Details

Time bar (total: 7.2s)

analyze0.0ms (0%)

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

Compiled 4 to 3 computations (25% saved)

sample568.0ms (7.9%)

Results
558.0ms8256×body256valid
Bogosity

preprocess6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(asinh.f64 x)
Outputs
(asinh.f64 x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
hypot-1-def
fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
11827
21927
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
29.7b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
29.7b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
44.0b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
4.5b
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
13.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
Compiler

Compiled 50 to 24 computations (52% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms
x
@inf
(sqrt.f64 (+.f64 (*.f64 x x) 1))
0.0ms
x
@0
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite78.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
876×*-commutative
760×associate-*r/
610×associate-*l/
580×distribute-lft-in
572×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
122937
2308337
Stop Event
node limit
Counts
3 → 148
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (*.f64 x x) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (*.f64 (*.f64 x x) 0) 1)) (+.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 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egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))))))

simplify125.0ms (1.7%)

Algorithm
egg-herbie
Rules
1676×associate-/r*
1048×associate-*r/
960×+-commutative
800×associate-*l/
788×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04646546
112416196
246186184
Stop Event
node limit
Counts
184 → 311
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (hypot.f64 1 x) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 0)
(+.f64 0 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x))) 1))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (hypot.f64 1 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(*.f64 1 (+.f64 (hypot.f64 1 x) x))
(*.f64 (+.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (*.f64 x x) 0) 1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (*.f64 (*.f64 x x) 0) 1)) (+.f64 (hypot.f64 1 x) x))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (*.f64 x x) (+.f64 1 (*.f64 x (+.f64 (hypot.f64 1 x) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (*.f64 (-.f64 (hypot.f64 1 x) x) (-.f64 (hypot.f64 1 x) x))))) (-.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (+.f64 1 (*.f64 x (-.f64 x (hypot.f64 1 x)))) (*.f64 x x)))))
(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) x)))
(/.f64 (+.f64 (hypot.f64 1 x) x) (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (hypot.f64 1 x) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (/.f64 (-.f64 x (hypot.f64 1 x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (/.f64 (-.f64 x (hypot.f64 1 x)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))))
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) 0)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (*.f64 x x) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))
Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 x (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
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(-.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 x (/.f64 -1/2 x)))
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(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
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(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))
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(*.f64 -1 (log.f64 (/.f64 1 x)))
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(*.f64 -1 (log.f64 (/.f64 -1 x)))
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x
(+.f64 (fabs.f64 x) x)
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(*.f64 -1 x)
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))
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(/.f64 (cbrt.f64 (hypot.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 x 6))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))
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(pow.f64 (fma.f64 x x 1) 1/2)
(sqrt.f64 (fma.f64 x x 1))
(pow.f64 (hypot.f64 1 x) 1)
(hypot.f64 1 x)
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(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 -1))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) 0)) 1) (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) 1) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 -1))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 -1))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (*.f64 x x) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x 1) 2)) (*.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 x x (fma.f64 x x 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (-.f64 x (hypot.f64 1 x)))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (+.f64 (*.f64 x x) (fma.f64 x x 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (-.f64 x (hypot.f64 1 x)) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (-.f64 x (hypot.f64 1 x))) (fma.f64 (fma.f64 x x 1) (fma.f64 x x (fma.f64 x x 1)) (pow.f64 x 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (fma.f64 (pow.f64 (hypot.f64 1 x) 3) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x 1) 3)) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) 1) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (*.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(/.f64 -1 (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))))
(/.f64 -1 (*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(pow.f64 (+.f64 (hypot.f64 1 x) x) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) x)) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) x)) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 0) 1) (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 2))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(fabs.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) x) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) x)))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (hypot.f64 1 x))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
4.5b
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms
x
@0
(+.f64 (fabs.f64 x) (hypot.f64 1 x))

rewrite62.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1658×add-sqr-sqrt
1644×*-un-lft-identity
1528×add-cube-cbrt
1512×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
117930
2225730
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))))

simplify54.0ms (0.7%)

Algorithm
egg-herbie
Rules
1328×fma-def
958×unswap-sqr
774×distribute-lft-in
732×distribute-rgt-in
570×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02272492
15972214
221991982
Stop Event
node limit
Counts
82 → 148
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (*.f64 -1/24 (*.f64 (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (*.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (*.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3 (fabs.f64 x)) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (/.f64 (fabs.f64 x) x)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))
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(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))

eval184.0ms (2.5%)

Compiler

Compiled 9214 to 6099 computations (33.8% saved)

prune76.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New44514459
Fresh000
Picked101
Done101
Total44714461
Error
0.0b
Counts
461 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
46.0b
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3) x)
16.0b
(copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x)
45.2b
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x)
27.6b
(copysign.f64 (log1p.f64 x) x)
44.4b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
47.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
48.0b
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
51.7b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
45.7b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1b
(copysign.f64 (log.f64 (+.f64 x x)) x)
56.8b
(copysign.f64 (log.f64 (+.f64 1 x)) x)
58.1b
(copysign.f64 (log.f64 (neg.f64 x)) x)
46.5b
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) x)
Compiler

Compiled 260 to 180 computations (30.8% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x))))
1.1b
(-.f64 x (-.f64 1 (hypot.f64 1 x)))
1.5b
(-.f64 1 (hypot.f64 1 x))
Compiler

Compiled 36 to 26 computations (27.8% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x))))
0.0ms
x
@0
(log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x))))
0.0ms
x
@inf
(log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x))))
0.0ms
x
@0
(-.f64 1 (hypot.f64 1 x))
0.0ms
x
@-inf
(-.f64 x (-.f64 1 (hypot.f64 1 x)))

rewrite90.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1062×associate-*r/
846×*-commutative
732×associate-*l/
650×distribute-lft-in
630×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0955
119455
2255555
Stop Event
node limit
Counts
3 → 202
Calls
Call 1
Inputs
(-.f64 1 (hypot.f64 1 x))
(-.f64 x (-.f64 1 (hypot.f64 1 x)))
(log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (hypot.f64 1 x))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (-.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 0 (*.f64 x x)) (-.f64 0 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 0 (*.f64 x x)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 1 (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))))) (-.f64 (-.f64 0 (*.f64 x x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) 3))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) (-.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (-.f64 0 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (cbrt.f64 (-.f64 0 (*.f64 x x)))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (-.f64 0 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 0 (*.f64 x x))) (+.f64 (neg.f64 (hypot.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (*.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (+.f64 1 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 (*.f64 x x)) 3)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (hypot.f64 1 x)) 3))) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (hypot.f64 1 x))) (sqrt.f64 (-.f64 0 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (hypot.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 0 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 0 (*.f64 x x))) 1) (+.f64 (neg.f64 (hypot.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) 1) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) 1) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))) (+.f64 1 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 x x)) 1) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 x x)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 0 (*.f64 x x)) (*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) 1) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 0 (*.f64 x x)) (+.f64 (neg.f64 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simplify134.0ms (1.9%)

Algorithm
egg-herbie
Rules
770×fma-def
676×+-commutative
646×associate-+l+
636×associate-*r*
572×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060613324
1179611650
Stop Event
node limit
Counts
238 → 383
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/128 (pow.f64 x 8)))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
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-1
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x
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(pow.f64 (-.f64 1 (hypot.f64 1 x)) 1)
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(pow.f64 (pow.f64 (-.f64 1 (hypot.f64 1 x)) 3) 1/3)
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(log.f64 (exp.f64 (-.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (hypot.f64 1 x)) 3))
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(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))
(log.f64 (-.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/16 (pow.f64 x 6))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/128 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (*.f64 5/128 (pow.f64 x 8)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (neg.f64 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (+.f64 1 (/.f64 -1/2 x)))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 (+.f64 1 (/.f64 1/2 x)) x)
(+.f64 x (+.f64 1 (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x 1) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 x (-.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 1 (neg.f64 (hypot.f64 1 x)))
(-.f64 1 (hypot.f64 1 x))
(+.f64 (neg.f64 (hypot.f64 1 x)) 1)
(-.f64 1 (hypot.f64 1 x))
(+.f64 (-.f64 1 (+.f64 1 (hypot.f64 1 x))) 1)
(-.f64 1 (hypot.f64 1 x))
(*.f64 1 (-.f64 1 (hypot.f64 1 x)))
(-.f64 1 (hypot.f64 1 x))
(*.f64 (-.f64 1 (hypot.f64 1 x)) 1)
(-.f64 1 (hypot.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (hypot.f64 1 x))) (sqrt.f64 (-.f64 1 (hypot.f64 1 x))))
(-.f64 1 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2))
(-.f64 1 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (hypot.f64 1 x))))
(-.f64 1 (hypot.f64 1 x))
(*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 1 (*.f64 x (neg.f64 x))) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (-.f64 0 (*.f64 x x)))
(/.f64 (*.f64 1 (*.f64 x (neg.f64 x))) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))) (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 0 (*.f64 x x)) (-.f64 0 (*.f64 x x))) (-.f64 1 (hypot.f64 1 x)))
(-.f64 1 (hypot.f64 1 x))
(*.f64 (/.f64 (-.f64 0 (*.f64 x x)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 2 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 2 (-.f64 (*.f64 x x) (hypot.f64 1 x))))
(*.f64 (/.f64 x (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (neg.f64 x))) (-.f64 (fma.f64 x x 2) (hypot.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 1 (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))))) (-.f64 (-.f64 0 (*.f64 x x)) (hypot.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 1 (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 1 (hypot.f64 1 x)))))) (-.f64 0 (fma.f64 x x (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (*.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 -1 (hypot.f64 1 x))))) (neg.f64 (fma.f64 x x (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (pow.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) 3))) (+.f64 1 (*.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) (-.f64 (+.f64 1 (+.f64 (*.f64 x x) (hypot.f64 1 x))) 1))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 x x (hypot.f64 1 x))) 3))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 x x (hypot.f64 1 x))) (+.f64 1 (-.f64 (fma.f64 x x (hypot.f64 1 x)) 1)))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 1)) 3)) (fma.f64 (+.f64 (hypot.f64 1 x) (fma.f64 x x 1)) (+.f64 (fma.f64 x x (hypot.f64 1 x)) 0) 1)))
(/.f64 1 (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(-.f64 1 (hypot.f64 1 x))
(/.f64 (-.f64 0 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 1 (*.f64 x (neg.f64 x))) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 0 (*.f64 x x))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (-.f64 0 (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 0 (*.f64 x x))) (cbrt.f64 (-.f64 0 (*.f64 x x)))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (-.f64 0 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (+.f64 1 (hypot.f64 1 x)) (cbrt.f64 (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 (+.f64 2 (fma.f64 x x (hypot.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))))))
(/.f64 (neg.f64 (-.f64 0 (*.f64 x x))) (+.f64 (neg.f64 (hypot.f64 1 x)) -1))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 6)) (*.f64 (+.f64 2 (fma.f64 x x (hypot.f64 1 x))) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 1 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 2 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 4)) (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 2))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (hypot.f64 1 x)) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 2 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 2 (fma.f64 x x (hypot.f64 1 x))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (hypot.f64 1 x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 1 (hypot.f64 1 x)) (+.f64 x (-.f64 1 (hypot.f64 1 x)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (-.f64 1 (hypot.f64 1 x)) (+.f64 x (-.f64 1 (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))
(fabs.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 (+.f64 x -1) 1)))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(*.f64 1 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(*.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (sqrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 1)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 2)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 3)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3) 1/3)
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))) 2))
(fabs.f64 (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))))
(log.f64 (-.f64 (+.f64 1 x) (-.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 x (-.f64 1 (hypot.f64 1 x)))))
(log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) 0)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 x)
Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log1p.f64 x)
0.0ms
x
@0
(log1p.f64 x)
0.0ms
x
@inf
(log1p.f64 x)

rewrite48.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
872×associate-*r*
704×add-sqr-sqrt
694×*-un-lft-identity
656×pow1
642×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1785
28845
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(log1p.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))

simplify55.0ms (0.8%)

Algorithm
egg-herbie
Rules
1514×associate-*r*
1236×associate-*l*
818×distribute-lft-out
642×associate-/r*
604×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01311310
13321102
29941078
352511078
Stop Event
node limit
Counts
50 → 98
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (log1p.f64 x) 1) -1)
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 (/.f64 1/2 x) x) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (-.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (+.f64 (log1p.f64 x) 1) -1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(*.f64 (cbrt.f64 (log1p.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) 0)) (+.f64 (log1p.f64 x) 2))
(/.f64 (+.f64 2 (log1p.f64 x)) (/.f64 (+.f64 2 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (+.f64 2 (log1p.f64 x)) (+.f64 2 (log1p.f64 x))) (log1p.f64 x))
(pow.f64 (log1p.f64 x) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)

localize7.0ms (0.1%)

Compiler

Compiled 15 to 4 computations (73.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.5b
(log.f64 (+.f64 (fabs.f64 x) 1))
Compiler

Compiled 21 to 12 computations (42.9% saved)

series51.0ms (0.7%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) 1))
19.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) 1))
12.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite53.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1340×add-sqr-sqrt
1324×*-un-lft-identity
1232×add-cube-cbrt
1220×add-cbrt-cube
1208×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11585
219355
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))

simplify49.0ms (0.7%)

Algorithm
egg-herbie
Rules
1150×distribute-lft-in
982×distribute-rgt-in
942×*-commutative
940×fma-def
692×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059314
1118294
2447294
32225292
46010290
Stop Event
node limit
Counts
32 → 30
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) 3)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (-.f64 (fma.f64 x x 1) x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(+.f64 (log1p.f64 x) (*.f64 0 (log.f64 (+.f64 x -1))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(log1p.f64 x)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
5.6b
(+.f64 (hypot.f64 1 x) (-.f64 x 1))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
0.0ms
x
@0
(+.f64 (hypot.f64 1 x) (-.f64 x 1))
0.0ms
x
@inf
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
0.0ms
x
@-inf
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
0.0ms
x
@-inf
(+.f64 (hypot.f64 1 x) (-.f64 x 1))

rewrite76.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
966×associate-*r/
810×*-commutative
672×unswap-sqr
662×associate-*l/
598×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0942
119542
2255536
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(+.f64 (hypot.f64 1 x) (-.f64 x 1))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) (+.f64 1 (-.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (-.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 1 x))) (-.f64 (/.f64 1 (fma.f64 x x (+.f64 1 x))) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (/.f64 x (/.f64 (+.f64 1 x) x))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 1 x)))) (/.f64 1 (fma.f64 x x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x -1) (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (+.f64 x (-.f64 -1 (hypot.f64 1 x))) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))) (+.f64 1 (-.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))) 3))) (+.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))) (-.f64 (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))) (+.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))) (*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (/.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 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simplify103.0ms (1.4%)

Algorithm
egg-herbie
Rules
1246×associate-+r+
1094×associate-*r/
1032×+-commutative
854×associate-*l/
520×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03847535
111406887
245416887
Stop Event
node limit
Counts
135 → 247
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
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x
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(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
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(-.f64 (+.f64 1 x) (+.f64 1 (-.f64 1 (hypot.f64 1 x))))
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(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
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(/.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))) (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))) (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
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(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (/.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))) (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2)))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))) (/.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))
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(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (*.f64 x x))) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 x -1) (pow.f64 (+.f64 x -1) 3))) (*.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 (+.f64 x -1) 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3) (pow.f64 (pow.f64 (+.f64 x -1) 3) 3)) (*.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))) (+.f64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x -1) 3) (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (hypot.f64 1 x) 3))))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))
(pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (+.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(fma.f64 1 (hypot.f64 1 x) (+.f64 x -1))
(fma.f64 1 (+.f64 x -1) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 x -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 1/2 x)))
(+.f64 -1 (/.f64 -1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6)))) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 x (-.f64 1 (hypot.f64 1 x)))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (+.f64 1 x) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (+.f64 1 x) (+.f64 1 (-.f64 1 (hypot.f64 1 x))))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 (+.f64 x -1)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1) (+.f64 x -1))
(+.f64 (+.f64 x -1) (expm1.f64 (log1p.f64 (hypot.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x)) 2)
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (-.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 x)))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) (/.f64 1 (+.f64 x 1))) (hypot.f64 1 x))
(+.f64 (fma.f64 (/.f64 x (+.f64 x 1)) x (hypot.f64 1 x)) (/.f64 -1 (+.f64 x 1)))
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 1 x))) (-.f64 (/.f64 1 (fma.f64 x x (+.f64 1 x))) (hypot.f64 1 x)))
(+.f64 (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 x 1))) (/.f64 1 (fma.f64 x x (+.f64 x 1)))) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 x x 1) x)) (/.f64 -1 (+.f64 (fma.f64 x x 1) x))))
(+.f64 (hypot.f64 1 x) (+.f64 (/.f64 (pow.f64 x 3) (+.f64 x (fma.f64 x x 1))) (/.f64 -1 (+.f64 x (fma.f64 x x 1)))))
(-.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 (hypot.f64 1 x) (/.f64 x (/.f64 (+.f64 1 x) x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x 1)) x) (/.f64 1 (+.f64 x 1))) (hypot.f64 1 x))
(+.f64 (fma.f64 (/.f64 x (+.f64 x 1)) x (hypot.f64 1 x)) (/.f64 -1 (+.f64 x 1)))
(-.f64 (+.f64 (hypot.f64 1 x) (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 1 x)))) (/.f64 1 (fma.f64 x x (+.f64 1 x))))
(+.f64 (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (+.f64 x 1))) (/.f64 1 (fma.f64 x x (+.f64 x 1)))) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 x x 1) x)) (/.f64 -1 (+.f64 (fma.f64 x x 1) x))))
(+.f64 (hypot.f64 1 x) (+.f64 (/.f64 (pow.f64 x 3) (+.f64 x (fma.f64 x x 1))) (/.f64 -1 (+.f64 x (fma.f64 x x 1)))))
(-.f64 (+.f64 (+.f64 x -1) (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1) (+.f64 x -1))
(+.f64 (+.f64 x -1) (expm1.f64 (log1p.f64 (hypot.f64 1 x))))
(*.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
(+.f64 (-.f64 x 1) (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (+.f64 1 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 1 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) 1) (+.f64 1 (fma.f64 x x (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (fma.f64 x x (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (fma.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))) (*.f64 x x))))
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(*.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval353.0ms (4.9%)

Compiler

Compiled 18286 to 13208 computations (27.8% saved)

prune134.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7535758
Fresh459
Picked101
Done224
Total76012772
Error
0b
Counts
772 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
58.5b
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
30.9b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
15.5b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x)
62.7b
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
27.6b
(copysign.f64 (log1p.f64 x) x)
44.4b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
47.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
48.0b
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
45.7b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.1b
(copysign.f64 (log.f64 (neg.f64 x)) x)
29.9b
(copysign.f64 x x)
Compiler

Compiled 194 to 131 computations (32.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
0.1b
(/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
0.5b
(log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
1.1b
(-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
Compiler

Compiled 65 to 44 computations (32.3% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
0.0ms
x
@0
(log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
0.0ms
x
@0
(-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
0.0ms
x
@inf
(log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
0.0ms
x
@-inf
(-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))

rewrite120.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1216×associate-/r/
804×distribute-rgt-in
762×distribute-lft-in
740×associate-/l/
274×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012110
1266110
23710110
Stop Event
node limit
Counts
4 → 284
Calls
Call 1
Inputs
(-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
(/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
Outputs
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2))) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (-.f64 0 (*.f64 x x))) (-.f64 -1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 2 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 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egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))))))

simplify157.0ms (2.2%)

Algorithm
egg-herbie
Rules
1098×associate-*r*
1008×associate-*l*
830×*-commutative
718×+-commutative
680×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080717522
1257216600
Stop Event
node limit
Counts
332 → 493
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/128 (pow.f64 x 8)))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
x
(+.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/8 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 x (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1))
(+.f64 x (+.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) (fma.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) (fma.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) (fma.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (+.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) (fma.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 x (*.f64 1 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1)))
(+.f64 x (*.f64 (*.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1) 1))
(+.f64 1 (-.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 1))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 0)
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 2) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(+.f64 (-.f64 x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (+.f64 (fma.f64 (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))) x (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) (fma.f64 (*.f64 x (neg.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))))) 1 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
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(*.f64 (/.f64 (/.f64 x 1) (+.f64 1 (hypot.f64 1 x))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x))) (+.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (+.f64 2 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (hypot.f64 1 x)))) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 (hypot.f64 1 x) x) (/.f64 (hypot.f64 1 x) x)))) (+.f64 (/.f64 -1 x) (/.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (/.f64 (hypot.f64 1 x) x) 3))) (+.f64 (+.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 (hypot.f64 1 x) x) (/.f64 (hypot.f64 1 x) x))) (*.f64 (/.f64 -1 x) (/.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (neg.f64 x) (*.f64 x (hypot.f64 1 x)))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (-.f64 0 (*.f64 x x)) 1)) (*.f64 (+.f64 -1 (hypot.f64 1 x)) x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) 1)) (*.f64 (+.f64 (neg.f64 (hypot.f64 1 x)) (+.f64 2 (*.f64 x x))) x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))) 1) (sqrt.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) 1) (cbrt.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 3)
(pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (*.f64 x x)) -1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 -1 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 -1 (hypot.f64 1 x)))))
(+.f64 (/.f64 -1 x) (neg.f64 (/.f64 (hypot.f64 1 x) x)))
(+.f64 (/.f64 -1 x) (*.f64 1 (neg.f64 (/.f64 (hypot.f64 1 x) x))))
(+.f64 (/.f64 -1 x) (*.f64 (/.f64 1 x) (neg.f64 (hypot.f64 1 x))))
(+.f64 (/.f64 -1 x) (*.f64 (/.f64 1 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1)))
(+.f64 (/.f64 -1 x) (*.f64 (neg.f64 (hypot.f64 1 x)) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (*.f64 (*.f64 (neg.f64 (hypot.f64 1 x)) 1) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 (hypot.f64 1 x) x)) (/.f64 -1 x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (hypot.f64 1 x))) (/.f64 -1 x))
(+.f64 (*.f64 (/.f64 -1 x) 1) (*.f64 (neg.f64 (/.f64 (hypot.f64 1 x) x)) 1))
(+.f64 (*.f64 (neg.f64 (hypot.f64 1 x)) (/.f64 1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (hypot.f64 1 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))) 1)
(*.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(*.f64 1 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
(*.f64 (-.f64 -1 (hypot.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 -1 x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2))) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (-.f64 0 (*.f64 x x))) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 2 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (-.f64 1 (*.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))) (-.f64 (-.f64 0 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (+.f64 1 (pow.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))
(pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))) -1)
(neg.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 2 x -1) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x -1) (/.f64 1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(-.f64 -1 (/.f64 1/2 x))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 -1 (/.f64 1/2 x)))
(-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (+.f64 1 (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 5/128 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) (*.f64 5/128 (pow.f64 x 8)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 1 x)) (/.f64 -1/2 x))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x))
(+.f64 (/.f64 1/2 x) (+.f64 x 1))
(+.f64 1 (+.f64 (/.f64 1/2 x) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x 1) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 -2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 1/8 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/2 x (*.f64 1/8 (pow.f64 x 3))) (/.f64 2 x))
(+.f64 (fma.f64 -1/2 x (*.f64 1/8 (pow.f64 x 3))) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
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(*.f64 (/.f64 x (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) 1) (cbrt.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
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(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (neg.f64 x)))
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(*.f64 x (/.f64 x (-.f64 -1 (hypot.f64 1 x))))
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(*.f64 x (/.f64 x (-.f64 -1 (hypot.f64 1 x))))
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(*.f64 x (/.f64 x (-.f64 -1 (hypot.f64 1 x))))
(pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (*.f64 x x)) -1)
(*.f64 x (/.f64 x (-.f64 -1 (hypot.f64 1 x))))
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(*.f64 x (/.f64 x (-.f64 -1 (hypot.f64 1 x))))
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(*.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))) (log.f64 (exp.f64 x)))
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(+.f64 (*.f64 (neg.f64 (hypot.f64 1 x)) (/.f64 1 x)) (/.f64 -1 x))
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(-.f64 (/.f64 -1 x) (/.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))) 1)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 -1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 1 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (-.f64 -1 (hypot.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 1)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 1 x) (-.f64 -1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 -1 x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (+.f64 1 (hypot.f64 1 x)) (/.f64 -1 x))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 -1 (hypot.f64 1 x)) (cbrt.f64 x)))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) 1) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2))) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 -1 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) 2) (/.f64 (cbrt.f64 (-.f64 -1 (hypot.f64 1 x))) x))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (-.f64 0 (*.f64 x x))) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (-.f64 -1 (hypot.f64 1 x)) (/.f64 (/.f64 (neg.f64 (*.f64 x x)) x) (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 x) (/.f64 x x)) (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 0 (*.f64 x x)) (/.f64 1 x)) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (-.f64 (+.f64 2 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (/.f64 (neg.f64 (*.f64 x x)) x) (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 2 (-.f64 (*.f64 x x) (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) x)) (+.f64 2 (-.f64 (*.f64 x x) (neg.f64 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (-.f64 1 (*.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))) (-.f64 (-.f64 0 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) x) (-.f64 1 (*.f64 (hypot.f64 1 x) (*.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))))) (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) x) (-.f64 1 (*.f64 (hypot.f64 1 x) (*.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))))) (-.f64 (*.f64 x (neg.f64 x)) (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 x)) (+.f64 1 (pow.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) x) (+.f64 1 (pow.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) 3))) (+.f64 1 (-.f64 (*.f64 (hypot.f64 1 x) (*.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (*.f64 (+.f64 1 (pow.f64 (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))) 3)) x)) (+.f64 1 (-.f64 (*.f64 (hypot.f64 1 x) (*.f64 (+.f64 -1 (hypot.f64 1 x)) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))) (*.f64 (hypot.f64 1 x) (+.f64 -1 (hypot.f64 1 x))))))
(pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 1)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 2)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 3)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 3) 1/3)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(pow.f64 (/.f64 x (-.f64 -1 (hypot.f64 1 x))) -1)
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(neg.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 -1 (hypot.f64 1 x))) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x))))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x) 3))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)) 1))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))
(/.f64 (-.f64 -1 (hypot.f64 1 x)) x)

localize3.0ms (0%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize9.0ms (0.1%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 22 to 12 computations (45.5% saved)

series5.0ms (0.1%)

Counts
1 → 9
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+.f64 (/.f64 1 x) (log.f64 x))
2.0ms
x
@0
(+.f64 (/.f64 1 x) (log.f64 x))
1.0ms
x
@inf
(+.f64 (/.f64 1 x) (log.f64 x))

rewrite64.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1662×add-sqr-sqrt
1640×*-un-lft-identity
1534×add-cube-cbrt
1518×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116317
2208017
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1 x) (log.f64 x)) (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))) (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x -2)) (-.f64 (log.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))) (neg.f64 (-.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 x (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (/.f64 1 x))))))

simplify72.0ms (1%)

Algorithm
egg-herbie
Rules
1084×associate-*r*
966×associate-*l*
930×associate-+r+
658×associate-+l+
466×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051414
12451212
28201210
343361210
Stop Event
node limit
Counts
44 → 52
Calls
Call 1
Inputs
(/.f64 1 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 (/.f64 1 x) (log.f64 x))))
(*.f64 1 (+.f64 (/.f64 1 x) (log.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (log.f64 x))))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (log.f64 x)) (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))) (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x -2)) (-.f64 (log.f64 x) (/.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))) (neg.f64 (-.f64 (/.f64 1 x) (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))
(pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 2))
(log.f64 (*.f64 x (exp.f64 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 1 (/.f64 1 x) (log.f64 x))
(fma.f64 1 (log.f64 x) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (/.f64 1 x))
Outputs
(/.f64 1 x)
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 1 x) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 1 x) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 1 x) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (-.f64 (/.f64 1 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(*.f64 1 (+.f64 (/.f64 1 x) (log.f64 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (-.f64 (/.f64 1 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 1 (/.f64 (-.f64 (/.f64 1 x) (log.f64 x)) (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))) (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x -2)) (-.f64 (log.f64 x) (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2))) (neg.f64 (-.f64 (/.f64 1 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1 x) (log.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 (log.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 x) (-.f64 (pow.f64 x -2) (/.f64 (log.f64 x) x))))
(pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 2)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 3)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3) 1/3)
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(log.f64 (*.f64 x (exp.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (log.f64 x)) 3))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) (log.f64 x))) 1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (log.f64 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(fma.f64 1 (/.f64 1 x) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(fma.f64 1 (log.f64 x) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 17 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1288×add-sqr-sqrt
1260×*-un-lft-identity
1204×add-cube-cbrt
1198×add-cbrt-cube
1190×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
11687
228387
Stop Event
node limit
Counts
1 → 125
Calls
Call 1
Inputs
(+.f64 (/.f64 1/2 x) (+.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (+.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 1/2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (+.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (neg.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (*.f64 x x)) (-.f64 (+.f64 x (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 x) 0) (*.f64 0 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (+.f64 x x)) 0) (*.f64 0 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 x (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) (neg.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (+.f64 x x))))))

simplify23.0ms (0.3%)

Algorithm
egg-herbie
Rules
104×*-commutative
60×associate-/r*
30×associate-/l*
30×sqr-pow
30×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268783
1812783
Stop Event
unsound
Counts
137 → 150
Calls
Call 1
Inputs
(/.f64 1/2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 x x) (+.f64 x x))
(-.f64 (+.f64 1 (+.f64 x x)) 1)
(-.f64 (-.f64 (+.f64 x x) x) x)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(*.f64 1/2 (/.f64 1 x))
(*.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 x x)))
(*.f64 x 2)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 1 (+.f64 x x))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 2 x)
(*.f64 2 (*.f64 x (+.f64 x x)))
(*.f64 0 (/.f64 1 0))
(*.f64 (/.f64 1 x) 1/2)
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 -1/2 (/.f64 1 (neg.f64 x)))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 4 (*.f64 x x))
(*.f64 8 (pow.f64 x 3))
(*.f64 (*.f64 (+.f64 x x) 1/2) (/.f64 1 x))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x x) 2) x)
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
(/.f64 1/2 x)
(/.f64 1/2 (*.f64 x (+.f64 x x)))
(/.f64 1/2 (*.f64 (+.f64 x x) x))
(/.f64 1/2 (neg.f64 (neg.f64 x)))
(/.f64 x 1/2)
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x x) 1))
(/.f64 (sqrt.f64 1/2) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 x)))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 1/4 (*.f64 x x))
(/.f64 1/4 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 0 0)
(/.f64 0 (*.f64 (neg.f64 x) 0))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
(/.f64 -1/2 (neg.f64 x))
(/.f64 -1/2 (*.f64 (+.f64 x x) (neg.f64 x)))
(/.f64 -1/2 (*.f64 (neg.f64 x) (+.f64 x x)))
(/.f64 (neg.f64 x) -1/2)
(/.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 -1/8 (pow.f64 (neg.f64 x) 3))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) 1/2) x)
(/.f64 (*.f64 (+.f64 x x) -1/2) (neg.f64 x))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 1/2 (+.f64 x x)) x)
(/.f64 (*.f64 -1/2 (+.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -1 (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (*.f64 x x)) (-.f64 (+.f64 x (+.f64 x x)) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) x))))
(/.f64 (+.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))
(/.f64 (+.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
(/.f64 (+.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))
(/.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
(/.f64 (+.f64 (*.f64 0 x) 0) (*.f64 0 x))
(/.f64 (+.f64 (*.f64 0 (+.f64 x x)) 0) (*.f64 0 (+.f64 x x)))
(/.f64 (+.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))
(/.f64 (-.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
(/.f64 (-.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))
(/.f64 (-.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
(/.f64 -1/4 (*.f64 (neg.f64 x) x))
(/.f64 -1/4 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 x (fma.f64 x x 0)))
(/.f64 (*.f64 -1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) -1)
(pow.f64 (+.f64 x x) 1/3)
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (+.f64 x x) (+.f64 x x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
(fma.f64 1/2 (/.f64 1 x) (neg.f64 (+.f64 x x)))
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (+.f64 x x) (+.f64 x x))
(fma.f64 1 (+.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 2 x (+.f64 x x))
Outputs
(/.f64 1/2 x)
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(*.f64 2 x)
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(*.f64 2 x)
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
0
(-.f64 (+.f64 x x) (+.f64 x x))
0
(-.f64 (+.f64 1 (+.f64 x x)) 1)
0
(-.f64 (-.f64 (+.f64 x x) x) x)
0
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
0
(*.f64 1/2 (/.f64 1 x))
0
(*.f64 1/2 (*.f64 (/.f64 1 x) (+.f64 x x)))
0
(*.f64 x 2)
0
(*.f64 (+.f64 x x) (+.f64 x x))
0
(*.f64 (+.f64 x x) 1)
0
(*.f64 1 (+.f64 x x))
0
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1 x)))
0
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 x)))
0
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
0
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
0
(*.f64 2 x)
0
(*.f64 2 (*.f64 x (+.f64 x x)))
0
(*.f64 0 (/.f64 1 0))
0
(*.f64 (/.f64 1 x) 1/2)
0
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
0
(*.f64 -1/2 (/.f64 1 (neg.f64 x)))
-1/2
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(*.f64 4 (*.f64 x x))
(*.f64 (*.f64 x x) 4)
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(*.f64 (*.f64 (+.f64 x x) 1/2) (/.f64 1 x))
0
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (*.f64 2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (+.f64 x x) 2) x)
0
(*.f64 (pow.f64 (+.f64 x x) 3/2) (pow.f64 (+.f64 x x) 3/2))
0
(/.f64 1/2 x)
0
(/.f64 1/2 (*.f64 x (+.f64 x x)))
0
(/.f64 1/2 (*.f64 (+.f64 x x) x))
0
(/.f64 1/2 (neg.f64 (neg.f64 x)))
0
(/.f64 x 1/2)
(/.f64 x 0)
(/.f64 (+.f64 x x) (+.f64 x x))
0
(/.f64 1 (+.f64 x x))
0
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
0
(/.f64 1 (/.f64 (+.f64 x x) 1))
0
(/.f64 (sqrt.f64 1/2) (sqrt.f64 x))
(/.f64 0 (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 1/2 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 0) (sqrt.f64 x))
(/.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(/.f64 0 (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 0 (cbrt.f64 x)))
(/.f64 1/4 (*.f64 x x))
0
(/.f64 1/4 (*.f64 (neg.f64 x) (neg.f64 x)))
0
(/.f64 1/8 (pow.f64 x 3))
(/.f64 0 0)
0
(/.f64 0 (*.f64 (neg.f64 x) 0))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
0
(/.f64 -1/2 (neg.f64 x))
-1/2
(/.f64 -1/2 (*.f64 (+.f64 x x) (neg.f64 x)))
-1/2
(/.f64 -1/2 (*.f64 (neg.f64 x) (+.f64 x x)))
-1/2
(/.f64 (neg.f64 x) -1/2)
(/.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) 0)
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
0
(/.f64 (cbrt.f64 -1/2) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) 0)
(/.f64 -1/8 (pow.f64 (neg.f64 x) 3))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
0
(/.f64 (*.f64 (+.f64 x x) 1/2) x)
0
(/.f64 (*.f64 (+.f64 x x) -1/2) (neg.f64 x))
-1/2
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 1/2 (+.f64 x x)) x)
0
(/.f64 (*.f64 -1/2 (+.f64 x x)) (neg.f64 x))
-1/2
(/.f64 (*.f64 0 (+.f64 x x)) 0)
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
0
(/.f64 (/.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 0 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 0 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 -1 (neg.f64 (+.f64 x x)))
(/.f64 -1 0)
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))
0
(/.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (*.f64 x x)) (-.f64 (+.f64 x (+.f64 x x)) x))
(/.f64 (*.f64 0 (+.f64 x (neg.f64 x))) (+.f64 x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (+.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x (+.f64 x x)) (+.f64 x (+.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (+.f64 x (+.f64 x x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 0) 3)) (fma.f64 (+.f64 x 0) (+.f64 x 0) (*.f64 x (-.f64 x (+.f64 x 0)))))
(/.f64 (+.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))
0
(/.f64 (+.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
0
(/.f64 (+.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))
0
(/.f64 (+.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
-1/2
(/.f64 (+.f64 (*.f64 0 x) 0) (*.f64 0 x))
0
(/.f64 (+.f64 (*.f64 0 (+.f64 x x)) 0) (*.f64 0 (+.f64 x x)))
0
(/.f64 (+.f64 (*.f64 0 (neg.f64 x)) 0) (*.f64 0 (neg.f64 x)))
0
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (*.f64 (fma.f64 x x 0) 1/2)) (*.f64 (fma.f64 x x 0) x))
0
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (*.f64 (fma.f64 x x 0) 1)) (*.f64 2 (pow.f64 x 3)))
0
(/.f64 (+.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (fma.f64 x x 0) -1/2)) (*.f64 (fma.f64 x x 0) (neg.f64 x)))
-1/2
(/.f64 (-.f64 (*.f64 1/2 (fma.f64 x x 0)) (*.f64 x (*.f64 2 (pow.f64 x 3)))) (*.f64 x (fma.f64 x x 0)))
0
(/.f64 (-.f64 (fma.f64 x x 0) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (+.f64 x x) (fma.f64 x x 0)))
0
(/.f64 (-.f64 0 (*.f64 (neg.f64 x) 0)) (*.f64 (neg.f64 x) 0))
0
(/.f64 (-.f64 (*.f64 -1/2 (fma.f64 x x 0)) (*.f64 (neg.f64 x) (*.f64 2 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
-1/2
(/.f64 -1/4 (*.f64 (neg.f64 x) x))
(/.f64 -1/4 (*.f64 x (neg.f64 x)))
(/.f64 -1/4 (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
0
(/.f64 (*.f64 1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 x (fma.f64 x x 0)))
0
(/.f64 (*.f64 -1/2 (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
-1/2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
0
(/.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 3) (pow.f64 (fma.f64 x x 0) 3))
(/.f64 (*.f64 8 (pow.f64 (pow.f64 x 3) 3)) 0)
(pow.f64 (+.f64 x x) 1/2)
0
(pow.f64 (+.f64 x x) 1)
0
(pow.f64 (+.f64 x x) 2)
0
(pow.f64 (+.f64 x x) 3)
0
(pow.f64 (+.f64 x x) -1)
0
(pow.f64 (+.f64 x x) 1/3)
0
(sqrt.f64 (+.f64 x x))
0
(fabs.f64 (+.f64 x x))
0
(log.f64 (pow.f64 (exp.f64 2) x))
(*.f64 x (log.f64 (exp.f64 2)))
(cbrt.f64 (+.f64 x x))
0
(expm1.f64 (log1p.f64 (+.f64 x x)))
0
(hypot.f64 (+.f64 x x) (+.f64 x x))
(hypot.f64 0 0)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
0
(log1p.f64 (expm1.f64 (+.f64 x x)))
0
(fma.f64 1/2 (/.f64 1 x) (+.f64 x x))
0
(fma.f64 1/2 (/.f64 1 x) (neg.f64 (+.f64 x x)))
0
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 x x))
0
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))
0
(fma.f64 1 x x)
(+.f64 x 0)
(fma.f64 1 (+.f64 x x) (+.f64 x x))
0
(fma.f64 1 (+.f64 x x) (neg.f64 (+.f64 x x)))
0
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 2 x (+.f64 x x))
0

eval316.0ms (4.4%)

Compiler

Compiled 16110 to 10513 computations (34.7% saved)

prune157.0ms (2.2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New6923695
Fresh145
Picked011
Done066
Total69314707
Error
0b
Counts
707 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
58.5b
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
30.9b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
15.5b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x)
26.9b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
17.3b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
62.7b
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
27.6b
(copysign.f64 (log1p.f64 x) x)
44.4b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
47.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
48.0b
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
45.7b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.1b
(copysign.f64 (log.f64 (neg.f64 x)) x)
29.9b
(copysign.f64 x x)
Compiler

Compiled 216 to 147 computations (31.9% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))
0.0b
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
0.0b
(/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
0.4b
(/.f64 1/2 (*.f64 x x))
Compiler

Compiled 98 to 59 computations (39.8% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite118.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1430×associate-/l*
1126×associate-/r/
342×+-commutative
320×add-sqr-sqrt
316×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013118
1309106
24614106
Stop Event
node limit
Counts
4 → 245
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 x x))
(/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))))))
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simplify134.0ms (1.9%)

Algorithm
egg-herbie
Rules
866×associate-*r*
800×fma-def
676×*-commutative
656×associate-*l*
544×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067717497
1197115749
Stop Event
node limit
Counts
293 → 399
Calls
Call 1
Inputs
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 3))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (*.f64 x (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (neg.f64 (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))))
(pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(fma.f64 1 x (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
Outputs
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 4 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 4 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (*.f64 4 (pow.f64 x 4)))
(+.f64 (*.f64 4 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -4 (pow.f64 x 5))))
(fma.f64 4 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (*.f64 -4 (pow.f64 x 5))))
(+.f64 (*.f64 8 (pow.f64 x 7)) (+.f64 (*.f64 4 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 -4 (pow.f64 x 5)))))
(fma.f64 8 (pow.f64 x 7) (fma.f64 4 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (*.f64 -4 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 3)) x) (+.f64 1 (/.f64 -1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 3)) x) (+.f64 1 (/.f64 -1/2 x)))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (+.f64 1/2 x))
x
(+.f64 (*.f64 2 (pow.f64 x 3)) x)
(fma.f64 2 (pow.f64 x 3) x)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x))
(fma.f64 2 (pow.f64 x 3) (fma.f64 -4 (pow.f64 x 4) x))
(fma.f64 2 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -4 x))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (fma.f64 -4 (pow.f64 x 4) x)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (fma.f64 (pow.f64 x 4) -4 x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 -1 (/.f64 1/4 (pow.f64 x 3))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 -1 (fma.f64 x 2 (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 2 x)) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (-.f64 -1 (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(/.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (*.f64 x x))
(*.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(/.f64 1/2 (*.f64 x x))
(*.f64 1 (*.f64 1/2 (pow.f64 x -2)))
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1/2 x))
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 x x))) (cbrt.f64 (/.f64 1/4 (pow.f64 x 4))))
(*.f64 (pow.f64 x -2) 1/2)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(/.f64 1/2 (*.f64 x x))
(*.f64 -1/2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (*.f64 (/.f64 1/2 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) -1/2)
(/.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x 1/2)) -1)
(/.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 x -2) 3)))
(sqrt.f64 (/.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(/.f64 1/2 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(/.f64 1/2 (*.f64 x x))
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1))
(/.f64 1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(/.f64 1/2 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 1)
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 x (/.f64 -1 (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 1 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 1)
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (sqrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 (neg.f64 x) (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 2))
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 2) (cbrt.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 (neg.f64 x) (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (/.f64 -1 (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) x)
(/.f64 (neg.f64 x) (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (neg.f64 x) (+.f64 1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (/.f64 x (sqrt.f64 (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))) (sqrt.f64 (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)) 2))) (*.f64 x (+.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (*.f64 1 (*.f64 x (+.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (-.f64 1 (pow.f64 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)) 2)))
(/.f64 x (/.f64 (-.f64 1 (pow.f64 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)) 2)) (+.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
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(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (/.f64 (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2)))) (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3))) (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2)))) (/.f64 (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2))) (/.f64 (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)))) (/.f64 (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)))) (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3))) (/.f64 (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) (-.f64 x (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) (*.f64 x (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3)) 1) (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3)) (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 2))) (neg.f64 (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))) (+.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) 3)) (fma.f64 x x (*.f64 (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))) (+.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))))))
(pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 1)
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 2)
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 3)
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(pow.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 3) 1/3)
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 2))
(fabs.f64 (-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x))))))
(log.f64 (exp.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x))))) 3))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(exp.f64 (log.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))) 1))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(fma.f64 1 x (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (fma.f64 1/2 (pow.f64 x -2) (/.f64 1 x)))))
(-.f64 x (/.f64 x (-.f64 -1 (*.f64 (pow.f64 x -2) (+.f64 1/2 x)))))

localize6.0ms (0.1%)

Compiler

Compiled 12 to 4 computations (66.7% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.2b
(log1p.f64 (-.f64 -1 (/.f64 1/2 x)))
Compiler

Compiled 26 to 20 computations (23.1% saved)

series38.0ms (0.5%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@0
(log1p.f64 (-.f64 -1 (/.f64 1/2 x)))
9.0ms
x
@-inf
(log1p.f64 (-.f64 -1 (/.f64 1/2 x)))
5.0ms
x
@inf
(log1p.f64 (-.f64 -1 (/.f64 1/2 x)))

rewrite60.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1866×add-sqr-sqrt
1840×*-un-lft-identity
1720×add-cube-cbrt
1706×add-cbrt-cube
182×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119411
2232111
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(log1p.f64 (-.f64 -1 (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))))))

simplify61.0ms (0.8%)

Algorithm
egg-herbie
Rules
1094×distribute-lft-in
1004×distribute-rgt-in
754×associate-*r*
690×distribute-lft-neg-out
588×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048540
189348
2353348
32108348
46205348
Stop Event
node limit
Counts
28 → 20
Calls
Call 1
Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1/2 x))) 1))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 -1/2 x))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.1b
(*.f64 -1/6 (pow.f64 x 3))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -1/6 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite58.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1738×add-sqr-sqrt
1702×*-un-lft-identity
1614×add-cube-cbrt
1602×add-cbrt-cube
166×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
118028
2216928
Stop Event
node limit
Counts
2 → 50
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Rules
770×associate-*r/
650×+-commutative
622×associate-*l/
606×associate--r+
558×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191289
12871239
211511171
352581171
Stop Event
node limit
Counts
53 → 57
Calls
Call 1
Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (+.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 1/6)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
0.0b
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
0.1b
(/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
Compiler

Compiled 63 to 42 computations (33.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
0.0ms
x
@inf
(log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
0.0ms
x
@inf
(/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
0.0ms
x
@0
(/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
0.0ms
x
@-inf
(log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))

rewrite85.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1876×associate-*l/
1400×associate-/r*
1028×associate-/l*
288×add-sqr-sqrt
276×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01279
127567
2378567
Stop Event
node limit
Counts
3 → 150
Calls
Call 1
Inputs
(/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))
(-.f64 (*.f64 x -1/2) (/.f64 2 x))
(log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x)))))
Outputs
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simplify194.0ms (2.7%)

Algorithm
egg-herbie
Rules
1564×associate-/r/
1278×associate-/l/
954×associate-+l+
940×+-commutative
840×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04358166
111327516
250737436
Stop Event
node limit
Counts
186 → 279
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/128 (pow.f64 x 8)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2)))))
-2
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
-2
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2)
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(/.f64 -2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 3 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 3))))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 1)
(*.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -2 x))))
(*.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))) 1)
(*.f64 1 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) (sqrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -1/8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))) (+.f64 (+.f64 (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (/.f64 4 x) x)) 1) (fma.f64 x -1/2 (/.f64 2 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (/.f64 4 x) x)) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (/.f64 4 x) x)) (*.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))))
(/.f64 (/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (fma.f64 x -1/2 (/.f64 -2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/2 (/.f64 -2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 -2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(fma.f64 x -1/2 (/.f64 -2 x))
(fma.f64 -1/2 x (/.f64 -2 x))
(fma.f64 1 (*.f64 x -1/2) (/.f64 -2 x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x -1/2)) (/.f64 -2 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))))) 1)
(*.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 1)
(*.f64 1 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) (sqrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) 2) (cbrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))))
(pow.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 2))
(log.f64 (+.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 x (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))) 1))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/32 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 6))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/128 (pow.f64 x 8)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/128 (pow.f64 x 8) (fma.f64 -1/32 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/128 (pow.f64 x 8) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 6)))))
-2
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 8 (*.f64 x x)) -2)
(+.f64 -2 (/.f64 8 (*.f64 x x)))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 8 (*.f64 x x)) -2) (/.f64 32 (pow.f64 x 4)))
(-.f64 (+.f64 -2 (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4)))
(+.f64 -2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6))) 2) (/.f64 32 (pow.f64 x 4)))
(+.f64 (/.f64 128 (pow.f64 x 6)) (-.f64 (+.f64 -2 (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4))))
(+.f64 (+.f64 -2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 32 (pow.f64 x 4)))) (/.f64 128 (pow.f64 x 6)))
-2
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2)
(+.f64 (/.f64 8 (*.f64 x x)) -2)
(+.f64 -2 (/.f64 8 (*.f64 x x)))
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 8 (*.f64 x x)) -2) (/.f64 32 (pow.f64 x 4)))
(-.f64 (+.f64 -2 (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4)))
(+.f64 -2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 6)))) (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 6))) 2) (/.f64 32 (pow.f64 x 4)))
(+.f64 (/.f64 128 (pow.f64 x 6)) (-.f64 (+.f64 -2 (/.f64 8 (*.f64 x x))) (/.f64 32 (pow.f64 x 4))))
(+.f64 (+.f64 -2 (-.f64 (/.f64 8 (*.f64 x x)) (/.f64 32 (pow.f64 x 4)))) (/.f64 128 (pow.f64 x 6)))
(/.f64 -2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(*.f64 -1/2 x)
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
(-.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (neg.f64 (/.f64 2 x)))
(fma.f64 -1/2 x (/.f64 -2 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -1/32 (pow.f64 x 6)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -1/32 (pow.f64 x 6) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x))
(+.f64 (log.f64 x) (/.f64 3 x))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 3 x)) (/.f64 9/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 (pow.f64 x 3))) (/.f64 9/2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -9/2 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 3 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3 x) (log.f64 -1)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 9/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 3 x) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -9/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 3))))) (*.f64 9/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 3 x) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 -1))) (/.f64 9/2 (*.f64 x x))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3 x) (/.f64 -9/2 (*.f64 x x))))
(+.f64 (/.f64 3 x) (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 9/2 (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))) 1)
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 x (/.f64 1 (fma.f64 x -1/2 (/.f64 -2 x))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))) 1)
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 1 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) (sqrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) 2))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))) 2) (cbrt.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 1 (fma.f64 x -1/2 (/.f64 -2 x))) x)
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x -1/2 (/.f64 -2 x))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (/.f64 x (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 (/.f64 4 x) x))) (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) 1/4) (/.f64 4 (*.f64 x x)))) (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 x (/.f64 (fma.f64 -1/2 x (/.f64 2 x)) (fma.f64 x (*.f64 x 1/4) (/.f64 -4 (*.f64 x x)))))
(*.f64 (/.f64 x (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))
(*.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x 3) -1/8) (/.f64 8 (pow.f64 x 3)))) (fma.f64 (*.f64 x x) 1/4 (*.f64 (/.f64 2 x) (fma.f64 x -1/2 (/.f64 2 x)))))
(/.f64 (*.f64 x (fma.f64 (/.f64 2 x) (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 (*.f64 x x) 1/4))) (fma.f64 (pow.f64 x 3) -1/8 (/.f64 -8 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x -1/2 (/.f64 -2 x))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))
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(log1p.f64 (-.f64 x (/.f64 x (fma.f64 -1/2 x (/.f64 -2 x)))))

eval497.0ms (6.9%)

Compiler

Compiled 22431 to 16129 computations (28.1% saved)

prune306.0ms (4.2%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New7541755
Fresh022
Picked011
Done11011
Total75514769
Error
0b
Counts
769 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
58.5b
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
30.9b
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
15.5b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x)
26.9b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
17.3b
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
62.7b
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
27.6b
(copysign.f64 (log1p.f64 x) x)
44.4b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
47.1b
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
48.0b
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
45.7b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
48.1b
(copysign.f64 (log.f64 (+.f64 x x)) x)
58.1b
(copysign.f64 (log.f64 (neg.f64 x)) x)
29.9b
(copysign.f64 x x)
Compiler

Compiled 135 to 90 computations (33.3% saved)

regimes85.0ms (1.2%)

Counts
25 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x)
(copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)))) x)
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (hypot.f64 1 x) x))) 3) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x)
Calls

2 calls:

51.0ms
x
27.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
ErrorSegmentsBranch
0b2x
0b2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 251 to 159 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-12.8131529193028
-9.89890778568196e-7
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes58.0ms (0.8%)

Counts
20 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x)
(copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x)
(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x)
Calls

1 calls:

53.0ms
x
Results
ErrorSegmentsBranch
0.5b2x
Compiler

Compiled 182 to 115 computations (36.8% saved)

bsearch21.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
-183506.5679970066
-9.898907785863006e-7
Results
19.0ms144×body256valid
Compiler

Compiled 233 to 174 computations (25.3% saved)

regimes50.0ms (0.7%)

Counts
18 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

46.0ms
x
Results
ErrorSegmentsBranch
0.0b3x
Compiler

Compiled 159 to 101 computations (36.5% saved)

bsearch38.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
1.954231904696153e-7
0.03205143804039169
21.0ms
-183506.5679970066
-9.898907785863006e-7
Results
34.0ms304×body256valid
Compiler

Compiled 436 to 317 computations (27.3% saved)

regimes34.0ms (0.5%)

Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 139 to 87 computations (37.4% saved)

bsearch45.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
1.954231904696153e-7
0.03205143804039169
23.0ms
-183506.5679970066
-9.898907785863006e-7
Results
41.0ms304×body256valid
Compiler

Compiled 396 to 287 computations (27.5% saved)

regimes19.0ms (0.3%)

Counts
15 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x)
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.2b2x
Compiler

Compiled 131 to 82 computations (37.4% saved)

bsearch46.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
-183506.5679970066
-9.898907785863006e-7
Results
43.0ms160×body256valid
Compiler

Compiled 277 to 192 computations (30.7% saved)

regimes32.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 90 to 56 computations (37.8% saved)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
0.03205143804039169
1.4195365991169964
23.0ms
-183506.5679970066
-9.898907785863006e-7
Results
33.0ms272×body256valid
Compiler

Compiled 453 to 315 computations (30.5% saved)

regimes27.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 76 to 47 computations (38.2% saved)

bsearch58.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
0.03205143804039169
1.4195365991169964
20.0ms
-183506.5679970066
-9.898907785863006e-7
Results
31.0ms272×body256valid
Compiler

Compiled 368 to 264 computations (28.3% saved)

regimes53.0ms (0.7%)

Counts
10 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

50.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch66.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
0.03205143804039169
1.4195365991169964
21.0ms
-183506.5679970066
-9.898907785863006e-7
Results
61.0ms272×body256valid
Compiler

Compiled 340 to 243 computations (28.5% saved)

regimes19.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
(copysign.f64 (log1p.f64 (-.f64 -1 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (/.f64 1 x) (log.f64 x)) x)
Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 57 to 36 computations (36.8% saved)

bsearch50.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
0.03205143804039169
1.4195365991169964
36.0ms
-183506.5679970066
-9.898907785863006e-7
Results
46.0ms272×body256valid
Compiler

Compiled 238 to 158 computations (33.6% saved)

regimes14.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
11.7b3x
Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch40.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
0.03205143804039169
1.4195365991169964
23.0ms
-183506.5679970066
-9.898907785863006e-7
Results
37.0ms272×body256valid
Compiler

Compiled 228 to 148 computations (35.1% saved)

regimes8.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
22.5b2x
Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
-183506.5679970066
-9.898907785863006e-7
Results
22.0ms160×body256valid
Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -5.1b remaining (-19.3%)

Threshold costs -5.1b (-19.3%)

Counts
2 → 2
Calls
Call 1
Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
26.2b2x
Compiler

Compiled 10 to 5 computations (50% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
1.4195365991169964
6.813842129612222
Results
22.0ms96×body256valid
Compiler

Compiled 83 to 54 computations (34.9% saved)

simplify60.0ms (0.8%)

Algorithm
egg-herbie
Rules
56×+-commutative
38×sub-neg
30×*-commutative
22×neg-sub0
20×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113889
1141889
2177889
3205889
4226889
5232889
6234889
7235889
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x))
(if (<=.f64 x -1/4) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x))
(if (<=.f64 x -8669969714643489/9223372036854775808) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5404319552844595/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 889460926405673/562949953421312) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -10) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) x)))) x))
(if (<=.f64 x -1/4) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (-.f64 x (-.f64 1 (hypot.f64 1 x)))) x))
(if (<=.f64 x -1/4) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -8669969714643489/9223372036854775808) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -8669969714643489/9223372036854775808) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 8854437155380585/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5404319552844595/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 1/2 x) (*.f64 x x)))))) x))
(if (<=.f64 x -5404319552844595/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 -1 (/.f64 (+.f64 x 1/2) (*.f64 x x)))))) x))
(if (<=.f64 x -5404319552844595/18014398509481984) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (+.f64 -1 (/.f64 (-.f64 -1/2 x) (*.f64 x x)))))) x))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (-.f64 (*.f64 x -1/2) (/.f64 2 x))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (log1p.f64 (-.f64 x (/.f64 x (+.f64 (*.f64 x -1/2) (/.f64 -2 x))))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x x))) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5674535530486825/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5674535530486825/4503599627370496) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 889460926405673/562949953421312) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)
Compiler

Compiled 340 to 227 computations (33.2% saved)

soundness911.0ms (12.6%)

Algorithm
13×egg-herbie
Rules
1676×associate-/r*
1676×associate-/r*
1676×associate-/r*
1328×fma-def
1328×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04646546
112416196
246186184
04646546
112416196
246186184
060613324
1179611650
01233
11827
21927
02272492
15972214
221991982
02272492
15972214
221991982
02272492
15972214
221991982
02272492
15972214
221991982
02272492
15972214
221991982
080717522
1257216600
080717522
1257216600
067717497
1197115749
04646546
112416196
246186184
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
node limit
node limit
node limit
Compiler

Compiled 1191 to 783 computations (34.3% saved)

end246.0ms (3.4%)

Compiler

Compiled 328 to 198 computations (39.6% saved)

Profiling

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