
alpha
Results
AccuracySegmentsBranch
49.6%1alpha
49.6%1beta
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.999999954315418
-0.0008103132351383218
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999972728129
-0.999999954315418
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.0016219407503332488
43778443.87350073
Results
18.0ms160×0valid
Compiler

Compiled 220 to 164 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 10.0ms (73.7% of total)
ival-add: 2.0ms (14.7% of total)
ival-sub: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.0016219407503332488
43778443.87350073
Results
19.0ms160×0valid
Compiler

Compiled 180 to 144 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 12.0ms (79.7% of total)
ival-div: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.816585785846093
14.53241431733465
Results
6.0ms74×0valid
5.0ms38×1valid
Compiler

Compiled 132 to 112 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.5% of total)
ival-add: 2.0ms (33.5% of total)
ival-sub: 1.0ms (16.8% of total)
backward-pass: 1.0ms (16.8% of total)
const: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.816585785846093
14.53241431733465
Results
7.0ms47×1valid
5.0ms65×0valid
Compiler

Compiled 104 to 91 computations (12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31% of total)
ival-add: 2.0ms (31% of total)
ival-sub: 1.0ms (15.5% of total)
backward-pass: 1.0ms (15.5% of total)
const: 0.0ms (0% of total)

bsearch52.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
0.0016219407503332488
43778443.87350073
Results
45.0ms160×0valid
Compiler

Compiled 160 to 134 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.1% of total)
ival-add: 2.0ms (36.1% of total)
ival-sub: 1.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.816585785846093
14.53241431733465
Results
25.0ms39×1valid
5.0ms73×0valid
Compiler

Compiled 76 to 70 computations (7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
backward-pass: 21.0ms (80.5% of total)
ival-div: 2.0ms (7.7% of total)
ival-add: 2.0ms (7.7% of total)
ival-sub: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054149
176149
283149
387149
489149
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503599447226511/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 250 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8106479329266893/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) #s(literal 1 binary64))
(if (<=.f64 alpha #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4503599447226511/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4503599447226511/4503599627370496 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 250 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 250 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 alpha #s(literal 8106479329266893/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 8106479329266893/4503599627370496 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) beta)) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 alpha #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) alpha)) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness995.0ms (12.5%)

Rules
3860×*-lowering-*.f32
3860×*-lowering-*.f64
2810×+-lowering-+.f64
2810×+-lowering-+.f32
2660×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571038
1496921
21218893
33459891
08358891
04224017
114103544
243523386
082083386
04332427
115182169
256322118
081502118
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 325 to 189 computations (41.8% saved)

preprocess74.0ms (0.9%)

Compiler

Compiled 332 to 128 computations (61.4% saved)

end0.0ms (0%)

Profiling

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