Details

Time bar (total: 5.2s)

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)

sample2.2s (42.5%)

Results
1.3s4100×body1024valid
395.0ms2075×body512valid
260.0ms1630×body256valid
255.0ms451×body2048valid
Bogosity

preprocess12.0ms (0.2%)

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 (0.4%)

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
58.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize18.0ms (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))
✓5.3b
(-.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))

rewrite87.0ms (1.7%)

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 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(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 1 (fma.f64 x x 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 (*.f64 x x) (-.f64 x 1))))))) (#(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 (*.f64 x x)))) (sqrt.f64 (-.f64 1 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 1 (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 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(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 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (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 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (-.f64 1 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 #<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 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(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 hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))))

simplify115.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1202×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112019433
257159425
Stop Event
1×node limit
Counts
201 → 315
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 (*.f64 -1/16 (pow.f64 x 3)) 1)))
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)))))
(+.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)))))
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(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))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.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 (*.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)))
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)))
(+.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 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.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 (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 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (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 x 1)) (-.f64 (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 (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))))
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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 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))))
(/.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 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))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))

eval153.0ms (2.9%)

Compiler

Compiled 7416 to 5633 computations (24% saved)

prune49.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3114315
Fresh000
Picked011
Done000
Total3115316
Error
0b
Counts
316 → 5
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))))
▶59.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.3b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.6b
x
Compiler

Compiled 45 to 34 computations (24.4% saved)

localize46.0ms (0.9%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/8 (pow.f64 x 3))
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/8 (pow.f64 x 3))
0.0ms
x
@0
(*.f64 1/8 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/8 (pow.f64 x 3))

rewrite48.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1236×add-sqr-sqrt
1204×*-un-lft-identity
1142×add-cube-cbrt
1134×add-cbrt-cube
1116×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2159513
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))))))

simplify46.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1680×distribute-rgt-in
1656×distribute-lft-in
1018×associate-*r*
950×associate-+r+
928×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
197209
2368143
32474143
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 x 1/2) 3)
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 1/8 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 2)
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 x 1/2) 3)
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/64))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/8))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 3)) 1))
(+.f64 (pow.f64 (*.f64 x 1/2) 3) 0)
(*.f64 1/8 (pow.f64 x 3))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1 x))
✓5.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series1.0ms (0%)

Counts
1 → 6
Calls

3 calls:

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

rewrite106.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1306×associate-*r/
1050×*-commutative
1002×associate-*l/
902×distribute-lft-in
392×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
124425
2330725
Stop Event
1×node limit
Counts
1 → 134
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 x 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (neg.f64 (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (*.f64 x -1/2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 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simplify133.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1142×associate-+l-
1044×associate--r+
1038×associate-*r/
882×associate-+r-
560×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03829710
111429228
248448752
Stop Event
1×node limit
Counts
140 → 236
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) x)))
(*.f64 1/2 x)
(*.f64 1/2 x)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 (neg.f64 x)) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (neg.f64 (*.f64 x -1/2)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (*.f64 x -1/2) -1) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 x 1/2) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
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(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))) 1)) (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 -1)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 -1 (*.f64 x -1/2)) 3))) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 (*.f64 x -1/2))) (*.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) 3) 1)) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))) (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 -1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))) (neg.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (-.f64 (+.f64 1 x) (*.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 (*.f64 x -1/2)))) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))) 1) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 -1 (*.f64 x -1/2)) 3)) 1) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 (*.f64 x -1/2))) (*.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))) (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 -1))))
(/.f64 (*.f64 (neg.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) 1) (neg.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2)) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (pow.f64 (fma.f64 x -1/2 1) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (+.f64 1 (+.f64 x (pow.f64 (fma.f64 x -1/2 1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (pow.f64 (fma.f64 x -1/2 1) 2)) (*.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 3))) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) 3)) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 3)) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (-.f64 -1 (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 -1 (*.f64 x -1/2)))
Outputs
x
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) x)
(fma.f64 -1/8 (*.f64 x x) x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) x))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) x)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (-.f64 -1 (*.f64 x -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 (neg.f64 x)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (neg.f64 (*.f64 x -1/2)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (*.f64 x -1/2) -1) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 x)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 x 1/2) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (neg.f64 (sqrt.f64 (*.f64 x -1/2)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (*.f64 2 (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(fma.f64 2 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(fma.f64 2 (*.f64 x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))
(+.f64 (*.f64 x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)) (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1)) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))
(+.f64 (*.f64 x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))
(+.f64 (*.f64 x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1)) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))
(+.f64 (*.f64 x 0) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (*.f64 1 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 -1 (fma.f64 (-.f64 -1 (*.f64 x -1/2)) 1 (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1)))) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (fma.f64 (neg.f64 (*.f64 x -1/2)) 1 (*.f64 x -1/2)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (fma.f64 1/2 x (*.f64 x -1/2)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (fma.f64 (neg.f64 x) -1/2 (*.f64 x -1/2)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 x -1/2)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 x -1/2)) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
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(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (-.f64 (fma.f64 (neg.f64 (*.f64 x -1/2)) 1 (*.f64 x -1/2)) 1))
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(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (-.f64 (fma.f64 1/2 x (*.f64 x -1/2)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (*.f64 x 0)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2)) (-.f64 (fma.f64 (neg.f64 x) -1/2 (*.f64 x -1/2)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (fma.f64 x 1/2 -1) (fma.f64 (fma.f64 x 1/2 -1) 1 (fma.f64 x -1/2 1))))
(+.f64 (+.f64 (+.f64 -1 (*.f64 x 0)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
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(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (fma.f64 x -1/2 1) 4)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x (+.f64 (pow.f64 (fma.f64 x -1/2 1) 2) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (pow.f64 (fma.f64 x -1/2 1) 2)) (*.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 2) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (fma.f64 x -1/2 1) 4)) (*.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2) (pow.f64 (fma.f64 x -1/2 1) 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2) (pow.f64 (fma.f64 x -1/2 1) 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (*.f64 (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 3))) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (*.f64 (+.f64 1 (+.f64 x (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (*.f64 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) 3)) (/.f64 1 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (+.f64 (pow.f64 (+.f64 1 x) 3) (+.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 3)) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) 3)) (*.f64 (+.f64 1 (+.f64 x (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) 3)) (*.f64 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (fma.f64 x -1/2 1) 3) 3)) (+.f64 (pow.f64 (+.f64 x 1) 3) (fma.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3) (pow.f64 (fma.f64 x -1/2 1) 6)))) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))
(*.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(/.f64 (+.f64 (-.f64 -1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (-.f64 (fma.f64 x 1/2 -1) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(*.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(/.f64 (+.f64 (-.f64 -1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (-.f64 (fma.f64 x 1/2 -1) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (+.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(*.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(/.f64 (+.f64 (-.f64 -1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (-.f64 (fma.f64 x 1/2 -1) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 1 (+.f64 x (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))) (sqrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 1 (+.f64 x (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))) (cbrt.f64 (+.f64 (+.f64 1 x) (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 1 (+.f64 x (*.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x 1)))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 2))
(fabs.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1)) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 x 1/2))))
(expm1.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x 1/2))))
(expm1.f64 (log.f64 (fma.f64 x 1/2 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 x -1/2 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (-.f64 -1 (*.f64 x -1/2)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x 1/2 -1))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (-.f64 -1 (*.f64 x -1/2)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (fma.f64 x 1/2 -1))
(+.f64 (fma.f64 x 1/2 -1) (pow.f64 (+.f64 x 1) 1/2))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 -1 (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (fma.f64 x 1/2 -1))

localize51.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series3.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
1.0ms
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))))

rewrite158.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1720×associate-/r*
1308×associate-/l*
984×associate-/r/
328×associate-+l+
282×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01277
126865
2410965
Stop Event
1×node limit
Counts
3 → 358
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
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simplify156.0ms (3%)

Algorithm
1×egg-herbie
Rules
1350×associate-/r*
1232×associate-*r*
1182×associate-*l*
996×distribute-lft-in
904×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083421968
1241421098
Stop Event
1×node limit
Counts
370 → 669
Calls
Call 1
Inputs
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 -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)))))
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 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (*.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (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 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 1/2 (/.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))) 0) 0)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
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(*.f64 (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(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)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.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))
(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)) (neg.f64 (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))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 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))
(+.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))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) (*.f64 1/16 (pow.f64 x 3)))
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)))))
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 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(-.f64 0 (+.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 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.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 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x (-.f64 1 (-.f64 1 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 x 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 x x))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (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 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.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 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
0
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1/2 (pow.f64 x 3)))))
(*.f64 -1 (+.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 (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (neg.f64 (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 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 0) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
0
(*.f64 (/.f64 1 0) (*.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
0
(*.f64 (/.f64 1 (-.f64 (+.f64 x (-.f64 2 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 (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 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1) (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2) (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) x))
(/.f64 (/.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2) 2) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 1) (/.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.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 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) 2) (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (sqrt.f64 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x) (/.f64 (+.f64 x x) 2))
(*.f64 (/.f64 (+.f64 x x) (/.f64 1 (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 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 1 (*.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1/2 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 x x) -1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 x x) -1))
(*.f64 (/.f64 (+.f64 x x) 0) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
0
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0
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(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 x (/.f64 (*.f64 4 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (+.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 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (*.f64 2 (neg.f64 x)) (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 x x) (-.f64 1 (+.f64 1 (+.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(*.f64 (*.f64 x x) (/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 4)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0) (*.f64 (*.f64 x x) 0)))
(*.f64 (pow.f64 x 4) (/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (pow.f64 x 6) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 x 4) (*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 6)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (cbrt.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (neg.f64 x) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 x (/.f64 -2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 -1 (neg.f64 (+.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 x (-.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 2 (-.f64 x 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 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x (-.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 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (-.f64 1 (+.f64 1 (+.f64 x x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (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 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (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 (sqrt.f64 (+.f64 1 x)) (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))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

eval514.0ms (9.9%)

Compiler

Compiled 28021 to 20757 computations (25.9% saved)

prune214.0ms (4.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New106021062
Fresh011
Picked011
Done123
Total106161067
Error
0b
Counts
1067 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1)))
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.3b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
✓59.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.6b
x
Compiler

Compiled 64 to 47 computations (26.6% saved)

localize11.0ms (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)

series1.0ms (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
@0
(/.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))))

rewrite62.0ms (1.2%)

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))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4))) (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -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 (1.1%)

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 32 computations (30.4% saved)

series3.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite76.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1532×associate-/l*
1434×associate-/r*
312×add-sqr-sqrt
300×pow1
300×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01362
129762
2438962
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x -1/2 1) (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/2 1))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (/.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (fma.f64 x -1/2 -1) (*.f64 x x))) (-.f64 (/.f64 1 (fma.f64 x -1/2 -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 (*.f64 x -1/2)) (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) 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simplify92.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1280×distribute-lft-in
1146×distribute-rgt-in
1134×associate-/r/
946×*-commutative
632×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02695314
16884826
229874648
Stop Event
1×node limit
Counts
108 → 174
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 -1/2 x)
(*.f64 -1/2 x)
x
(+.f64 (*.f64 1/16 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) x))
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 3/128 (pow.f64 x 5)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) x)))
-4
-4
(-.f64 (fma.f64 x -1/2 1) (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (fma.f64 x -1/2 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/2 1))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (/.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(-.f64 (/.f64 1/4 (/.f64 (fma.f64 x -1/2 -1) (*.f64 x x))) (-.f64 (/.f64 1 (fma.f64 x -1/2 -1)) (sqrt.f64 (+.f64 x 1))))
(-.f64 (+.f64 (+.f64 2 (*.f64 x -1/2)) (sqrt.f64 (+.f64 x 1))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (fma.f64 x -1/2 1)))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1/4 (/.f64 (fma.f64 x -1/2 -1) (*.f64 x x)))) (/.f64 1 (fma.f64 x -1/2 -1)))
(-.f64 (+.f64 (fma.f64 x -1/2 1) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 1)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))))
(/.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) (/.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (/.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))))
(/.f64 (sqrt.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (sqrt.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))) (/.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2)))) (cbrt.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (cbrt.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (neg.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x -1/2 1) 2) (+.f64 x 1)) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2))) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2))) (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 x -1/2)) 1))))
(/.f64 (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(/.f64 (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(/.f64 (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) (+.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (pow.f64 (+.f64 x 1) 1/4))) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (fma.f64 x -1/2 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 1) (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (*.f64 (cbrt.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))))) (cbrt.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))
(fma.f64 1 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (sqrt.f64 (fma.f64 x -1/2 1)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (fma.f64 x -1/2 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (cbrt.f64 (fma.f64 x -1/2 1)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (fma.f64 x -1/2 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))) 1)
(*.f64 1 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 (+.f64 x x) (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (+.f64 x x) (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) 2))
(*.f64 (pow.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) 2) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (+.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(*.f64 (/.f64 x (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 2)) (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) 2)
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x x)) -1)
(neg.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(sqrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
Outputs
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(fma.f64 -1/8 (*.f64 x x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 2 (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
x
(+.f64 (*.f64 1/16 (pow.f64 x 3)) x)
(fma.f64 1/16 (pow.f64 x 3) x)
(+.f64 (*.f64 1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) x))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 -1/32 (pow.f64 x 4) x))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/32 x))
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(fma.f64 1/16 (pow.f64 x 3) (fma.f64 3/128 (pow.f64 x 5) (fma.f64 -1/32 (pow.f64 x 4) x)))
(fma.f64 1/16 (pow.f64 x 3) (fma.f64 3/128 (pow.f64 x 5) (fma.f64 (pow.f64 x 4) -1/32 x)))
-4
-4
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(*.f64 2 (*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) (+.f64 x x))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)))
(*.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) 2) (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (*.f64 2 (/.f64 x (cbrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))) (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 2 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (/.f64 (+.f64 x (-.f64 1 (pow.f64 (fma.f64 x -1/2 1) 2))) 2)) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (*.f64 (/.f64 x (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2))) 2))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (*.f64 2 (/.f64 x (-.f64 (+.f64 x 1) (pow.f64 (fma.f64 x -1/2 1) 2)))))
(*.f64 2 (/.f64 x (/.f64 (+.f64 1 (-.f64 x (pow.f64 (fma.f64 x -1/2 1) 2))) (-.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 2)) (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (+.f64 (+.f64 x 1) (*.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 2)))
(*.f64 (fma.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)) (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (*.f64 2 (fma.f64 (fma.f64 x -1/2 1) (-.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) (+.f64 x 1))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) (/.f64 x (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 1)
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) 2)
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))) 2)) 3)
(pow.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))) 2) 3)
(/.f64 (pow.f64 x 3) (/.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) 8))
(*.f64 (/.f64 (pow.f64 x 3) (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))) 8)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 3) 1/3)
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) (+.f64 x x)) -1)
(/.f64 1 (*.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) (+.f64 x x)))
(/.f64 (/.f64 1 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 x x))
(neg.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))
(/.f64 (*.f64 (+.f64 x x) -1) (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))) -2)
(sqrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 2)))
(sqrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) 2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)))) 3))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1)) 3)))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1))) 3) x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))) 1))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1/2 1))))))
(*.f64 2 (/.f64 x (+.f64 (fma.f64 x -1/2 1) (sqrt.f64 (+.f64 x 1)))))

eval190.0ms (3.7%)

Compiler

Compiled 6310 to 4687 computations (25.7% saved)

prune39.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3001301
Fresh011
Picked011
Done044
Total3007307
Error
0b
Counts
307 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.6b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1)))
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.3b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
✓59.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.3b
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
0.6b
x
Compiler

Compiled 75 to 55 computations (26.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 31 to 22 computations (29% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
900×*-commutative
730×associate-*r/
628×unswap-sqr
562×swap-sqr
530×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
121048
2249948
Stop Event
1×node limit
Counts
2 → 122
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (sqrt.f64 x)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))))) 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simplify91.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1528×associate-/r/
1450×unswap-sqr
756×distribute-rgt-in
756×distribute-lft-in
676×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03805590
19695344
238595344
Stop Event
1×node limit
Counts
146 → 232
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
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1
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(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/16) 4) (*.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2))
(pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (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))
(+.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) (/.f64 64 (pow.f64 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) (/.f64 64 (pow.f64 x 3))) (/.f64 512 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 64 (pow.f64 x 3)))
(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 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.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) (/.f64 64 (pow.f64 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) (/.f64 64 (pow.f64 x 3))) (/.f64 512 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 64 (pow.f64 x 3)))
(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 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.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))))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(fma.f64 1/8 (*.f64 x x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/64 (pow.f64 x 4))))
(+.f64 (fma.f64 1/8 (*.f64 x x) 1) (*.f64 1/64 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/64 (pow.f64 x 4) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 1/64 (pow.f64 x 4)) (*.f64 1/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/8 (*.f64 x x) 1) (fma.f64 1/64 (pow.f64 x 4) (*.f64 1/512 (pow.f64 x 6))))
(/.f64 -8 (pow.f64 x 2))
(/.f64 -8 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))) (/.f64 4096 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6))) (/.f64 -4096 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -4096 (pow.f64 x 8))))
(/.f64 -8 (pow.f64 x 2))
(/.f64 -8 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 512 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 64 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x))) (/.f64 512 (pow.f64 x 6))) (/.f64 4096 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (/.f64 -512 (pow.f64 x 6))) (/.f64 -4096 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -4096 (pow.f64 x 8))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) -1)
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))) 1)
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 (/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) 1)
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 1 (/.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 x)) 1))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 1 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) (*.f64 x -2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) 1/2) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 2 x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (sqrt.f64 (*.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (fma.f64 x (*.f64 x -1/4) 2)) (sqrt.f64 (*.f64 x 2)))
(/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (sqrt.f64 (*.f64 x 2))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (fma.f64 (*.f64 x x) -1/4 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 (*.f64 2 x))) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (cbrt.f64 (*.f64 2 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 x 2))) (fma.f64 x (*.f64 x -1/4) 2)) (cbrt.f64 (*.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 x 2))) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (cbrt.f64 (*.f64 x 2)) (*.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (fma.f64 (*.f64 x x) -1/4 2)) (cbrt.f64 (*.f64 x 2))))
(/.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) 1/2) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)) (sqrt.f64 x)))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))) x)
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)))
(/.f64 x (/.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2)) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))) 2))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 1/2)
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x 1/4) -2) -1/2))
(/.f64 (*.f64 x -2) (+.f64 -2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 x (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2))
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(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 2 (cbrt.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 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 2 (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 2 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 2))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 2)) 2))
(*.f64 -1 (/.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2)))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) -2)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (/.f64 2 (+.f64 (*.f64 (pow.f64 x 4) 1/16) -4)) (+.f64 (*.f64 x (*.f64 x -1/4)) -2))
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 4) 1/16 -4)) (fma.f64 x (*.f64 x -1/4) -2))
(/.f64 (+.f64 -4 (*.f64 (*.f64 x x) -1/2)) (fma.f64 (pow.f64 x 4) 1/16 -4))
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (*.f64 x (*.f64 x -1/4)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/16) 4) (*.f64 2 (*.f64 x (*.f64 x -1/4)))))
(*.f64 (/.f64 2 (+.f64 8 (pow.f64 (*.f64 (*.f64 x x) -1/4) 3))) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 -2 (*.f64 (*.f64 x x) -1/4))))
(*.f64 (/.f64 2 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (-.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)))
(/.f64 2 (/.f64 (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2)))) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3/2))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/6))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2) (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1/2))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 2)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) 1/2) -1)
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 (*.f64 x x) -1/4 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) 3))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 2 (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))

eval111.0ms (2.1%)

Compiler

Compiled 4682 to 3527 computations (24.7% saved)

prune32.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2311232
Fresh011
Picked101
Done145
Total2336239
Error
0b
Counts
239 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.6b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1)))
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
0.5b
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
✓59.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.6b
x
Compiler

Compiled 64 to 48 computations (25% saved)

regimes36.0ms (0.7%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)
(-.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 -1/2 x) 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x 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:

29.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
5.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 99 to 69 computations (30.3% saved)

regimes9.0ms (0.2%)

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

2 calls:

5.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.4b remaining (-72.8%)

Threshold costs -0.4b (-72.8%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
136102
240102
342102
443102
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 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(/.f64 -2 (/.f64 (+.f64 -2 (*.f64 (*.f64 x x) 1/4)) x))
x
Compiler

Compiled 40 to 28 computations (30% saved)

soundness81.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1202×+-commutative
1000×associate-+l-
966×associate-+r-
918×associate--r+
528×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112019433
257159425
Stop Event
1×node limit
Compiler

Compiled 72 to 48 computations (33.3% saved)

end35.0ms (0.7%)

Compiler

Compiled 37 to 24 computations (35.1% saved)

Profiling

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