Details

Time bar (total: 8.2s)

analyze0.0ms (0%)

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

Compiled 17 to 13 computations (23.5% saved)

sample2.4s (28.5%)

Results
1.5s4147×body1024valid
484.0ms2057×body512valid
243.0ms1610×body256valid
144.0ms442×body2048valid
Bogosity

preprocess35.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
92×fma-def
52×associate--r+
48×associate-+l-
46×+-commutative
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22427
33827
45327
58027
614527
719427
824127
928627
1031027
1131227
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
92×fma-def
52×associate--r+
48×associate-+l-
46×+-commutative
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22427
33827
45327
58027
614527
719427
824127
928627
1031027
1131227
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
57.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶57.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1 x))
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓5.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series7.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 x))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1 x))

rewrite122.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1450×associate-*r/
1222×associate-*l/
936×*-commutative
788×associate-/r*
484×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
121349
2291649
Stop Event
1×node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (+.f64 1 x))
(sqrt.f64 (-.f64 1 x))
Outputs
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) 1) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change 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(cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))))

simplify135.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1208×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112029433
257159425
Stop Event
1×node limit
Counts
201 → 316
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
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(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))))
(pow.f64 (-.f64 1 x) 1/2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))

eval194.0ms (2.4%)

Compiler

Compiled 7466 to 5669 computations (24.1% saved)

prune55.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3115316
Fresh000
Picked011
Done000
Total3116317
Error
0b
Counts
317 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.0b
(/.f64 (*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
✓57.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.8b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
▶0.0b
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
1.3b
x
Compiler

Compiled 81 to 60 computations (25.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.0b
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
0.0b
(sqrt.f64 (-.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1 x))
Compiler

Compiled 55 to 39 computations (29.1% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
1.0ms
x
@-inf
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
0.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
0.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

rewrite125.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1802×associate-/r*
1004×associate-/l*
392×associate-+l+
298×add-sqr-sqrt
288×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01366
129054
2433554
Stop Event
1×node limit
Counts
2 → 353
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
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((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))))

simplify186.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1658×associate-/l*
1304×associate-/r*
928×associate-/l/
634×associate-/r/
580×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077822769
1196522253
Stop Event
1×node limit
Counts
361 → 649
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (+.f64 (*.f64 (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) (-.f64 1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 1 (/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x 0)) (*.f64 2 (pow.f64 x 3))))
(/.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(/.f64 x (/.f64 (+.f64 x x) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
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(/.f64 (*.f64 (cbrt.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)))
(/.f64 4 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) 2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) 2)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (/.f64 -1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))) (/.f64 -1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (-.f64 1 (+.f64 x (+.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 x x) x) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) 2) (*.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2) (*.f64 x (+.f64 x x)))
(/.f64 (/.f64 (+.f64 x x) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 0) (/.f64 1 0))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x 0)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 2)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 2)) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 4) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) 2)) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 1 x) (+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))
(/.f64 (/.f64 1 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (/.f64 1 (*.f64 (+.f64 x x) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 1 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 1 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(/.f64 (/.f64 (+.f64 x x) -1) (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (/.f64 (+.f64 x x) (*.f64 (+.f64 x x) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) 1) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.f64 2 (*.f64 x (*.f64 x -1/4)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
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(/.f64 (+.f64 x x) (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (/.f64 (+.f64 x x) 2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 2 (/.f64 2 x)) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 x x) (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)))) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (+.f64 x x) (*.f64 (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 2 (/.f64 x x))) (/.f64 2 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1))
(/.f64 (+.f64 x x) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (neg.f64 (*.f64 x -2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2)))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) 1) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 x x) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -2)))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2)))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (sqrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (cbrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (*.f64 (cbrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 (-.f64 2 x) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))

localize9.0ms (0.1%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 x))
✓0.0b
(*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(*.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 113 to 73 computations (35.4% saved)

series3.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite95.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1774×distribute-lft-in
828×associate-/r*
480×associate-/r/
410×associate-+l+
376×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281
126381
2382381
Stop Event
1×node limit
Counts
3 → 243
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (*.f64 (+.f64 x 1) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (*.f64 (neg.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (-.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (*.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify130.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1404×associate-+r+
964×associate-/l*
856×+-commutative
706×associate-/l/
672×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059010265
115889915
273879589
Stop Event
1×node limit
Counts
263 → 340
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -9/4 (pow.f64 x 2)) (*.f64 11/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -9/4 (pow.f64 x 2)) (+.f64 (*.f64 11/64 (pow.f64 x 4)) (*.f64 19/512 (pow.f64 x 6)))))
(+.f64 x (+.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(+.f64 x (+.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(+.f64 1 (+.f64 x (*.f64 (+.f64 x 1) (neg.f64 x))))
(+.f64 1 (+.f64 x (*.f64 (neg.f64 x) (+.f64 x 1))))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) x)))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (-.f64 1 x) x)))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 x (-.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (-.f64 1 x))))
(+.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (neg.f64 x)))
(+.f64 (+.f64 x 1) (*.f64 (neg.f64 x) (+.f64 x 1)))
(+.f64 (+.f64 x 1) (*.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(+.f64 (+.f64 x 1) (*.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(+.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1)))
(+.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) x))
(+.f64 (-.f64 1 x) (*.f64 x (-.f64 1 x)))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 (-.f64 1 x) x)))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 x (-.f64 1 x))))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (-.f64 1 x) x)))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 x (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (+.f64 x 1))
(+.f64 (*.f64 (-.f64 1 x) x) (-.f64 1 x))
(+.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (+.f64 x 1))
(+.f64 (*.f64 x (-.f64 1 x)) (-.f64 1 x))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) 1) (neg.f64 x))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) (neg.f64 x)) 1)
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) 1) (neg.f64 x))
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) (neg.f64 x)) 1)
(+.f64 (*.f64 1 (*.f64 (-.f64 1 x) x)) (-.f64 1 x))
(+.f64 (*.f64 1 (*.f64 x (-.f64 1 x))) (-.f64 1 x))
(-.f64 1 (-.f64 x (*.f64 (-.f64 1 x) x)))
(-.f64 1 (-.f64 x (*.f64 x (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (-.f64 1 x) x)))
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 x (-.f64 1 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (-.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (-.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 (-.f64 1 x) x)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 x (-.f64 1 x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) x)))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 x (-.f64 1 x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 (+.f64 (*.f64 (-.f64 1 x) x) 1) x)
(-.f64 (+.f64 (*.f64 x (-.f64 1 x)) 1) x)
(-.f64 (+.f64 (*.f64 (-.f64 1 x) x) (exp.f64 (log.f64 (-.f64 2 x)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1 x) x) (/.f64 1 (+.f64 x 1))) (/.f64 (*.f64 x x) (+.f64 x 1)))
(-.f64 (+.f64 (*.f64 (-.f64 1 x) x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 (*.f64 x (-.f64 1 x)) (exp.f64 (log.f64 (-.f64 2 x)))) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 x 1))) (/.f64 (*.f64 x x) (+.f64 x 1)))
(-.f64 (+.f64 (*.f64 x (-.f64 1 x)) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(/.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (/.f64 1 (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (-.f64 1 x)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) (-.f64 1 (*.f64 x x))))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 x)))
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(/.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (-.f64 1 x))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2)) 3) (pow.f64 (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (*.f64 (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (*.f64 (-.f64 1 x) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2))))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 x x)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 x x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 x x)) (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x 1) (-.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x 1) (-.f64 1 x))) (+.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (-.f64 1 x))) 1) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (-.f64 1 x))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (+.f64 x 1) (-.f64 1 x))) (*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(pow.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(fma.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) (-.f64 1 x)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 x 1/2 (fma.f64 1/16 (pow.f64 x 3) 1)))
2
(+.f64 2 (*.f64 -9/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) -9/4))
(fma.f64 (*.f64 x x) -9/4 2)
(+.f64 2 (+.f64 (*.f64 -9/4 (pow.f64 x 2)) (*.f64 11/64 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -9/4 (*.f64 x x) (*.f64 11/64 (pow.f64 x 4))))
(+.f64 2 (fma.f64 (*.f64 x x) -9/4 (*.f64 11/64 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -9/4 (pow.f64 x 2)) (+.f64 (*.f64 11/64 (pow.f64 x 4)) (*.f64 19/512 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -9/4 (*.f64 x x) (fma.f64 11/64 (pow.f64 x 4) (*.f64 19/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) -9/4 2) (fma.f64 11/64 (pow.f64 x 4) (*.f64 19/512 (pow.f64 x 6))))
(+.f64 x (+.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(+.f64 x (+.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 x (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 x (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (neg.f64 x)))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 x 1) (*.f64 (neg.f64 x) (+.f64 x 1)))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 x 1) (*.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 x 1) (*.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 x 1) (*.f64 (+.f64 x 1) (*.f64 (neg.f64 x) 1)))
(-.f64 1 (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) x))
(-.f64 1 (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 x (-.f64 1 x)))
(-.f64 1 (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (+.f64 x 1))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 (-.f64 1 x) x) (-.f64 1 x))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (+.f64 x 1))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 x (-.f64 1 x)) (-.f64 1 x))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) 1) (neg.f64 x))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 (-.f64 1 x) x) (neg.f64 x)) 1)
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) 1) (neg.f64 x))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) 1) (*.f64 (neg.f64 x) 1))
(-.f64 1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x (-.f64 1 x)) (neg.f64 x)) 1)
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 1 (*.f64 (-.f64 1 x) x)) (-.f64 1 x))
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 1 (*.f64 x (-.f64 1 x))) (-.f64 1 x))
(-.f64 1 (*.f64 x x))
(-.f64 1 (-.f64 x (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(-.f64 1 (-.f64 x (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (-.f64 1 x) x)))
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 x (-.f64 1 x))))
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (-.f64 1 (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 1 (*.f64 x x))
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (-.f64 1 (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 (-.f64 1 x) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (/.f64 (+.f64 1 x) x))) (*.f64 x (-.f64 1 x)))
(fma.f64 x (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (*.f64 x (-.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (/.f64 (+.f64 1 x) x))) (*.f64 x (-.f64 1 x)))
(fma.f64 x (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) (*.f64 x (-.f64 1 x)))
(fma.f64 x (-.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 x (-.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))) (*.f64 x (-.f64 1 x)))
(fma.f64 x (-.f64 1 x) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 x 1) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 -1 x)) (+.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (+.f64 1 x))))
(-.f64 (/.f64 x (/.f64 (+.f64 -1 x) x)) (+.f64 (/.f64 1 (+.f64 -1 x)) (fma.f64 x x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (neg.f64 x) (+.f64 x 1))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 -1 x)) (+.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (+.f64 1 x))))
(-.f64 (/.f64 x (/.f64 (+.f64 -1 x) x)) (+.f64 (/.f64 1 (+.f64 -1 x)) (fma.f64 x x x)))
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(*.f64 (-.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) 3)))
(*.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 1) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 x) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(fma.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (+.f64 1 x) (+.f64 (pow.f64 (-.f64 1 x) 3/2) (*.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 1 x) (fma.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) 3/2)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) (-.f64 1 x)) (*.f64 (+.f64 x 1) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (+.f64 1 x) (+.f64 (pow.f64 (-.f64 1 x) 3/2) (*.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 1 x) (fma.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) 3/2)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite108.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1706×associate-/r*
1288×associate-/l*
1000×associate-/r/
328×associate-+l+
282×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
126854
2410854
Stop Event
1×node limit
Counts
2 → 332
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
Outputs
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(cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))))))

simplify150.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1566×associate-/l*
1306×associate-/r*
1208×associate-*r*
1046×associate-*l*
908×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078321778
1234920722
Stop Event
1×node limit
Counts
340 → 610
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.f64 2 (*.f64 x (*.f64 x -1/4)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
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(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
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(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (neg.f64 x)))
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(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (*.f64 (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 1 (*.f64 (+.f64 x x) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1) x)
(/.f64 1/2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 x) 1))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) 1) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (sqrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))) (cbrt.f64 (-.f64 (-.f64 2 x) (-.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) x))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
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(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))

eval1.0s (12.3%)

Compiler

Compiled 55623 to 39440 computations (29.1% saved)

prune508.0ms (6.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New192131924
Fresh011
Picked011
Done314
Total192461930
Error
0b
Counts
1930 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.8b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
▶0.2b
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
✓57.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.8b
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
1.3b
x
Compiler

Compiled 66 to 48 computations (27.3% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
✓0.0b
(/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Compiler

Compiled 45 to 30 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
1.0ms
x
@inf
(/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@0
(/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@-inf
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
0.0ms
x
@0
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))

rewrite91.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1674×associate-*l/
704×distribute-rgt-in
664×distribute-lft-in
652×associate-/r*
640×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
126448
2353348
Stop Event
1×node limit
Counts
2 → 270
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
Outputs
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simplify132.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1600×associate-/l*
1082×associate-*r*
1036×associate-*l*
960×*-commutative
888×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073814796
1233813942
Stop Event
1×node limit
Counts
294 → 497
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 1/1024 (pow.f64 x 6)))))
(/.f64 -4 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -4 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (neg.f64 (*.f64 x (*.f64 x -1/4)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 -1 (*.f64 x (*.f64 x -1/4)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 x) (*.f64 x -1/4))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x -1/4)) x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/4))) (*.f64 x (sqrt.f64 -1/4)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/4))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x x)) -1/4)))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) 4) (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4))))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4))) (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) 4))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (neg.f64 (*.f64 x (*.f64 x -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x -1/4)) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (*.f64 x -1/4)) x) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/4))) (*.f64 x (sqrt.f64 -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/4)))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) -1/4) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(+.f64 (*.f64 4 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4)) (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))))
(+.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4)) (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (*.f64 4 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 -1 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) -1)
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(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) 1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) 1) (-.f64 -2 (*.f64 x (*.f64 x -1/4))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) -1) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4))))) (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (/.f64 2 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x)) 3)
(pow.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (*.f64 (+.f64 x x) (/.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3))))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(fma.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(fma.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) x (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
Outputs
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/16 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x 1/16)))
(+.f64 1/2 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/16))))
(+.f64 1/2 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 1/1024 (pow.f64 x 6)))))
(+.f64 1/2 (fma.f64 1/128 (pow.f64 x 4) (fma.f64 1/16 (*.f64 x x) (*.f64 1/1024 (pow.f64 x 6)))))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))))
(neg.f64 (+.f64 (*.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))) (/.f64 2048 (pow.f64 x 8))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 256 (pow.f64 x 6))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2048 (pow.f64 x 8)))))
(/.f64 -4 (pow.f64 x 2))
(/.f64 -4 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 4 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))))
(neg.f64 (+.f64 (*.f64 2048 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 256 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 256 (pow.f64 x 6)))) (/.f64 2048 (pow.f64 x 8))))
(neg.f64 (+.f64 (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 256 (pow.f64 x 6))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2048 (pow.f64 x 8)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x))) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 7)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))) (/.f64 512 (pow.f64 x 5))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x))) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 7)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5)))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))) (/.f64 512 (pow.f64 x 5))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (neg.f64 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 -1 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 x) (*.f64 x -1/4))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x -1/4)) x)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/4))) (*.f64 x (sqrt.f64 -1/4)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 (neg.f64 x) (sqrt.f64 -1/4)))))
(*.f64 (/.f64 -1 (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 (sqrt.f64 -1/4) (*.f64 (neg.f64 x) (sqrt.f64 -1/4))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/4))))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)))))
(*.f64 (/.f64 -1 (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2) (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4)))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) 2) (*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 (neg.f64 (*.f64 x x)) -1/4)))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) 4) (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4))))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 -1/4 (+.f64 x x)))))
(/.f64 (neg.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 -1/2 x)))) (+.f64 -8 (*.f64 1/64 (pow.f64 x 6))))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 (+.f64 x x) -1/4))) (*.f64 (/.f64 1 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) 4))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 x 6)))) (+.f64 4 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 -1/4 (+.f64 x x)))))
(/.f64 (neg.f64 (+.f64 4 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (*.f64 -1/2 x)))) (+.f64 -8 (*.f64 1/64 (pow.f64 x 6))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (neg.f64 (*.f64 x (*.f64 x -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x -1/4)) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (*.f64 x -1/4)) x) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) -2) (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 -1/4))) (*.f64 x (sqrt.f64 -1/4))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 (neg.f64 x) (sqrt.f64 -1/4)))))
(*.f64 (/.f64 -1 (+.f64 -4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 x (*.f64 (sqrt.f64 -1/4) (*.f64 (neg.f64 x) (sqrt.f64 -1/4))))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)) (cbrt.f64 (*.f64 x (*.f64 x -1/4)))) (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (+.f64 2 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) 2)))))
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(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) 1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
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(/.f64 2 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) 1) (-.f64 -2 (*.f64 x (*.f64 x -1/4))))
(/.f64 (neg.f64 (+.f64 x x)) (-.f64 -2 (*.f64 x (*.f64 x -1/4))))
(/.f64 (*.f64 x -2) (+.f64 (*.f64 (*.f64 x x) 1/4) -2))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (*.f64 x -2) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(/.f64 (*.f64 x -2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) -1) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) -1))
(/.f64 (*.f64 x -2) (*.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4))))) (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))) (sqrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4))))))
(/.f64 (*.f64 x -2) (*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -2)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (/.f64 (/.f64 (neg.f64 (+.f64 x x)) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4))))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4))))) (cbrt.f64 (-.f64 -2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (/.f64 (*.f64 x -2) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -2))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) -2))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (*.f64 x -2) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(/.f64 (*.f64 x -2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2))))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(/.f64 (+.f64 x x) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(pow.f64 (/.f64 2 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x)) 2)
(pow.f64 (/.f64 2 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x)) 3)
(/.f64 (*.f64 (+.f64 x x) (pow.f64 (*.f64 (/.f64 2 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) x) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 8 (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) x) 3))
(pow.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) x)))
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(sqrt.f64 (*.f64 2 (*.f64 x (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) x)))
(cbrt.f64 (*.f64 (+.f64 x x) (/.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3))))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2))
(fma.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(fma.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) x (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(fma.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 1 x))
✓0.0b
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.2b
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Compiler

Compiled 51 to 38 computations (25.5% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite85.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1208×associate-/l*
1044×associate-/r/
1018×distribute-lft-in
512×associate-/l/
320×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01372
129072
2406960
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change 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simplify112.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1276×associate-+r+
1040×+-commutative
952×associate-+l-
792×associate-+r-
708×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04339163
111898247
252948171
Stop Event
1×node limit
Counts
173 → 257
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -21/512 (pow.f64 x 5)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)))
(*.f64 -1 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(*.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 x)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (*.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -21/512 (pow.f64 x 5)))))
(fma.f64 -1/4 x (+.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 (pow.f64 x 5) -21/512)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (fma.f64 (pow.f64 x 5) -21/512 (/.f64 2 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 0 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (*.f64 0 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 0 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 0 (sqrt.f64 (-.f64 1 x)))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (pow.f64 (-.f64 1 x) 1/2))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (*.f64 0 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (*.f64 0 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2)))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 x))) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 1 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 0 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
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(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(+.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 1 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (*.f64 (/.f64 1 x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (*.f64 (/.f64 1 x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 -1 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (*.f64 (/.f64 1 x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (cbrt.f64 x)))
(/.f64 (/.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(*.f64 (/.f64 (*.f64 (+.f64 x x) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 x (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) (-.f64 2 x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (+.f64 (+.f64 x x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))) x)) (fma.f64 2 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 1))) x)) (fma.f64 2 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 x)) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (*.f64 (+.f64 x 1) (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 3))) (fma.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) (+.f64 x 1))) (pow.f64 (+.f64 x 1) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 3))) (fma.f64 (-.f64 1 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (-.f64 1 (+.f64 (fma.f64 2 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) 1)) (pow.f64 (+.f64 x 1) 2)))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 3)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3) 1/3)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 2))
(fabs.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(log.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 x 3)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(exp.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) 1))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Compiler

Compiled 33 to 20 computations (39.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1248×associate-*r/
1110×associate-/l*
1036×*-commutative
964×associate-/r*
932×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
122627
2320121
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 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-1/4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))))

simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1494×associate-/r/
1244×times-frac
776×associate-*r*
712×associate-*l*
662×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0191707
1586683
21292683
35445683
Stop Event
1×node limit
Counts
71 → 86
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(*.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(*.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4))) (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (neg.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 0 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
(*.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(*.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(*.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 0 (*.f64 0 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
(pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)
(neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))
(cbrt.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 3)))) (/.f64 -4096 (pow.f64 x 7)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -8 x) (/.f64 4096 (pow.f64 x 7))) (/.f64 -512 (pow.f64 x 5))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 3))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.f64 -64 (pow.f64 x 3)))) (/.f64 -4096 (pow.f64 x 7)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -8 x) (/.f64 4096 (pow.f64 x 7))) (/.f64 -512 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)
0
(*.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
0
(*.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
0
(*.f64 (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4))) (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))))
0
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
0
(*.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
0
(*.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0
(*.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
0
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)
0
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (neg.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 0 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
0
(*.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
0
(*.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
0
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(*.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 0 (*.f64 0 (*.f64 x x)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))
0
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))
0
(pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)
0
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
0
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
0
(pow.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
0
(pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)
0
(neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))
0
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(sqrt.f64 0)
(log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))
0
(cbrt.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3))
0
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))
0

eval374.0ms (4.5%)

Compiler

Compiled 20886 to 15274 computations (26.9% saved)

prune174.0ms (2.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New9494953
Fresh011
Picked011
Done044
Total94910959
Error
0b
Counts
959 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.8b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
▶29.7b
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
✓0.2b
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
▶1.4b
(/.f64 2 (/.f64 2 x))
▶0.7b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
▶0.9b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
✓57.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.8b
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
1.3b
x
Compiler

Compiled 119 to 89 computations (25.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
✓0.2b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@0
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@inf
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@inf
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1382×associate-*r/
1006×*-commutative
850×associate-*l/
678×associate-/r*
520×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
124236
2302336
Stop Event
1×node limit
Counts
2 → 153
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
Outputs
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expm1.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/4 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/4 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (*.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/4 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/4 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (*.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (*.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 x)) 2) (cbrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))))))

simplify109.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1146×unswap-sqr
662×+-commutative
478×associate-*r*
450×*-commutative
442×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04229706
112189080
252268992
Stop Event
1×node limit
Counts
168 → 258
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 2 x)
(*.f64 -1/4 x)
(*.f64 -1/4 x)
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 -2 (/.f64 1 x) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (neg.f64 (/.f64 2 x))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (/.f64 -2 x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 2 (neg.f64 (/.f64 1 x)))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x))))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (cbrt.f64 (/.f64 2 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))))
(+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/4 x) 2)) (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x)))))
(+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x)))) (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/4 x) 2)))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (/.f64 -2 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (*.f64 2 (neg.f64 (/.f64 1 x))) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x)))) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 2 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2))) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (*.f64 (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x))) (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))))
(+.f64 (*.f64 (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x))) (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (*.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (+.f64 (*.f64 -1/4 x) (/.f64 -2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))))
(*.f64 (/.f64 1 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(*.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x)))) (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))))
(*.f64 -2 (/.f64 -1 (fma.f64 -1/4 x (/.f64 2 x))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x)))) (/.f64 2 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2)) (/.f64 2 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 -2 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (*.f64 2 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (+.f64 (*.f64 -1/4 x) (/.f64 -2 x)))
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x)))))
(*.f64 (/.f64 -1 (fma.f64 -1/4 x (/.f64 2 x))) -2)
(*.f64 (/.f64 2 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (neg.f64 (+.f64 (*.f64 -1/4 x) (/.f64 -2 x))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(*.f64 (/.f64 2 (-.f64 (/.f64 (/.f64 4 x) x) (pow.f64 (*.f64 -1/4 x) 2))) (-.f64 (/.f64 2 x) (*.f64 -1/4 x)))
(*.f64 (/.f64 -2 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (+.f64 (*.f64 -1/4 x) (/.f64 -2 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (sqrt.f64 (+.f64 (*.f64 -1/4 x) (/.f64 -2 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (cbrt.f64 (+.f64 (*.f64 -1/4 x) (/.f64 -2 x))))
(pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2)))
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(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 x)) 2) (cbrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3)) (/.f64 512 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3)) (/.f64 -512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -4096 (pow.f64 x 7))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3)) (/.f64 512 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -8 x) (pow.f64 (/.f64 4 x) 3)) (/.f64 -512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -4096 (pow.f64 x 7))))
(/.f64 2 x)
(*.f64 -1/4 x)
(*.f64 x -1/4)
(*.f64 -1/4 x)
(*.f64 x -1/4)
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) 2 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (/.f64 2 x)) 1 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 -2 (/.f64 1 x) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (/.f64 2 (fma.f64 -1/4 x (/.f64 2 x))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 2 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x)))) (+.f64 (/.f64 2 x) (/.f64 -2 x)) (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))))
(+.f64 (/.f64 2 (fma.f64 x -1/4 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x))))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (neg.f64 (/.f64 2 x))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (/.f64 -2 x)))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 2 (neg.f64 (/.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x))))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/4 x)) (*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (cbrt.f64 (/.f64 2 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/4 x) 2)) (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x)))))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (/.f64 -1/2 x))) (pow.f64 (*.f64 x -1/4) 2)))
(*.f64 -2 (/.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 x (/.f64 -1/2 x)))) (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))))
(*.f64 -2 (/.f64 (+.f64 (/.f64 (/.f64 -4 x) x) (+.f64 (*.f64 (*.f64 x x) -1/16) (*.f64 x (/.f64 -1/2 x)))) (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/2 x)))) (*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/4 x) 2)))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (/.f64 -1/2 x))) (pow.f64 (*.f64 x -1/4) 2)))
(*.f64 -2 (/.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 x (/.f64 -1/2 x)))) (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))))
(*.f64 -2 (/.f64 (+.f64 (/.f64 (/.f64 -4 x) x) (+.f64 (*.f64 (*.f64 x x) -1/16) (*.f64 x (/.f64 -1/2 x)))) (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3)))))
(+.f64 (*.f64 (*.f64 -1/4 x) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (neg.f64 (/.f64 2 x)) (/.f64 2 (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (/.f64 (/.f64 4 x) x)))))
(*.f64 (/.f64 2 (-.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x)))) (fma.f64 -1/4 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 -4 (*.f64 x x))))
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(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)) (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (*.f64 x -1/4)))) (-.f64 (sqrt.f64 (*.f64 x -1/4)) (sqrt.f64 (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x))) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (/.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 x 1/2) x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x))) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (/.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 x 1/2) x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/4 x) 2) (*.f64 x (/.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x -1/4) 2) (/.f64 4 (*.f64 x x))) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (/.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/16) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 x 1/2) x))))
(pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 1)
(fma.f64 x -1/4 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 2)
(fma.f64 x -1/4 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 -1/4 x (/.f64 2 x))) 3)
(fma.f64 x -1/4 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 3) 1/3)
(fma.f64 x -1/4 (/.f64 2 x))
(sqrt.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 (/.f64 2 x)) 2))
(fabs.f64 (fma.f64 x -1/4 (/.f64 2 x)))
(log.f64 (exp.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 x (/.f64 2 x)))))
(fma.f64 x -1/4 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 x (/.f64 2 x)) 3))
(fma.f64 x -1/4 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 x (/.f64 2 x))))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/4 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 -1/4 x (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/4 x) (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/4 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/4 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 x -1/4 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/4 x)) 2) (cbrt.f64 (*.f64 -1/4 x)) (/.f64 2 x))
(fma.f64 x -1/4 (/.f64 2 x))

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
✓0.0b
(+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))
✓0.1b
(*.f64 -5/64 (pow.f64 x 3))
✓0.2b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
Compiler

Compiled 69 to 55 computations (20.3% saved)

series3.0ms (0%)

Counts
4 → 21
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -5/64 (pow.f64 x 3))
0.0ms
x
@inf
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
0.0ms
x
@-inf
(*.f64 -5/64 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -5/64 (pow.f64 x 3))
0.0ms
x
@inf
(+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))

rewrite110.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1238×distribute-lft-in
956×associate-/r*
480×associate-/r/
426×associate-/l*
352×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01698
136398
2455898
Stop Event
1×node limit
Counts
4 → 208
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(*.f64 -5/64 (pow.f64 x 3))
(+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
Outputs
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simplify108.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1108×associate-*r*
866×associate-*l*
670×*-commutative
550×associate-/l*
542×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058615153
1178714523
Stop Event
1×node limit
Counts
229 → 333
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 3/256 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
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(/.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (/.f64 1 (/.f64 1 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (/.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)))) (/.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (neg.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (*.f64 1 (neg.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))) (*.f64 1 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/64) (*.f64 (pow.f64 x 3) -1/64)) (*.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (-.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (*.f64 (*.f64 x x) 1/16)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (*.f64 (*.f64 x x) 1/16)) (*.f64 1 (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))
(/.f64 (-.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (*.f64 (pow.f64 x -2) 4)) (-.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (*.f64 (pow.f64 x -2) 4)) (*.f64 1 (-.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (*.f64 x x) 1/16)) (*.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))) (*.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (+.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/64) 3) (pow.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/64) (*.f64 (pow.f64 x 3) -1/64)) (-.f64 (*.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (*.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3))))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) 3)) (+.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x)))))
(/.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) 3)) (*.f64 1 (+.f64 (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3)))) (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (fma.f64 -1/4 x (*.f64 -5/64 (pow.f64 x 3))) (/.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/16) 3) (pow.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) 3)) (*.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (+.f64 (*.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (*.f64 x x) 1/16)) (+.f64 (*.f64 (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (*.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) 1) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (sqrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (sqrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))) (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (+.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (-.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(exp.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 1 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 1 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))
(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (cbrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 3/256 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 3/256 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (+.f64 (/.f64 128/5 (pow.f64 x 3)) (/.f64 114688/125 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 3145728/625 (pow.f64 x 9))) (+.f64 (/.f64 128/5 (pow.f64 x 3)) (/.f64 114688/125 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 2048/25 (pow.f64 x 5)) (-.f64 (/.f64 3145728/625 (pow.f64 x 9)) (/.f64 114688/125 (pow.f64 x 7)))) (/.f64 -128/5 (pow.f64 x 3)))
(/.f64 -128/5 (pow.f64 x 3))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 128/5 (pow.f64 x 3)))
(+.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2048/25 (pow.f64 x 5)) (+.f64 (/.f64 128/5 (pow.f64 x 3)) (/.f64 114688/125 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 2048/25 (pow.f64 x 5)) (/.f64 114688/125 (pow.f64 x 7))) (/.f64 -128/5 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2048/25 (/.f64 1 (pow.f64 x 5))) (*.f64 3145728/625 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 114688/125 (/.f64 1 (pow.f64 x 7))) (*.f64 128/5 (/.f64 1 (pow.f64 x 3)))))
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(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) 1) (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/16)) (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 2)) (-.f64 (*.f64 x -1/4) (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (sqrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (sqrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/16)) (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 2)) (-.f64 (*.f64 x -1/4) (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))) (cbrt.f64 (-.f64 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/16)) (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 2)) (-.f64 (*.f64 x -1/4) (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/16) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 2)) (+.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))) (-.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/16)) (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 2)) (*.f64 (-.f64 (sqrt.f64 (*.f64 x -1/4)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))) (+.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))) (sqrt.f64 (*.f64 x -1/4)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/16)) (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))) (sqrt.f64 (*.f64 x -1/4))) (-.f64 (sqrt.f64 (*.f64 x -1/4)) (sqrt.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 1/4 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 x 1/4)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 1/4 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 x 1/4)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/64) (pow.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/16) (*.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (-.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 1/4 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/64 (pow.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) 3)) (fma.f64 (*.f64 x x) 1/16 (*.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (+.f64 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)) (*.f64 x 1/4)))))
(pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 1)
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 2)
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 3)
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(pow.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3) 1/3)
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))) 2))
(fabs.f64 (fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x))))
(log.f64 (exp.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))))))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 3))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(exp.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))) 1))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 -1/4 x (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 1 (*.f64 -1/4 x) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 1 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)) (*.f64 -1/4 x))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (*.f64 -1/4 x)) (sqrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (sqrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (cbrt.f64 (*.f64 -1/4 x)) (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (cbrt.f64 (*.f64 x -1/4)) (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -5/64 (pow.f64 x 3) (/.f64 2 x))) (*.f64 -1/4 x))
(+.f64 (*.f64 (pow.f64 x 3) -5/64) (fma.f64 -1/4 x (/.f64 2 x)))
(fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) -5/64 (/.f64 2 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 2 (/.f64 2 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1104×add-sqr-sqrt
1080×*-un-lft-identity
1030×pow1
1018×add-cube-cbrt
1010×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11351
214671
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

simplify39.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1414×associate-/r/
964×associate-+r+
932×associate-+l+
820×distribute-lft-in
766×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04733
19733
267133
3254233
Stop Event
1×node limit
Counts
33 → 22
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
(*.f64 2 (*.f64 x 1/2))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (*.f64 x 1/2) 2)
(*.f64 -2 (/.f64 1 (/.f64 -2 x)))
(*.f64 -1 (neg.f64 x))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (/.f64 1 x) -1)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 2 (*.f64 x 1/2))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (*.f64 x 1/2) 2)
x
(*.f64 -2 (/.f64 1 (/.f64 -2 x)))
x
(*.f64 -1 (neg.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (/.f64 1 x) -1)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))
✓0.2b
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
✓28.9b
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x))
Compiler

Compiled 60 to 31 computations (48.3% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))
1.0ms
x
@inf
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x))
1.0ms
x
@-inf
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x))
1.0ms
x
@0
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x))
0.0ms
x
@0
(*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))

rewrite114.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
756×distribute-rgt-in
718×distribute-lft-in
486×distribute-lft-neg-in
412×distribute-rgt-neg-in
312×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014123
131387
2474287
Stop Event
1×node limit
Counts
3 → 437
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x))
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
(*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))
Outputs
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(*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x -1/4) 2) x (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))

simplify107.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1190×*-commutative
1178×associate-/l*
716×fma-def
680×associate-*r/
580×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06773573
121603573
Stop Event
1×node limit
Counts
473 → 333
Calls
Call 1
Inputs
(/.f64 4 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 4 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x))
(+.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (+.f64 x x) 2) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 x -1/4))) (+.f64 (+.f64 x x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) x) (+.f64 (+.f64 x x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1))
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (neg.f64 x)))
(+.f64 (+.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(+.f64 (+.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (*.f64 x (*.f64 x -1/4)) x)) (+.f64 x x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))) 1)
(+.f64 (*.f64 2 (*.f64 x (*.f64 x (*.f64 x -1/4)))) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 2 (*.f64 (*.f64 x (*.f64 x -1/4)) x)) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (+.f64 x x))) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (+.f64 x x) x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (*.f64 x (*.f64 x -1/4)) 1)) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (+.f64 x x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 (+.f64 x x) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 (+.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) x) (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) x))
(+.f64 (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 x (+.f64 x x))) (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (+.f64 x x) x)) (*.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 1 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 1 (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (pow.f64 x -2) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (pow.f64 x -2) (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 (pow.f64 x -2) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 (pow.f64 x -2) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (/.f64 1 x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (/.f64 1 x) (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 (/.f64 1 x) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 -1 (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 -1 (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 -1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) x) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) x))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (+.f64 x x))) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (+.f64 x x) x)) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (+.f64 x x))) (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (+.f64 x x) x)) (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/4))) 2) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) x) 2) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (*.f64 (+.f64 x x) x) (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) 1) (+.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (+.f64 x x)) (*.f64 (*.f64 (+.f64 x x) 2) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (+.f64 x x)) (*.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (+.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 x (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (*.f64 x (+.f64 x x)) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) 1) (*.f64 (*.f64 (+.f64 x x) 2) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) 1) (*.f64 (*.f64 x (+.f64 x x)) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) 1))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 x -2)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 x x) 2) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (pow.f64 x -2)) (*.f64 (*.f64 x (+.f64 x x)) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (pow.f64 x -2)))
(+.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)))
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(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (/.f64 1 x) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (/.f64 1 x) (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 (/.f64 1 x) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 (/.f64 1 x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) x) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 x (+.f64 x x))) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 -1 (*.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 -1 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 -1 (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 -1 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) x) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) x))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (+.f64 x x))) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (+.f64 x x) x)) (*.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (+.f64 x x))) (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (+.f64 x x) x)) (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x -1/4))) 2) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) x) 2) (*.f64 (+.f64 x x) 2))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (*.f64 x (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (*.f64 (+.f64 x x) x) (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) 1) (+.f64 x x)) (*.f64 x (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (+.f64 x x)) (*.f64 (*.f64 (+.f64 x x) 2) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (+.f64 x x)) (*.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (+.f64 x x)) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (+.f64 x x)))
(+.f64 (*.f64 x (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 x (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (*.f64 x (+.f64 x x)) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) 1) (*.f64 (*.f64 (+.f64 x x) 2) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) 1) (*.f64 (*.f64 x (+.f64 x x)) 1))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) 1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) 1))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 x -2)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (pow.f64 x -2)) (*.f64 (*.f64 (+.f64 x x) 2) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (pow.f64 x -2)) (*.f64 (*.f64 x (+.f64 x x)) (pow.f64 x -2)))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (pow.f64 x -2)))
(+.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)))
(+.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)) (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)) (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 1)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 1 x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 1 x)))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) (/.f64 1 x)) (*.f64 (*.f64 (+.f64 x x) 2) (/.f64 1 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) (/.f64 1 x)) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 1 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (/.f64 1 x)) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) (/.f64 1 x)))
(+.f64 (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))) (*.f64 x (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 x x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))) (*.f64 (*.f64 (+.f64 x x) x) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/4) 2)))
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (neg.f64 x)) 1) (*.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (neg.f64 x)) 1))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) -1) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) -1))
(+.f64 (*.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4))) -1) (*.f64 (*.f64 (+.f64 x x) 2) -1))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x)) -1) (*.f64 (*.f64 x (+.f64 x x)) -1))
(+.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) -1) (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1) -1))
(+.f64 (*.f64 x (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))) (*.f64 x (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))) (*.f64 (*.f64 x (+.f64 x x)) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))) (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))))
(+.f64 (*.f64 (*.f64 x (+.f64 x x)) (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (*.f64 x (+.f64 x x)) (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(-.f64 0 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) 1)
(-.f64 (-.f64 0 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(-.f64 (-.f64 0 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (+.f64 x x) 2))
(-.f64 (-.f64 0 (*.f64 (*.f64 x (*.f64 x -1/4)) (+.f64 x x))) (*.f64 x (+.f64 x x)))
(-.f64 (-.f64 0 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1))
(/.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))
(/.f64 (+.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) x)
(/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (neg.f64 x))
(/.f64 1 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 1 (/.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 (*.f64 x x) (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 x (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -1 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0))
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0) 0)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1) x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1) (*.f64 x x))
(/.f64 (*.f64 2 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 3)) (+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0))))
(pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1)
(pow.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) -1)
(neg.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (+.f64 x x)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(fma.f64 x (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(fma.f64 (fma.f64 x (*.f64 x -1/4) 2) x (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
Outputs
(/.f64 4 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(/.f64 4 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(/.f64 4 x)
(+.f64 (*.f64 -1/2 x) (*.f64 4 (/.f64 1 x)))
(/.f64 4 x)
(*.f64 -1/2 x)
(/.f64 4 x)
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) (/.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 4 x)
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(/.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 4 x)
(/.f64 (pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 (*.f64 x x) (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(/.f64 (pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 x (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(/.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)
(/.f64 4 x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 4 x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 4 x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 4 x)
(/.f64 -1 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 4 x)
(/.f64 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))
(/.f64 4 x)
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0))
(/.f64 4 x)
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0) 0)
(/.f64 4 x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1) x)
(/.f64 4 x)
(/.f64 (/.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1) (*.f64 x x))
(/.f64 4 x)
(/.f64 (*.f64 2 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 3)) (+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 0))))
(/.f64 4 x)
(pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 1)
(/.f64 4 x)
(pow.f64 (*.f64 (+.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(/.f64 4 x)
(pow.f64 (*.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 4 x)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) 1/3)
(/.f64 4 x)
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) -1)
(/.f64 4 x)
(neg.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 4 x)
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))
(/.f64 4 x)
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x)))
(/.f64 4 x)
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))))
(/.f64 4 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(/.f64 4 x)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3))
(/.f64 4 x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (+.f64 x x)))
(/.f64 4 x)
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(/.f64 4 x)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) (pow.f64 (*.f64 x x) 3)))
(/.f64 4 x)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3) (pow.f64 x 3)))
(/.f64 4 x)
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(/.f64 4 x)
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 4 x)
(fma.f64 x (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 4 x)
(fma.f64 (fma.f64 x (*.f64 x -1/4) 2) x (*.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 4 x)

eval565.0ms (6.9%)

Compiler

Compiled 27209 to 20025 computations (26.4% saved)

prune183.0ms (2.2%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New9424946
Fresh011
Picked101
Done178
Total94412956
Error
0b
Counts
956 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
31.3b
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.8b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
29.7b
(/.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x)) (*.f64 x x)))
✓0.2b
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
✓1.4b
(/.f64 2 (/.f64 2 x))
0.9b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
✓0.7b
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
58.6b
(-.f64 (+.f64 1 x) 1)
✓57.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.8b
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
1.3b
x
Compiler

Compiled 142 to 107 computations (24.6% saved)

regimes16.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x)) (*.f64 x x)))
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(/.f64 (*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

9.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 222 to 155 computations (30.2% saved)

regimes13.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x)) (*.f64 x x)))
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Outputs
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Calls

2 calls:

7.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 164 to 116 computations (29.3% saved)

regimes14.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x)) (*.f64 x x)))
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
Calls

2 calls:

7.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.7b1x
0.7b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 151 to 106 computations (29.8% saved)

regimes9.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(/.f64 (+.f64 (*.f64 x -1/2) (/.f64 -4 x)) (+.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (/.f64 -4 x) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 4 (/.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 4 x)) (*.f64 x x)))
(/.f64 4 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) (*.f64 x x)))
Outputs
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 115 to 77 computations (33% saved)

regimes5.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Outputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 2 (/.f64 2 x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))))
Outputs
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes4.0ms (0%)

Accuracy

Total -57.3b remaining (-4472.6%)

Threshold costs -57.3b (-4472.6%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.3b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
12×*-commutative
4×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035221
150221
254221
356221
457221
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 (+.f64 (*.f64 x -1/4) (+.f64 (*.f64 -5/64 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 2 (*.f64 x (*.f64 x -1/4)))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(/.f64 2 (+.f64 (*.f64 -1/4 x) (/.f64 2 x)))
(/.f64 2 (+.f64 (*.f64 x -1/4) (/.f64 2 x)))
x
Compiler

Compiled 84 to 63 computations (25% saved)

soundness78.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1208×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112029433
257159425
Stop Event
1×node limit
Compiler

Compiled 72 to 48 computations (33.3% saved)

end48.0ms (0.6%)

Compiler

Compiled 78 to 55 computations (29.5% saved)

Profiling

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