3frac (problem 3.3.3)

Time bar (total: 6.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 20 to 16 computations (20% saved)

sample2.0s (32.7%)

Results
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms512valid
0.0ms256valid
0.0ms512valid
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0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms512valid
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0.0ms1024valid
0.0ms1024valid
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0.0ms256valid
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0.0ms256valid
0.0ms1024valid
0.0ms1024valid
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0.0ms256valid
0.0ms256valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms256valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms1024valid
0.0ms256valid
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0.0ms256valid
0.0ms512valid
0.0ms512valid
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0.0ms256valid
0.0ms1024valid
0.0ms256valid
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0.0ms256valid
0.0ms512valid
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0.0ms512valid
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0.0ms512valid
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0.0ms512valid
0.0ms512valid
0.0ms1024valid
0.0ms256valid
0.0ms1024valid
0.0ms512valid
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0.0ms1024valid
0.0ms1024valid
0.0ms512valid
0.0ms256valid
0.0ms256valid
56.0ms1024valid
0.0ms256valid
Bogosity

preprocess400.0ms (6.6%)

Algorithm
egg-herbie
Rules
622×fma-def
184×sub-neg
126×associate--r+
108×associate-+l-
96×fma-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-0-(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
00-0-x
00-0-(/.f64 1 (+.f64 x 1))
00-0-(/.f64 1 (-.f64 x 1))
00-0-(/.f64 2 x)
00-0-(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
00-0-(+.f64 x 1)
00-0-2
00-0-1
00-0-(-.f64 x 1)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024220
152210
2115208
3308208
4619208
51041208
61185208
71312208
81430208
91545208
101549208
111555208
121567208
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 (neg.f64 x) 1)) (/.f64 2 (neg.f64 x))) (/.f64 1 (-.f64 (neg.f64 x) 1)))
(neg.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 (neg.f64 x) 1)) (/.f64 2 (neg.f64 x))) (/.f64 1 (-.f64 (neg.f64 x) 1))))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 (neg.f64 x) 1)) (/.f64 2 (neg.f64 x))) (/.f64 1 (-.f64 (neg.f64 x) 1)))
(-.f64 (/.f64 1 (+.f64 1 (neg.f64 x))) (-.f64 (/.f64 2 (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 x) -1))))
(-.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (fma.f64 -1 x -1))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 -1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 2 x) (/.f64 1 (-.f64 -1 x))))
(neg.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 (neg.f64 x) 1)) (/.f64 2 (neg.f64 x))) (/.f64 1 (-.f64 (neg.f64 x) 1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Symmetry

(negabs x)

Compiler

Compiled 112 to 87 computations (22.3% saved)

eval1.0ms (0%)

Compiler

Compiled 61 to 49 computations (19.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
66.6%
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize196.0ms (3.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.9%
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
66.7%
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
100.0%
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
66.6%
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
Compiler

Compiled 98 to 76 computations (22.4% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
1.0ms
x
@inf
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
1.0ms
x
@0
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
0.0ms
x
@-inf
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
0.0ms
x
@inf
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))

rewrite300.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
922×log1p-expm1-u
492×expm1-udef
492×log1p-udef
202×frac-times
180×frac-add
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017172
1301172
25715172
Stop Event
node limit
Counts
4 → 267
Calls
Call 1
Inputs
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))
(-.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(*.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2)) (/.f64 1 (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))
(*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)) (/.f64 1 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (pow.f64 (+.f64 x 1) -2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2)) (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 x (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 x (*.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 -2 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))) (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)))) (*.f64 x (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))))
(/.f64 (+.f64 (*.f64 -2 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (*.f64 x (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)))) (*.f64 x (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) (*.f64 (*.f64 x -1/2) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (*.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (*.f64 x -1/2) (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)))) (*.f64 (*.f64 x -1/2) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))))
(/.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (*.f64 (*.f64 x -1/2) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)))) (*.f64 (*.f64 x -1/2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 (neg.f64 x) (+.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 (neg.f64 x) (*.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 2 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))) (*.f64 (neg.f64 x) (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))))
(/.f64 (+.f64 (*.f64 2 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (*.f64 (neg.f64 x) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)))) (*.f64 (neg.f64 x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) x) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) -2)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) x))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (*.f64 x -1/2)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) 1)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) (*.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (neg.f64 x)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) x) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) -2)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) x))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (*.f64 x -1/2)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) 1)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) (*.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (neg.f64 x)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) 2)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))) (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) x) (*.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) -2)) (*.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) x))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(fma.f64 -2 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))
(fma.f64 1 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (/.f64 1 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 -2 x))
(fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (/.f64 1 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 1)
(-.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 1 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))))
(*.f64 (fma.f64 -2 (+.f64 x -1) x) (/.f64 1 (-.f64 (pow.f64 x 2) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 -2 (+.f64 x -1) x)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (fma.f64 -2 (+.f64 x -1) x) (-.f64 (pow.f64 x 2) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 -2 (-.f64 1 x)) (neg.f64 x)) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (+.f64 x -1) (*.f64 (*.f64 x -1/2) 1)) (*.f64 (*.f64 x -1/2) (+.f64 x -1)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 2 (+.f64 x -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))
(/.f64 (+.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (+.f64 x -1)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1) 2)) (*.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) -2)) (*.f64 (-.f64 1 x) x))
(/.f64 (+.f64 (*.f64 -1 (*.f64 x -1/2)) (*.f64 (-.f64 1 x) 1)) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 -2 (+.f64 x -1) x)) (neg.f64 (-.f64 (pow.f64 x 2) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 4 (pow.f64 x 2))) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (/.f64 (fma.f64 -2 (+.f64 x -1) x) x) (+.f64 x -1))
(pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))

simplify262.0ms (4.3%)

Algorithm
egg-herbie
Rules
1234×div-sub
1102×fma-neg
758×fma-def
648×associate-/r*
624×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059427069
1169526283
2641526267
Stop Event
node limit
Counts
315 → 319
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))
(-.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(*.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 2))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2)) (/.f64 1 (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))
(*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2)) (/.f64 1 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))) (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3)) (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (-.f64 (pow.f64 (+.f64 x 1) -2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))))
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(/.f64 (+.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) x)) (*.f64 (+.f64 -1 (neg.f64 x)) (fma.f64 -2 (+.f64 x -1) x))) (*.f64 (+.f64 -1 (neg.f64 x)) (-.f64 (pow.f64 x 2) x)))
(/.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (+.f64 (*.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (*.f64 (+.f64 -1 (neg.f64 x)) (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)))) (*.f64 (+.f64 -1 (neg.f64 x)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 (fma.f64 -2 (+.f64 x -1) x) (+.f64 x 1)) (*.f64 (-.f64 (pow.f64 x 2) x) 1)) (*.f64 (-.f64 (pow.f64 x 2) x) (+.f64 x 1)))
(/.f64 (+.f64 (*.f64 (fma.f64 -2 (+.f64 x -1) x) (+.f64 -1 (neg.f64 x))) (*.f64 (-.f64 (pow.f64 x 2) x) -1)) (*.f64 (-.f64 (pow.f64 x 2) x) (+.f64 -1 (neg.f64 x))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 x 1)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) 1)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) (+.f64 x 1)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 -1 (neg.f64 x))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) -1)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) (+.f64 -1 (neg.f64 x))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (+.f64 x 1)) (*.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)) (*.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1)))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (+.f64 -1 (neg.f64 x))) (*.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) -1)) (*.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 -1 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) (pow.f64 (+.f64 x 1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) -2) (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (/.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (+.f64 x 1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))) (neg.f64 (-.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (*.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))) (neg.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2) (/.f64 4 (pow.f64 x 2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (pow.f64 (+.f64 x 1) -2)) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) (pow.f64 (+.f64 x -1) -2)) (-.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1))))
(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x 1))))))
(fma.f64 -2 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 -2 x))
(fma.f64 1 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (/.f64 1 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 -2 x))
(fma.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (/.f64 1 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 1)
(-.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 1 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))))
(*.f64 (fma.f64 -2 (+.f64 x -1) x) (/.f64 1 (-.f64 (pow.f64 x 2) x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(*.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 2) x) (fma.f64 -2 (+.f64 x -1) x)))
(/.f64 1 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (fma.f64 -2 (+.f64 x -1) x) (-.f64 (pow.f64 x 2) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 -2 (-.f64 1 x)) (neg.f64 x)) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (+.f64 x -1) (*.f64 (*.f64 x -1/2) 1)) (*.f64 (*.f64 x -1/2) (+.f64 x -1)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 2 (+.f64 x -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))
(/.f64 (+.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (+.f64 x -1)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1) 2)) (*.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) -2)) (*.f64 (-.f64 1 x) x))
(/.f64 (+.f64 (*.f64 -1 (*.f64 x -1/2)) (*.f64 (-.f64 1 x) 1)) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 -2 (+.f64 x -1) x)) (neg.f64 (-.f64 (pow.f64 x 2) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 4 (pow.f64 x 2))) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(/.f64 (/.f64 (fma.f64 -2 (+.f64 x -1) x) x) (+.f64 x -1))
(pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 5))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 5))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (+.f64 x (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
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(*.f64 (fma.f64 -2 (+.f64 x -1) x) (/.f64 1 (-.f64 (pow.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(*.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 -2 (-.f64 (pow.f64 x 2) x)))))
(*.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 x -1))))
(/.f64 (+.f64 (*.f64 -2 (-.f64 1 x)) (neg.f64 x)) (*.f64 x (-.f64 1 x)))
(/.f64 (/.f64 (fma.f64 -2 (-.f64 1 x) (neg.f64 x)) x) (-.f64 1 x))
(/.f64 (-.f64 (*.f64 -2 (-.f64 1 x)) x) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (+.f64 x -1) (*.f64 (*.f64 x -1/2) 1)) (*.f64 (*.f64 x -1/2) (+.f64 x -1)))
(/.f64 (fma.f64 x -1/2 (+.f64 x -1)) (*.f64 x (*.f64 -1/2 (+.f64 x -1))))
(/.f64 (+.f64 -1 (*.f64 x 1/2)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 x 1/2)) (*.f64 x (*.f64 -1/2 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x 1/2)) (*.f64 x (*.f64 -1/2 (-.f64 1 x))))
(/.f64 (+.f64 (*.f64 2 (+.f64 x -1)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))
(/.f64 (fma.f64 2 (+.f64 x -1) (neg.f64 x)) (*.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (-.f64 (fma.f64 x 2 -2) x) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 (fma.f64 2 (-.f64 1 x) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 (fma.f64 2 (-.f64 1 x) x) (-.f64 (pow.f64 x 2) x))
(/.f64 (+.f64 (*.f64 x -1/2) (+.f64 x -1)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))
(/.f64 (fma.f64 x -1/2 (+.f64 x -1)) (*.f64 x (*.f64 -1/2 (+.f64 x -1))))
(/.f64 (+.f64 -1 (*.f64 x 1/2)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (+.f64 x -1) 2)) (*.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (fma.f64 2 (+.f64 x -1) (neg.f64 x)) (*.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (-.f64 (fma.f64 x 2 -2) x) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) -2)) (*.f64 (-.f64 1 x) x))
(/.f64 (/.f64 (fma.f64 -2 (-.f64 1 x) (neg.f64 x)) x) (-.f64 1 x))
(/.f64 (-.f64 (*.f64 -2 (-.f64 1 x)) x) (*.f64 x (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 -1 (*.f64 x -1/2)) (*.f64 (-.f64 1 x) 1)) (*.f64 (-.f64 1 x) (*.f64 x -1/2)))
(/.f64 (+.f64 (-.f64 1 x) (*.f64 x 1/2)) (*.f64 x (*.f64 -1/2 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x 1/2)) (*.f64 x (*.f64 -1/2 (-.f64 1 x))))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (neg.f64 x)))
(/.f64 (fma.f64 2 (-.f64 1 x) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (-.f64 1 x)))
(/.f64 (fma.f64 2 (-.f64 1 x) x) (-.f64 (pow.f64 x 2) x))
(/.f64 (neg.f64 (fma.f64 -2 (+.f64 x -1) x)) (neg.f64 (-.f64 (pow.f64 x 2) x)))
(neg.f64 (/.f64 (fma.f64 -2 (+.f64 x -1) x) (neg.f64 (-.f64 (pow.f64 x 2) x))))
(/.f64 (neg.f64 (fma.f64 -2 (+.f64 x -1) x)) (*.f64 x (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 2)) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (-.f64 (pow.f64 x 2) x))))))
(/.f64 (-.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x -1) -3)) (-.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 2 (-.f64 (pow.f64 x 2) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 4 (pow.f64 x 2))) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(neg.f64 (/.f64 (-.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 (+.f64 x -1) -2)) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))
(/.f64 (/.f64 (fma.f64 -2 (+.f64 x -1) x) x) (+.f64 x -1))
(*.f64 (fma.f64 -2 (+.f64 x -1) x) (/.f64 1 (-.f64 (pow.f64 x 2) x)))
(/.f64 (fma.f64 -2 (+.f64 x -1) x) (-.f64 (pow.f64 x 2) x))
(pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 3)
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) 1/3)
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) 2)
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(log.f64 (exp.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 -2 x))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))

eval298.0ms (4.9%)

Compiler

Compiled 9169 to 7322 computations (20.1% saved)

prune52.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3118319
Fresh000
Picked022
Done000
Total31110321
Accuracy
99.1%
Counts
321 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.0%
(/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x))) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
20.0%
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) x) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) -2)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) x))
98.1%
(/.f64 2 (pow.f64 x 3))
4.9%
(/.f64 -2 x)
17.6%
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (*.f64 -2 (-.f64 1 x)) x) (*.f64 x (-.f64 1 x))))
66.7%
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
17.6%
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
65.0%
(+.f64 (/.f64 -2 x) (/.f64 2 x))
66.6%
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
16.0%
(+.f64 (/.f64 -2 x) (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 310 to 232 computations (25.2% saved)

localize714.0ms (11.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x)))
99.1%
(/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x))) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
5.0%
(fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x)))
98.6%
(/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))
66.6%
(+.f64 (/.f64 -2 x) (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
57.2%
(*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))
66.6%
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
55.4%
(/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1)))
99.1%
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 257 to 179 computations (30.4% saved)

series12.0ms (0.2%)

Counts
9 → 96
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x)))
1.0ms
x
@inf
(fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x)))
1.0ms
x
@0
(*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
1.0ms
x
@inf
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))

rewrite123.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
432×frac-times
276×log1p-expm1-u
276×expm1-log1p-u
274×add-cube-cbrt
270×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036470
1663430
Stop Event
node limit
Counts
9 → 326
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1)))
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
(*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x)))
(/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x))) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
(*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3)))) 1)
(*.f64 2 (pow.f64 x -3))
(*.f64 1 (*.f64 2 (pow.f64 x -3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))
(pow.f64 (*.f64 2 (pow.f64 x -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 x 3) 2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))))
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x x) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (+.f64 x x) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (+.f64 x -1)) (/.f64 (sqrt.f64 (+.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (+.f64 x -1)) (/.f64 (cbrt.f64 (+.f64 x x)) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (+.f64 x x)) (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x x)) (+.f64 x -1)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) 3) (pow.f64 (*.f64 x (+.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)))) (-.f64 (pow.f64 (*.f64 x (+.f64 x x)) 2) (*.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (+.f64 x x))))))
(pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 2))
(log.f64 (exp.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(exp.f64 (log.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))) 1)
(*.f64 1 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) x))
(*.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (/.f64 1 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 2) (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 1) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (+.f64 x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 x (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3) (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1)
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 x (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))

simplify181.0ms (3%)

Algorithm
egg-herbie
Rules
1366×times-frac
1088×associate-*r*
958×associate-*l*
624×fma-def
456×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071025791
1207923888
Stop Event
node limit
Counts
422 → 398
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 7)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 6)))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
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(/.f64 (+.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x 1)))
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(/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))
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(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 (+.f64 x x) (+.f64 x -1))) (neg.f64 (+.f64 x 1)))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) 1)) (neg.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))))
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(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x x)) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))
(exp.f64 (-.f64 (log.f64 (/.f64 (+.f64 x x) (+.f64 x -1))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 (+.f64 x x) (+.f64 x -1))) (log1p.f64 x)) 1))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))) 1)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))))
(fma.f64 1 (/.f64 2 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))
(fma.f64 1 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)) (/.f64 2 x))
(fma.f64 -2 (/.f64 -1 x) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))
(fma.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) (+.f64 x x) (/.f64 2 x))
(fma.f64 (+.f64 x x) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) (sqrt.f64 (/.f64 (/.f64 (+.f64 x x) (+.f64 x -1)) (+.f64 x 1))) (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))) 1)
(*.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -2)) (cbrt.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))))
(*.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -1/2) (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -1/2))
(*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 (+.f64 x -1) -1))
(*.f64 (pow.f64 (+.f64 x -1) -1) (/.f64 1 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1) (+.f64 x 1))) -1))
(pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -1)
(pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -1/2) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 1) -1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) -1))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1))))
(+.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (+.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))))) 1)
(*.f64 1 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) 3) (pow.f64 (*.f64 x (+.f64 x x)) 3)) (+.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)))) (-.f64 (pow.f64 (*.f64 x (+.f64 x x)) 2) (*.f64 (*.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 x (+.f64 x x))))))
(pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 2))
(log.f64 (exp.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))))))
(cbrt.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(exp.f64 (log.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))) 1)
(*.f64 1 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) x))
(*.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (/.f64 1 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 2) (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 1) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 x -1))) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (+.f64 x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 x (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 2)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3) (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1)
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 x (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (+.f64 x (pow.f64 x 3)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(*.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 7)))))
(fma.f64 -2 x (fma.f64 -2 (pow.f64 x 3) (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 7)))))
(*.f64 -2 (+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (pow.f64 x 7))))
(/.f64 2 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 x)))))
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(/.f64 -2 x)
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(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (*.f64 x (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))) 2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1) (fma.f64 x x x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) 2) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) (/.f64 (cbrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 x (+.f64 x -1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (+.f64 x 1)))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (*.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) x))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)) (/.f64 (sqrt.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 1)
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 3)
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3) 1/3)
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 2)
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(pow.f64 (/.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x)))) -1)
(/.f64 1 (/.f64 (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)) (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x x)) (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))) 2))
(fabs.f64 (/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x))))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) 3) (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3)))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(/.f64 (fma.f64 x (*.f64 2 x) (*.f64 (+.f64 x -1) (+.f64 (*.f64 2 x) 2))) (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (fma.f64 x 2 2) (*.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))) 1)
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 1)
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 3)
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3) 1/3)
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))) 2)
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)) 2))
(fabs.f64 (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 x (+.f64 x -1))))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))) 3))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (*.f64 x (+.f64 x -1)) 3)))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) 3) (pow.f64 x 3)))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) (pow.f64 (+.f64 x 1) 3)))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))))
(*.f64 (*.f64 x (+.f64 x -1)) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 x (+.f64 x -1)))))
(*.f64 (*.f64 x (+.f64 x -1)) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))
(*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (fma.f64 x x x))

eval187.0ms (3.1%)

Compiler

Compiled 10377 to 7301 computations (29.6% saved)

prune51.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3962398
Fresh213
Picked415
Done202
Total4044408
Accuracy
100.0%
Counts
408 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
4.9%
(/.f64 -2 x)
65.0%
(+.f64 (/.f64 -2 x) (/.f64 2 x))
98.9%
(*.f64 2 (pow.f64 x -3))
Compiler

Compiled 31 to 24 computations (22.6% saved)

localize330.0ms (5.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x)))
99.1%
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
Compiler

Compiled 69 to 46 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
0.0ms
x
@inf
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
0.0ms
x
@0
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))

rewrite84.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
796×log-prod
746×log1p-expm1-u
746×expm1-log1p-u
548×fma-def
412×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01544
118730
2273030
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
Outputs
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1)
(*.f64 -2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(*.f64 1 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(*.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) -2)
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) (log.f64 (exp.f64 -2)))
(*.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2)
(pow.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) -1)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Rules
1000×log-prod
990×associate-*r*
926×associate-*l*
754×fma-def
342×log-div
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261659
12991604
28981522
351911384
Stop Event
node limit
Counts
46 → 72
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1)
(*.f64 -2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(*.f64 1 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(*.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) -2)
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) (log.f64 (exp.f64 -2)))
(*.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2)
(pow.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) -1)
(pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) 1) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -2 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 9))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 0 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 x (fma.f64 x x -1))))) (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 x (fma.f64 x x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 x (fma.f64 x x -1)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (-.f64 (pow.f64 x 3) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 -2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 1 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) (log.f64 (exp.f64 1)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))
(/.f64 2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 2 x) (fma.f64 x x -1))
(/.f64 2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 2 (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) -2)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) (log.f64 (exp.f64 -2)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 -2 (+.f64 x 1)) (fma.f64 x x x))
(/.f64 -2 (*.f64 (fma.f64 x x x) (+.f64 x 1)))
(pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 1)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 3)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3) 1/3)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 2)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(pow.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) -1)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x)) 1) -1)
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 x (fma.f64 x x -1)) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (pow.f64 x 3) (neg.f64 x)) 2)))
(fabs.f64 (/.f64 -2 (-.f64 (pow.f64 x 3) x)))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x) 3))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)) 1) 1))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 3))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 1/3))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x))) 2))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) (/.f64 -2 x))) -1))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (fma.f64 x x -1)) x)))
(/.f64 -2 (*.f64 x (fma.f64 x x -1)))
(/.f64 (/.f64 -2 (fma.f64 x x -1)) x)
(/.f64 -2 (+.f64 (pow.f64 x 3) (neg.f64 x)))
(/.f64 -2 (-.f64 (pow.f64 x 3) x))

eval27.0ms (0.4%)

Compiler

Compiled 1286 to 966 computations (24.9% saved)

prune78.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh000
Picked033
Done011
Total994103
Accuracy
100.0%
Counts
103 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
4.9%
(/.f64 -2 x)
65.0%
(+.f64 (/.f64 -2 x) (/.f64 2 x))
98.9%
(*.f64 2 (pow.f64 x -3))
Compiler

Compiled 225 to 168 computations (25.3% saved)

regimes12.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 -2 x)
(+.f64 (/.f64 -2 x) (/.f64 2 x))
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -2 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 x) (/.f64 (+.f64 x (+.f64 0 x)) (*.f64 (+.f64 x -1) (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 (*.f64 -2 (-.f64 1 x)) x) (*.f64 x (-.f64 1 x))))
(+.f64 (/.f64 -2 x) (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 1 (*.f64 (+.f64 x 1) (+.f64 x -1)))))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 x 1) (+.f64 x -1)) x) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) -2)) (*.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) x))
(*.f64 2 (pow.f64 x -3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (fma.f64 2 (*.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (+.f64 x (+.f64 1 (+.f64 x -1))) (neg.f64 x))) (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
Outputs
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
Calls

2 calls:

8.0ms
x
3.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 -2 x)
(+.f64 (/.f64 -2 x) (/.f64 2 x))
Outputs
(+.f64 (/.f64 -2 x) (/.f64 2 x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
65.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 -2 x)
Outputs
(/.f64 -2 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
18×+-commutative
16×neg-mul-1
16×neg-sub0
14×sub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01979
13379
24579
36179
47579
58475
69275
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
(+.f64 (/.f64 -2 x) (/.f64 2 x))
(/.f64 -2 x)
Outputs
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (neg.f64 x))))
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 x (neg.f64 (+.f64 x -1)))))
(/.f64 -2 (*.f64 (+.f64 x 1) (*.f64 x (-.f64 (neg.f64 -1) x))))
(/.f64 -2 (*.f64 (*.f64 x (+.f64 x -1)) (-.f64 -1 x)))
(+.f64 (/.f64 -2 x) (/.f64 2 x))
(/.f64 -2 x)
Compiler

Compiled 24 to 18 computations (25% saved)

soundness613.0ms (10.2%)

Rules
1234×div-sub
1102×fma-neg
922×log1p-expm1-u
758×fma-def
648×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
152210
2115208
3308208
4619208
51041208
61185208
71312208
81430208
91545208
101549208
111555208
121567208
017172
1301172
25715172
059427069
1169526283
2641526267
Stop Event
node limit
node limit
saturated
Compiler

Compiled 876 to 649 computations (25.9% saved)

end0.0ms (0%)

preprocess47.0ms (0.8%)

Compiler

Compiled 192 to 144 computations (25% saved)

Profiling

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