Details

Time bar (total: 3.8s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (30.7%)

Results
630.0ms5765×body256valid
398.0ms2056×body512valid
124.0ms435×body1024valid
Bogosity

preprocess12.0ms (0.3%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
34×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11831
22331
33231
44231
56031
611131
714931
819331
923331
1025731
1125931
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify25.0ms (0.7%)

Algorithm
egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
34×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11831
22331
33231
44231
56031
611131
714931
819331
923331
1025731
1125931
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

eval1.0ms (0%)

Compiler

Compiled 34 to 28 computations (17.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
16.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
16.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 1 (+.f64 x 1))
2.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite107.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1418×associate-/r*
1102×associate-/r/
976×*-commutative
778×distribute-lft-in
734×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0957
121257
2309553
Stop Event
node limit
Counts
3 → 248
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x 1))
Outputs
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simplify135.0ms (3.6%)

Algorithm
egg-herbie
Rules
832×*-commutative
828×distribute-lft-in
738×distribute-rgt-in
608×associate-/r*
602×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068314636
1225913626
Stop Event
node limit
Counts
284 → 503
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
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(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (fma.f64 x x -1))) (-.f64 x 1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (-.f64 x 1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(pow.f64 (-.f64 x 1) -1)
(pow.f64 (/.f64 1 (-.f64 x 1)) 1)
(pow.f64 (pow.f64 (-.f64 x 1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1))) 3)
(pow.f64 (pow.f64 (-.f64 x 1) -3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x 1)))))
(cbrt.f64 (pow.f64 (-.f64 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (*.f64 (+.f64 1 (pow.f64 x 4)) 2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(fma.f64 x x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 x x)))
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) -1)
(neg.f64 (fma.f64 x x (+.f64 x 1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(+.f64 -1 (-.f64 (-.f64 (neg.f64 x) (*.f64 x x)) (pow.f64 x 3)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x))) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (*.f64 2 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 (+.f64 x -1)) (*.f64 2 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1))) (*.f64 2 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
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(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (/.f64 1 (fma.f64 x x -1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) x))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1)))) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (-.f64 x 1)))
(/.f64 1 (+.f64 x -1))
(*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (-.f64 x 1)) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (-.f64 x 1) -1/2) (pow.f64 (-.f64 x 1) -1/2))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (-.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 1 (-.f64 1 x)) -1)
(/.f64 -1 (-.f64 1 x))
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (fma.f64 x x (+.f64 1 x)) (/.f64 1 (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (/.f64 1 (cbrt.f64 (-.f64 x 1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 3))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x 1)) -1) (pow.f64 (sqrt.f64 (-.f64 x 1)) -1))
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x 1)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 3))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (fma.f64 x x -1)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (fma.f64 x x -1)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 -1 x))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 1 x))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (pow.f64 (pow.f64 x 3) 3) 1)) (+.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 (pow.f64 (pow.f64 x 3) 3) -1)) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (+.f64 1 (pow.f64 x 3)) (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) (/.f64 (+.f64 x 1) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) x (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (fma.f64 x x -1))) (-.f64 x 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)) (*.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x -1) (*.f64 (+.f64 x -1) (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 x 1) (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (-.f64 x 1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 x 1))) (/.f64 (+.f64 x 1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 x 1) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 x 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 x 1)))) (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 6)))))
(pow.f64 (-.f64 x 1) -1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (-.f64 x 1)) 1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 x 1) -1/2) 2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 3))
(pow.f64 (pow.f64 (-.f64 x 1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(sqrt.f64 (pow.f64 (-.f64 x 1) -2))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))
(/.f64 1 (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x 1)))))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (-.f64 x 1) -3))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (-.f64 x 1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))
(/.f64 1 (+.f64 x -1))

eval226.0ms (5.9%)

Compiler

Compiled 12259 to 9360 computations (23.6% saved)

prune83.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4976503
Fresh000
Picked101
Done000
Total4986504
Error
0.2b
Counts
504 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
14.5b
(/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))
30.8b
(/.f64 -2 (*.f64 x x))
32.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
32.8b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
32.8b
2
Compiler

Compiled 106 to 78 computations (26.4% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 x x))
0.0b
(/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))
1.5b
(-.f64 (+.f64 2 x) x)
Compiler

Compiled 31 to 17 computations (45.2% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1552×associate-*l/
1344×associate-/r*
1250×associate-/l*
1052×*-commutative
248×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01057
123633
2364033
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(-.f64 (+.f64 2 x) x)
(/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))
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simplify73.0ms (1.9%)

Algorithm
egg-herbie
Rules
946×fma-def
936×associate-*r/
924×associate-/r/
666×*-commutative
596×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02773975
17313413
228023383
Stop Event
node limit
Counts
143 → 182
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
2
(+.f64 (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(+.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))))
(-.f64 (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 (*.f64 x x))))
(*.f64 1 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))) 1)
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 2) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 4) (*.f64 (cbrt.f64 2) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 2 (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 2)
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (/.f64 2 (-.f64 1 (pow.f64 x 6))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (*.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 2) (/.f64 1 (-.f64 1 (*.f64 x x)))) (sqrt.f64 2))
(*.f64 (*.f64 (cbrt.f64 2) (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 4))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 2 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 x x))) -2)
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 2) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 2) 1))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 (cbrt.f64 4) 1) (/.f64 (cbrt.f64 2) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 2) (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 4) 1))
(*.f64 (/.f64 (cbrt.f64 4) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 4) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (/.f64 8 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(pow.f64 (-.f64 1/2 (/.f64 x (/.f64 2 x))) -1)
(neg.f64 (/.f64 2 (+.f64 -1 (*.f64 x x))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(log.f64 (exp.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (/.f64 8 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (*.f64 x x))) 1)
(*.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (*.f64 x x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (*.f64 x x)) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) 1) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) 1) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (pow.f64 x 6)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(+.f64 2 (*.f64 (fma.f64 x x (pow.f64 x 4)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
2
(+.f64 (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))) (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(+.f64 (neg.f64 (/.f64 x (-.f64 1 (*.f64 x x)))) (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(-.f64 (/.f64 (+.f64 2 x) (-.f64 1 (*.f64 x x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))))) 1)
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(*.f64 2 (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(*.f64 1 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 2 (neg.f64 (fma.f64 x x -1)))
(*.f64 (/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x))) 1)
(/.f64 (+.f64 2 (-.f64 x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (-.f64 1 (*.f64 x x)))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) 1) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) 1) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 (*.f64 x x) (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1))) 2) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (pow.f64 x 4)))
(/.f64 (-.f64 1 (pow.f64 x 8)) (/.f64 (+.f64 (pow.f64 x 4) 1) (/.f64 1 (+.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 8)) (fma.f64 x x 1)) (+.f64 (pow.f64 x 4) 1))
(/.f64 (-.f64 1 (pow.f64 x 8)) (*.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))) (/.f64 1 (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (pow.f64 x 8))) (fma.f64 x x 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 12)) (fma.f64 x x 1)) (+.f64 (pow.f64 x 4) (+.f64 1 (pow.f64 x 8))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 12)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (+.f64 (pow.f64 x 6) 1))
(/.f64 (-.f64 1 (pow.f64 x 12)) (*.f64 (+.f64 (pow.f64 x 6) 1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 (pow.f64 x 6) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (pow.f64 x 6)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (/.f64 (+.f64 (pow.f64 x 6) (+.f64 1 (pow.f64 x 12))) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 6) (+.f64 1 (pow.f64 x 12))) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (*.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) (+.f64 1 (pow.f64 x 12)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1200×add-sqr-sqrt
1176×*-un-lft-identity
1120×pow1
1102×add-cube-cbrt
1094×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2156513
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))))

simplify48.0ms (1.3%)

Algorithm
egg-herbie
Rules
1438×distribute-lft-in
1402×associate-/r*
966×associate-+r+
942×associate-+l+
878×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057485
1134485
2448485
32622485
Stop Event
node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) -2)
(*.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 x x) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) -1/2) -1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
0.0b
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite82.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1622×associate-*l/
848×*-commutative
674×distribute-lft-in
670×associate-/r*
638×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
119025
2280425
Stop Event
node limit
Counts
1 → 142
Calls
Call 1
Inputs
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
Outputs
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simplify118.0ms (3.1%)

Algorithm
egg-herbie
Rules
1354×associate-+r-
1136×associate--r+
780×associate--l+
558×fma-def
466×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040510184
112919606
259249598
Stop Event
node limit
Counts
154 → 257
Calls
Call 1
Inputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))))
(+.f64 1 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (+.f64 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (+.f64 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (+.f64 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
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(+.f64 1 (+.f64 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (+.f64 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
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(+.f64 1 (+.f64 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (*.f64 1 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x)))))
(+.f64 1 (*.f64 1 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1)))))
(+.f64 1 (*.f64 1 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1))))))
(+.f64 1 (*.f64 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x))) 1))
(+.f64 1 (*.f64 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))) 1))
(+.f64 1 (*.f64 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))) 1))
(+.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))))
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(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
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(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 1 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) 1))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) 1))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) 1))
(+.f64 (neg.f64 x) (+.f64 1 (/.f64 1 (-.f64 1 x))))
(+.f64 (neg.f64 x) (-.f64 1 (/.f64 1 (-.f64 x 1))))
(+.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 x))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (-.f64 1 x) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (-.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1)))))
(+.f64 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x))) 1)
(+.f64 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))) 1)
(+.f64 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))) 1)
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (-.f64 x 1))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 x 1) -1/2)) (pow.f64 (-.f64 x 1) -1/2) (/.f64 1 (-.f64 x 1))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1)))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (-.f64 x 1))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) 1) (neg.f64 x))
(+.f64 (-.f64 (-.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))) 1)
(*.f64 1 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(*.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 1)
(*.f64 (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(*.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2) (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 x 1) -1/2)) (-.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 x 1) -1/2)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 x 1) -1/2)) (+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 x 1) -1/2)))
(*.f64 (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (+.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))))) (fma.f64 x x -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) -1))) (*.f64 (-.f64 1 x) (+.f64 1 x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (+.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 -1 (+.f64 1 (fma.f64 x x x))))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1)))))) (-.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (/.f64 (-.f64 1 x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1))) 3))) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1))) (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1)))) (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 (-.f64 1 x) (-.f64 x 1)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (*.f64 x x)))
(/.f64 1 (/.f64 1 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (/.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (/.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))) (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))) (/.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 x (/.f64 1 (-.f64 x 1))))) (+.f64 1 (+.f64 x (/.f64 1 (-.f64 x 1)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (*.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (*.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) 3)) (+.f64 1 (+.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (*.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 x (/.f64 1 (-.f64 x 1)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (-.f64 x 1) -2) 3)) (*.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 x 1) -3) 3)) (*.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))))
(/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (fma.f64 x x -1))
(/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) -1)) (*.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 x 1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 -1 (+.f64 1 (fma.f64 x x x)))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (neg.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (neg.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 x (/.f64 1 (-.f64 x 1))))) 1) (+.f64 1 (+.f64 x (/.f64 1 (-.f64 x 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 1 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) 3)) 1) (+.f64 1 (+.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (*.f64 (+.f64 x (/.f64 1 (-.f64 x 1))) (+.f64 x (/.f64 1 (-.f64 x 1)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1) (fma.f64 x x -1))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) -1)) 1) (*.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) 1) (*.f64 (-.f64 x 1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 -1 (+.f64 1 (fma.f64 x x x)))) 1) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) 1) (neg.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) 1) (neg.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (-.f64 x 1) -2) 3)) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 x 1) -3) 3)) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) 1) (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) 1) (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1) (fma.f64 x x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (+.f64 1 x)) (-.f64 x 1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) -1)) (+.f64 1 x)) (-.f64 1 x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (fma.f64 x x x))) (-.f64 x 1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 -1 (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 x))
(pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 1)
(pow.f64 (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 3)
(pow.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 2))
(log.f64 (exp.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))))
(cbrt.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 3))
(expm1.f64 (log.f64 (+.f64 (-.f64 2 x) (/.f64 1 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(fma.f64 1 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
Outputs
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 2 (+.f64 (pow.f64 x 3) (*.f64 x x)))
(+.f64 2 (fma.f64 x x (pow.f64 x 3)))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(+.f64 2 (+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (*.f64 x x)))
(+.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 3)) (pow.f64 x 4)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (-.f64 1 x) (/.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 (-.f64 x 1))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(+.f64 1 (neg.f64 (+.f64 x (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2)))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) -2))) (/.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) -2))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))) (/.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2)))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1)))))) (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) -2))) (/.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (+.f64 x -1) -2))) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))) (/.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2)))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) 2)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1))))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 4) (/.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 x -1))) (*.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (-.f64 x 1) -2) 3)) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 (pow.f64 (-.f64 x 1) -3) (-.f64 x 1))) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (+.f64 x -1) -2) 3)) (*.f64 (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))) (+.f64 (pow.f64 (-.f64 1 x) 4) (+.f64 (/.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 x -1)) (*.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (pow.f64 (+.f64 x -1) -2) 3)) (+.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))) (fma.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 (-.f64 1 x) 4) (/.f64 (pow.f64 (+.f64 x -1) -3) (+.f64 x -1)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (+.f64 x -1) -6)) (*.f64 (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (+.f64 x -1) -6)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1))))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (-.f64 x 1) -3) 3)) (/.f64 1 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (+.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (-.f64 x 1) -3))) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (+.f64 x -1) -3) 3)) (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2)))) (+.f64 (+.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (+.f64 x -1) -6)) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (+.f64 x -1) -3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1)))) (fma.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3) (+.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (+.f64 x -1) -6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) 1) (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) 1) (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) 1) (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2))))) (sqrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) 1) (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 x 1) -3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))) (cbrt.f64 (+.f64 (/.f64 (-.f64 1 x) (-.f64 x 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 x 1) -2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) 1) (+.f64 (/.f64 (-.f64 1 x) (+.f64 x -1)) (+.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1) (fma.f64 x x -1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 x 1))) (fma.f64 x x -1))
(/.f64 (-.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) -1) x) (fma.f64 x x -1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (-.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (+.f64 1 x)) (-.f64 x 1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 x 1))) (fma.f64 x x -1))
(/.f64 (-.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) -1) x) (fma.f64 x x -1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (-.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 x 1))) (fma.f64 x x -1))
(/.f64 (-.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) -1) x) (fma.f64 x x -1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (-.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (neg.f64 (+.f64 x 1))) (fma.f64 x x -1))
(/.f64 (-.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) -1) x) (fma.f64 x x -1))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x)) (-.f64 -1 x)) (fma.f64 x x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) -1)) (+.f64 1 x)) (-.f64 1 x))
(/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (*.f64 -1 (+.f64 x 1))) (*.f64 (-.f64 1 x) (+.f64 x 1)))
(-.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) (/.f64 -1 (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 x 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (fma.f64 x x x))) (-.f64 x 1))
(/.f64 (-.f64 (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))) -1) (+.f64 x -1))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (*.f64 -1 (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 x))
(/.f64 (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (neg.f64 (+.f64 1 (fma.f64 x x x)))) (*.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(-.f64 (*.f64 1 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x)))) (/.f64 -1 (-.f64 1 x)))
(pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 1)
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (sqrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 2)
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (cbrt.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))) 3)
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(pow.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 3) 1/3)
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 2))
(sqrt.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))) 2))
(fabs.f64 (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))
(log.f64 (exp.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(cbrt.f64 (pow.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) 3))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(expm1.f64 (log.f64 (+.f64 (-.f64 2 x) (/.f64 1 (-.f64 1 x)))))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (-.f64 2 x))))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 1 (-.f64 1 x)) x))))
(exp.f64 (log.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))))
(-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1)))
(fma.f64 1 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 24 to 18 computations (25% saved)

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))
0.0b
(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
1.5b
(+.f64 x (-.f64 -2 x))
Compiler

Compiled 41 to 28 computations (31.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite91.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1558×associate-/l/
1412×distribute-lft-in
310×+-commutative
292×add-sqr-sqrt
282×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01275
128475
2415275
Stop Event
node limit
Counts
3 → 151
Calls
Call 1
Inputs
(+.f64 x (-.f64 -2 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))))))

simplify95.0ms (2.5%)

Algorithm
egg-herbie
Rules
1130×associate-+r+
952×associate-+l+
856×+-commutative
542×associate-*l*
538×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04425053
113484649
253184649
Stop Event
node limit
Counts
187 → 248
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 -2 (-.f64 x x))
(-.f64 (-.f64 -1 x) (-.f64 1 x))
(-.f64 (+.f64 x -2) x)
(-.f64 (+.f64 x 1) (-.f64 1 (-.f64 -2 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 (-.f64 -1 x) x))) 1)
(-.f64 (/.f64 4 (+.f64 x -2)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x -2)) x))
(-.f64 (/.f64 -8 (+.f64 4 (*.f64 x (+.f64 x -2)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 x -2)))) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (-.f64 x -2))) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 x (-.f64 x -2))))
(-.f64 (+.f64 x (-.f64 -1 x)) 1)
(-.f64 (+.f64 x (/.f64 4 (+.f64 x -2))) (/.f64 (*.f64 x x) (+.f64 x -2)))
(-.f64 (+.f64 x (/.f64 -8 (+.f64 4 (*.f64 x (+.f64 x -2))))) (/.f64 (pow.f64 x 3) (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (+.f64 (-.f64 -2 x) (+.f64 x 1)) 1)
(-.f64 (+.f64 (+.f64 x -2) 0) x)
(*.f64 (+.f64 x (-.f64 -2 x)) 1)
(*.f64 1 (+.f64 x (-.f64 -2 x)))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -2 x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 x (-.f64 x -2))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x))))))
(/.f64 (+.f64 x (-.f64 -2 x)) 1)
(/.f64 1 (/.f64 (+.f64 x (-.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 x (-.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)))))
(/.f64 1 (*.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (-.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (+.f64 x (-.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (*.f64 1 (neg.f64 (+.f64 x (-.f64 x -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (*.f64 1 (neg.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (-.f64 -2 x) 3) (pow.f64 (-.f64 -2 x) 3))) (*.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (-.f64 -2 (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (*.f64 1 (-.f64 -2 (+.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 -2 x) 2) (pow.f64 (-.f64 -2 x) 2))) (*.f64 (+.f64 x (-.f64 x -2)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 x -2) (+.f64 x -2)) (*.f64 x x)) (+.f64 -2 (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x -2) (+.f64 x -2)) (*.f64 x x)) (*.f64 1 (+.f64 -2 (+.f64 x x))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 -2 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (-.f64 -2 x) (-.f64 -2 (+.f64 x x)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (-.f64 -2 x) 3) (pow.f64 (-.f64 -2 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (-.f64 -2 x) 2) 3)) (*.f64 (+.f64 x (-.f64 x -2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (-.f64 -2 x) 2) (pow.f64 (-.f64 -2 x) 2)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x -2) (+.f64 x -2)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x -2) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -2) 3) (pow.f64 x 3)) (*.f64 1 (+.f64 (*.f64 (+.f64 x -2) (+.f64 x -2)) (+.f64 (*.f64 x x) (*.f64 (+.f64 x -2) x)))))
(pow.f64 (+.f64 x (-.f64 -2 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 -2 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3))
(expm1.f64 (log.f64 (+.f64 (-.f64 -1 x) x)))
(exp.f64 (log.f64 (+.f64 x (-.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 -2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -2 x))))
(fma.f64 1 x (-.f64 -2 x))
(fma.f64 1 (-.f64 -2 x) x)
(fma.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -2 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -2 x))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) x) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) 1))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) 1) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) 1) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) 1))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)))) 1)
(-.f64 (/.f64 (+.f64 x -2) (*.f64 (-.f64 -1 x) (-.f64 1 x))) (/.f64 x (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(*.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (-.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (/.f64 1 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 2 (-.f64 x x)) (-.f64 -1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 -1 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (-.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (*.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (/.f64 1 (-.f64 -1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)) 3) 1/3)
(pow.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 -1 x) (+.f64 x (-.f64 -2 x)))) -1)
(neg.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (+.f64 x -1) (-.f64 -1 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(exp.f64 (-.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)) (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) x) (*.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 -2 x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 -2 x)) (*.f64 (/.f64 1 (-.f64 -1 x)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) -2) (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x -2)) (*.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) -1))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) -1) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x x (neg.f64 x))) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (+.f64 x -2) (-.f64 -1 x)) (/.f64 x (-.f64 -1 x)))
(*.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 1)
(*.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 x (-.f64 -2 x)))
(*.f64 (+.f64 2 (-.f64 x x)) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (-.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (sqrt.f64 (-.f64 -1 x))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 x (-.f64 -2 x))) -1)
(neg.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 x -2))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 -2 (+.f64 x (pow.f64 x 3))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(/.f64 -2 (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(/.f64 -2 (-.f64 -1 x))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 x)))
(/.f64 2 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (-.f64 x x))) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 2) (log1p.f64 x)))
(/.f64 2 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))))
(/.f64 -2 (-.f64 -1 x))

eval373.0ms (9.8%)

Compiler

Compiled 20227 to 14976 computations (26% saved)

prune177.0ms (4.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9296935
Fresh011
Picked101
Done314
Total9338941
Error
0b
Counts
941 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(/.f64 2 (-.f64 1 (*.f64 x x)))
30.8b
(/.f64 -2 (*.f64 x x))
57.5b
(-.f64 1 x)
33.3b
(+.f64 2 (*.f64 x x))
30.6b
(*.f64 (pow.f64 x -2) -2)
30.7b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
62.0b
(neg.f64 x)
32.8b
2
Compiler

Compiled 78 to 58 computations (25.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 x x))
0.2b
(/.f64 2 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1666×add-sqr-sqrt
1638×*-un-lft-identity
1536×add-cube-cbrt
1526×add-cbrt-cube
164×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117319
2215919
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 (*.f64 x x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))))))

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Rules
1710×associate-*r/
1328×associate-*r*
1096×associate-*l*
1046×associate-+r+
910×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093956
1249918
2940904
34614904
Stop Event
node limit
Counts
36 → 63
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 2 (/.f64 1 (-.f64 1 (*.f64 x x))))
(*.f64 1 (/.f64 2 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 2)
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (-.f64 1/2 (/.f64 (*.f64 x x) 2)) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(+.f64 2 (*.f64 (fma.f64 x x (pow.f64 x 4)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (pow.f64 x 6) (fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 8))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))) 1)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 2 (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 1 (/.f64 2 (-.f64 1 (*.f64 x x))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 2)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 2 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2) (-.f64 1 (pow.f64 x 6)))
(pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 1)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 2)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 3)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3) 1/3)
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(pow.f64 (-.f64 1/2 (/.f64 (*.f64 x x) 2)) -1)
(/.f64 1 (-.f64 1/2 (/.f64 x (/.f64 2 x))))
(/.f64 1 (-.f64 1/2 (*.f64 (/.f64 x 2) x)))
(/.f64 1 (-.f64 1/2 (*.f64 x (/.f64 x 2))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(sqrt.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 (*.f64 x x) -1)) 2))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x))))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) 3))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))) 1))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 (*.f64 x x)))))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(/.f64 -2 (+.f64 (*.f64 x x) -1))

localize2.0ms (0.1%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize2.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1514×add-sqr-sqrt
1490×*-un-lft-identity
1394×add-cube-cbrt
1376×add-cbrt-cube
1364×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117013
2199413
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))))))

simplify57.0ms (1.5%)

Algorithm
egg-herbie
Rules
1208×associate-*r*
1066×associate-*l*
872×associate-+r+
828×associate-+l+
730×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093628
1210628
2721628
35219628
Stop Event
node limit
Counts
48 → 37
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -2 (/.f64 x (/.f64 1 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 1 (/.f64 x (/.f64 -2 x)))
(/.f64 1 (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 (*.f64 x x) -2))
(/.f64 1 (*.f64 (*.f64 x -1/2) x))
(/.f64 (/.f64 1 x) (*.f64 x -1/2))
(/.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))
(/.f64 2 (*.f64 x (neg.f64 x)))
(/.f64 2 (*.f64 (neg.f64 x) x))
(/.f64 2 (neg.f64 (*.f64 x x)))
(/.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))
(/.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 -2 x) 1) x)
(/.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))
(pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (/.f64 x (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 -2 x)))
(/.f64 -2 (*.f64 x x))
(/.f64 1 (*.f64 x (*.f64 x -1/2)))
(/.f64 -2 (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) -2))
(/.f64 -2 (*.f64 x x))
(/.f64 1 (*.f64 (*.f64 x -1/2) x))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 1 x) (*.f64 x -1/2))
(/.f64 -2 (*.f64 x x))
(/.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.f64 -2 (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))
(/.f64 -2 (*.f64 x x))
(/.f64 2 (*.f64 x (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(/.f64 2 (*.f64 (neg.f64 x) x))
(/.f64 -2 (*.f64 x x))
(/.f64 2 (neg.f64 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(/.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.f64 -2 (*.f64 x x))
(/.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 -2 x) 1) x)
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -2 (*.f64 x x))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 1)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 2))
(/.f64 -2 (*.f64 x x))
(log.f64 (exp.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(/.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x)) 3))
(/.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(/.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(/.f64 -2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))) 1))
(/.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 x) (/.f64 1 x))))
(/.f64 -2 (*.f64 x x))

eval53.0ms (1.4%)

Compiler

Compiled 2780 to 1984 computations (28.6% saved)

prune26.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1901191
Fresh022
Picked101
Done055
Total1918199
Error
0b
Counts
199 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(/.f64 (/.f64 -2 x) x)
0.2b
(/.f64 2 (-.f64 1 (*.f64 x x)))
30.8b
(/.f64 -2 (*.f64 x x))
57.5b
(-.f64 1 x)
33.3b
(+.f64 2 (*.f64 x x))
30.6b
(*.f64 (pow.f64 x -2) -2)
62.0b
(neg.f64 x)
32.8b
2
Compiler

Compiled 41 to 30 computations (26.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (pow.f64 x -2) -2)
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (pow.f64 x -2) -2)
0.0ms
x
@inf
(*.f64 (pow.f64 x -2) -2)
0.0ms
x
@-inf
(*.f64 (pow.f64 x -2) -2)

rewrite51.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1122×add-sqr-sqrt
1098×*-un-lft-identity
1044×pow1
1028×add-cube-cbrt
1018×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112613
2144413
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) -2)))))))

simplify41.0ms (1.1%)

Algorithm
egg-herbie
Rules
1302×distribute-rgt-in
1282×distribute-lft-in
998×log-prod
928×associate-*r/
806×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039299
195299
2338299
31802299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x -2) -2)) 1)
(pow.f64 (*.f64 (pow.f64 x -2) -2) 1)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -2)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x -4) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) -2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) -2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) -2)))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x -2) -2)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 x -2) -2) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) -2)) 3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 x -4) 4))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) -2) 3))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1380×add-sqr-sqrt
1356×*-un-lft-identity
1276×add-cube-cbrt
1262×add-cbrt-cube
1250×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2171513
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 -2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 x) x)))))))

simplify50.0ms (1.3%)

Algorithm
egg-herbie
Rules
1524×associate-+r+
1364×associate-+l+
828×distribute-rgt-in
820×distribute-lft-in
746×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097744
1253726
2886726
33785726
Stop Event
node limit
Counts
48 → 42
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (/.f64 -2 x) x)) 1)
(*.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 -2 (/.f64 1 (*.f64 x x)))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 -2 x) x) 1)
(*.f64 1 (/.f64 (/.f64 -2 x) x))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))
(pow.f64 (/.f64 (/.f64 -2 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 -2 x)) -1)
(neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 x) x)))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 (/.f64 -2 x) x)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 1 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -2 x) x) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 -2 x) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2))
(/.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 -2 x) x)))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (/.f64 -2 x) x) 1)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 -2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 x) x)) 3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 -2 x)) -1)
(/.f64 -2 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 2))
(/.f64 -2 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 x) x) 3))
(/.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 x) x)) 1))
(/.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 x) x)))
(/.f64 -2 (*.f64 x x))

eval13.0ms (0.3%)

Compiler

Compiled 522 to 379 computations (27.4% saved)

prune9.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done066
Total56864
Error
0b
Counts
64 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(/.f64 (/.f64 -2 x) x)
0.2b
(/.f64 2 (-.f64 1 (*.f64 x x)))
30.8b
(/.f64 -2 (*.f64 x x))
57.5b
(-.f64 1 x)
33.3b
(+.f64 2 (*.f64 x x))
30.6b
(*.f64 (pow.f64 x -2) -2)
62.0b
(neg.f64 x)
32.8b
2
Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes15.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 (*.f64 x x))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 (-.f64 (+.f64 2 x) x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
(*.f64 (pow.f64 x -2) -2)
Outputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
Calls

2 calls:

8.0ms
x
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 108 to 75 computations (30.6% saved)

regimes16.0ms (0.4%)

Counts
7 → 3
Calls
Call 1
Inputs
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 (*.f64 x x))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Outputs
(/.f64 (/.f64 -2 x) x)
(+.f64 2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 31 to 19 computations (38.7% saved)

bsearch34.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
0.0007322028861647231
29689022.94801058
17.0ms
-98065060.72833702
-0.06296002767423384
Results
30.0ms304×body256valid
Compiler

Compiled 282 to 203 computations (28% saved)

regimes13.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 (*.f64 x x))
(/.f64 -2 (*.f64 x x))
Outputs
(/.f64 -2 (*.f64 x x))
(+.f64 2 (*.f64 x x))
(/.f64 -2 (*.f64 x x))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch34.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
0.0007322028861647231
29689022.94801058
18.0ms
-98065060.72833702
-0.06296002767423384
Results
30.0ms304×body256valid
Compiler

Compiled 282 to 203 computations (28% saved)

regimes5.0ms (0.1%)

Accuracy

Total -29.8b remaining (-91%)

Threshold costs -29.8b (-91%)

Counts
4 → 1
Calls
Call 1
Inputs
2
(neg.f64 x)
(-.f64 1 x)
(+.f64 2 (*.f64 x x))
Outputs
2
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
32.8b1x
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×+-commutative
*-commutative
sub-neg
neg-mul-1
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023122
138122
245122
349122
451122
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (+.f64 2 (*.f64 x x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) (+.f64 2 (*.f64 x x)) (/.f64 -2 (*.f64 x x))))
2
Outputs
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (+.f64 2 (*.f64 x x)) (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) (+.f64 2 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) (+.f64 2 (*.f64 x x)) (/.f64 -2 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -2 (*.f64 x x)) (+.f64 2 (*.f64 x x)))
2
Compiler

Compiled 50 to 35 computations (30% saved)

soundness74.0ms (1.9%)

Algorithm
egg-herbie
Rules
832×*-commutative
828×distribute-lft-in
738×distribute-rgt-in
608×associate-/r*
602×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068314636
1225913626
Stop Event
node limit
Compiler

Compiled 248 to 164 computations (33.9% saved)

end35.0ms (0.9%)

Compiler

Compiled 47 to 30 computations (36.2% saved)

Profiling

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