Details

Time bar (total: 7.0s)

analyze0.0ms (0%)

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

Compiled 17 to 13 computations (23.5% saved)

sample2.4s (33.9%)

Results
1.4s4106×body1024valid
439.0ms2075×body512valid
303.0ms1631×body256valid
203.0ms444×body2048valid
Bogosity

preprocess23.0ms (0.3%)

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)

simplify21.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
57.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶57.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(sqrt.f64 (-.f64 1 x))
✓6.5b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series12.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
7.0ms
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)))
1.0ms
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))

rewrite88.0ms (1.3%)

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))))))))

simplify131.0ms (1.9%)

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))

eval144.0ms (2.1%)

Compiler

Compiled 7416 to 5633 computations (24% saved)

prune42.0ms (0.6%)

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))))
▶0.0b
(/.f64 (*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
✓57.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.5b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.9b
x
Compiler

Compiled 65 to 48 computations (26.2% saved)

localize7.0ms (0.1%)

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)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite47.0ms (0.7%)

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))))))))

simplify43.0ms (0.6%)

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))

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x)))
✓0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(sqrt.f64 (-.f64 1 x))
✓0.0b
(*.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 113 to 73 computations (35.4% saved)

series4.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1252×associate-/r/
1070×associate-/l*
364×add-sqr-sqrt
354×pow1
354×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01663
135549
2537949
Stop Event
1×node limit
Counts
3 → 167
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (+.f64 x 1))
(*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 x x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 x x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 x))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x x x) (exp.f64 (log.f64 (+.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x x x) (/.f64 1 (+.f64 x 1))) (/.f64 (*.f64 x x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x x x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 x x x) (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x x)) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x x)) (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 2) (pow.f64 (+.f64 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x -1)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 1)) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 x 1) 2) (sqrt.f64 (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)) (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 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simplify88.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1246×unswap-sqr
818×+-commutative
606×times-frac
584×associate-/l*
468×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04186533
111625613
249155317
Stop Event
1×node limit
Counts
195 → 282
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 3)))
(+.f64 x (+.f64 1 (fma.f64 x x x)))
(+.f64 1 (+.f64 x (fma.f64 x x x)))
(+.f64 (+.f64 x 1) (fma.f64 x x x))
(+.f64 (*.f64 x x) (+.f64 x (+.f64 x 1)))
(+.f64 (+.f64 1 (fma.f64 x x x)) x)
(+.f64 (fma.f64 x x x) (+.f64 x 1))
(+.f64 (+.f64 1 (+.f64 x x)) (*.f64 x x))
(+.f64 (+.f64 (fma.f64 x x x) x) 1)
(-.f64 1 (-.f64 x (fma.f64 x x x)))
(-.f64 (+.f64 1 (fma.f64 x x x)) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 x))) (+.f64 1 (fma.f64 x x x)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 (*.f64 x x) (+.f64 x 1)) (fma.f64 x x x)))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (fma.f64 x x x)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 x x x)))
(-.f64 (+.f64 (fma.f64 x x x) (exp.f64 (log.f64 (+.f64 2 x)))) 1)
(-.f64 (+.f64 (fma.f64 x x x) (/.f64 1 (+.f64 x 1))) (/.f64 (*.f64 x x) (+.f64 x 1)))
(-.f64 (+.f64 (fma.f64 x x x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 (fma.f64 x x x) (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 1 (+.f64 x -1)))
(/.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 1 (*.f64 x x)) 2)))
(/.f64 (+.f64 x 1) (/.f64 1 (+.f64 x 1)))
(/.f64 (+.f64 1 (*.f64 x x)) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(/.f64 (+.f64 1 (*.f64 x x)) (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 1 (*.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 1 (*.f64 x x)))))
(/.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 2) (pow.f64 (+.f64 x 1) 2))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))) (+.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x -1)) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 1)) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 x 1) 2) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)) (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)) (/.f64 (pow.f64 (+.f64 x 1) 2) (cbrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x 1)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 x 1)) (+.f64 x 1))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x -1)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (*.f64 x x))) (*.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x -1)) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 x x x))))
(pow.f64 (+.f64 x 1) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 2)))
(exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 2)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.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))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x))))
(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 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 x (+.f64 x (*.f64 (+.f64 x x) (*.f64 x x))))
(+.f64 x (+.f64 x (*.f64 (*.f64 x x) (+.f64 x x))))
(+.f64 0 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) (*.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (*.f64 x x) (+.f64 x x)))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 x 1 x) (*.f64 (+.f64 x x) (*.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (+.f64 x x) (*.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (+.f64 x x) (*.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 x 1 x) (*.f64 (*.f64 x x) (+.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (*.f64 (*.f64 x x) (+.f64 x x))))
(+.f64 (+.f64 x x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (*.f64 (*.f64 x x) (+.f64 x x))))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 (+.f64 1 (*.f64 x x)) x) (*.f64 (+.f64 1 (*.f64 x x)) x))
(+.f64 (*.f64 (*.f64 x x) (+.f64 x x)) (+.f64 x x))
(+.f64 (*.f64 x (+.f64 1 (*.f64 x x))) (*.f64 x (+.f64 1 (*.f64 x x))))
(-.f64 x (-.f64 x (*.f64 (+.f64 x x) (*.f64 x x))))
(-.f64 x (-.f64 x (*.f64 (*.f64 x x) (+.f64 x x))))
(-.f64 0 (-.f64 (+.f64 x x) (*.f64 (+.f64 x x) (*.f64 x x))))
(-.f64 0 (-.f64 (+.f64 x x) (*.f64 (*.f64 x x) (+.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) (-.f64 1 (*.f64 (+.f64 x x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) (-.f64 1 (*.f64 (*.f64 x x) (+.f64 x x))))
(-.f64 (/.f64 x (/.f64 (+.f64 x x) x)) (-.f64 (/.f64 x (/.f64 (+.f64 x x) x)) (*.f64 (+.f64 x x) (*.f64 x x))))
(-.f64 (/.f64 x (/.f64 (+.f64 x x) x)) (-.f64 (/.f64 x (/.f64 (+.f64 x x) x)) (*.f64 (*.f64 x x) (+.f64 x x))))
(/.f64 (+.f64 x x) (/.f64 1 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x x)))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (*.f64 (+.f64 x x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (+.f64 1 (*.f64 x x)) (+.f64 x x)))
(/.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) (*.f64 x (+.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)) (*.f64 x (+.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x x))) (+.f64 x x))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 x (+.f64 x x))))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (*.f64 x x))) (+.f64 x x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x x))) (fma.f64 x x (*.f64 x (+.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 x x)) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 x x)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 x x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 6))) (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 x (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (fma.f64 x x (*.f64 x (+.f64 x x)))))
(pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 x x))) (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (+.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
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(*.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 1 (/.f64 x (fma.f64 x x 1))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1)))
(/.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (*.f64 x (+.f64 x (+.f64 x x)))))
(*.f64 2 (*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (fma.f64 x x 1) (*.f64 3 (*.f64 x x)))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (fma.f64 x x 1))) (*.f64 x (+.f64 x (+.f64 x x))))
(*.f64 (fma.f64 x x 1) (/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (*.f64 x (+.f64 x (+.f64 x x)))))
(*.f64 2 (*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (fma.f64 x x 1) (*.f64 3 (*.f64 x x)))) (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 6)) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x (+.f64 x x)))) (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (*.f64 3 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (fma.f64 x x (+.f64 1 (pow.f64 x 4))))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)) (*.f64 x (+.f64 x x))))
(/.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6)))) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (+.f64 x x))
(*.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 1 (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 3))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 6)) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x (+.f64 x x)))) (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (*.f64 3 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(*.f64 2 (*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (fma.f64 x x (+.f64 1 (pow.f64 x 4))))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) 1)
(+.f64 x (pow.f64 x 3))
(/.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 x (+.f64 x x))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (fma.f64 x x 1))) (*.f64 x (+.f64 x (+.f64 x x))))
(*.f64 (fma.f64 x x 1) (/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3 (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (*.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) 1)
(+.f64 x (pow.f64 x 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 1 (*.f64 x x))) (fma.f64 x x (*.f64 x (+.f64 x x))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (fma.f64 x x 1))) (*.f64 x (+.f64 x (+.f64 x x))))
(*.f64 (fma.f64 x x 1) (/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 3 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 x x)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))) (+.f64 x x))
(*.f64 (+.f64 x x) (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)))
(*.f64 2 (*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 x x)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6))) (fma.f64 x x (+.f64 1 (pow.f64 x 4))))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (+.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 1 (/.f64 x (fma.f64 x x 1))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (*.f64 x (+.f64 x x)) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 x x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6)))) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (+.f64 x x))
(*.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 1 (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (*.f64 x (+.f64 x (+.f64 x x)))))
(*.f64 2 (*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (fma.f64 x x 1) (*.f64 3 (*.f64 x x)))) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 6))) (*.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 6)) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x (+.f64 x x)))) (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (*.f64 3 (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (+.f64 x x)) (+.f64 x x)) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 1 (/.f64 x (fma.f64 x x 1))))
(*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (fma.f64 x x 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 1 (*.f64 x x)) (fma.f64 x x (*.f64 x (+.f64 x x)))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (*.f64 x (+.f64 x (+.f64 x x)))))
(*.f64 2 (*.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (*.f64 (fma.f64 x x 1) (*.f64 3 (*.f64 x x)))) (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (+.f64 x x)))
(/.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 6)))) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (+.f64 x x))
(*.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 1 (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 x (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (fma.f64 x x (*.f64 x (+.f64 x x)))))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x (*.f64 x (+.f64 x x)))) (/.f64 (-.f64 1 (pow.f64 x 6)) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 x (+.f64 x (+.f64 x x)))) (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) (*.f64 3 (*.f64 x x))))
(pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 1)
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) 2)
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))) 3)
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 3) 1/3)
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 2))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (*.f64 x x))) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))))))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x))) 3))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 1 (*.f64 x x)) 3)))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 3) (pow.f64 (+.f64 x x) 3)))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (+.f64 x x))))
(*.f64 (+.f64 x x) (exp.f64 (log1p.f64 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (+.f64 x x))) 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (+.f64 x x))))
(*.f64 (+.f64 x x) (exp.f64 (log1p.f64 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x x) (+.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))
(*.f64 2 (+.f64 x (pow.f64 x 3)))

localize18.0ms (0.3%)

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)

series6.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite270.0ms (3.9%)

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
01266
126854
2410954
Stop Event
1×node limit
Counts
2 → 332
Calls
Call 1
Inputs
(+.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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 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simplify195.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1582×associate-/l*
1348×associate-/r*
1088×associate-*r*
1044×associate-*l*
888×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078221668
1231620700
Stop Event
1×node limit
Counts
340 → 589
Calls
Call 1
Inputs
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 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))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (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)))
(*.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 (/.f64 1 0) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
(*.f64 (/.f64 1 0) (*.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.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 (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)))
(*.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))
(*.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 (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 (/.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 (/.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 (+.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 x x) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.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 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 x x) -1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) 0) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
(*.f64 (/.f64 (+.f64 x x) 0) (*.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (*.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 1 (*.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 0)
(*.f64 (/.f64 1 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (fma.f64 x x 0))
(*.f64 (/.f64 1 (-.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 1 (*.f64 (*.f64 2 (pow.f64 x 3)) 1)) (*.f64 (fma.f64 x x 0) (+.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 0)) (sqrt.f64 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x 0)))
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(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (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 2 (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.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 1 (+.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 1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 2)) (*.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 -1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (/.f64 2 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 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))
(*.f64 (/.f64 -1 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.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 -1 (+.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 -1 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 (+.f64 x x) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 2 (+.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))) (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 0)) (sqrt.f64 0))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3)))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 0 (+.f64 x x))) 0)
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x))) (fma.f64 x x 0))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (*.f64 2 (pow.f64 x 3)))) (fma.f64 x x 0))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (*.f64 2 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (-.f64 1 x) 2))) (+.f64 x (-.f64 2 x)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (*.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))) (*.f64 (+.f64 x -1) (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (fma.f64 x x x))) (*.f64 (+.f64 x -1) (-.f64 1 (pow.f64 x 3))))) (*.f64 (+.f64 x -1) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x 1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (*.f64 x x))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (pow.f64 x 3))))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 0 (*.f64 2 (pow.f64 x 3)))) (*.f64 0 (fma.f64 x x 0)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 2 (pow.f64 x 3)) 0)) (*.f64 (fma.f64 x x 0) 0))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (pow.f64 (+.f64 x 1) 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 (/.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 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 (/.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) 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 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 (/.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 (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 (/.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 (*.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 (/.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 (/.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 (/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) 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 -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 (/.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
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.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))))
(+.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 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.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 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) (sqrt.f64 (-.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (+.f64 (sqrt.f64 (-.f64 1 x)) -1))
(-.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 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (exp.f64 (log1p.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 x 1)) (sqrt.f64 (-.f64 1 x)))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 x 1) (-.f64 1 x)))
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(*.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x x (-.f64 1 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 (pow.f64 x 3) 1)) (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 (pow.f64 x 3) 1)) (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x)))))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 0 (*.f64 2 (pow.f64 x 3)))) (*.f64 0 (fma.f64 x x 0)))
0
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 2 (pow.f64 x 3)) 0)) (*.f64 (fma.f64 x x 0) 0))
0
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (+.f64 (pow.f64 (+.f64 x 1) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (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 (neg.f64 (-.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 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 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 (-.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 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 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 x 1))) (/.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) (-.f64 (-.f64 1 x) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(*.f64 x (*.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 x (/.f64 (*.f64 4 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) (-.f64 1 x)))) (/.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 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (/.f64 2 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) x)))
(*.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))))))
(neg.f64 (*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))))
(*.f64 (-.f64 (neg.f64 x) (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (/.f64 2 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) x)))
(*.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 x 1))) (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 x 1)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) (/.f64 2 (/.f64 (-.f64 (-.f64 1 x) (+.f64 x 1)) 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 x 1) (-.f64 1 x))))) (/.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)))))
(/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (sqrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))
(*.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 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 x x)) (pow.f64 x 4))
(*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 4)) (-.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1)) (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 x 1)) (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 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))
(/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) (-.f64 1 x))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))))
(*.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 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 x (/.f64 -2 (+.f64 (sqrt.f64 (+.f64 x 1)) (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 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 -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 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (+.f64 x (-.f64 2 (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 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 x 1))) (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) (/.f64 -1 (-.f64 (-.f64 1 x) (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (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))))

eval807.0ms (11.5%)

Compiler

Compiled 31787 to 21782 computations (31.5% saved)

prune229.0ms (3.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New108321085
Fresh011
Picked011
Done123
Total108461090
Error
0b
Counts
1090 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.5b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
▶0.2b
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) (/.f64 (+.f64 x x) 2)))
✓57.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.5b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.9b
x
Compiler

Compiled 68 to 47 computations (30.9% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 84 to 54 computations (35.7% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite77.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1514×distribute-lft-in
350×add-sqr-sqrt
338×pow1
338×*-un-lft-identity
332×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
134127
2549527
Stop Event
1×node limit
Counts
1 → 134
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) (/.f64 (+.f64 x x) 2))
Outputs
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simplify87.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1606×associate-*r/
1482×associate-*l/
580×+-commutative
542×associate-+r-
530×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266448
18675702
245355484
Stop Event
1×node limit
Counts
138 → 227
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 x (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(+.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(+.f64 (-.f64 0 (/.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 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(+.f64 (*.f64 1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 (+.f64 x x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x x) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 -1 (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x 1)) (*.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 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x 1)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (-.f64 1 x))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x)))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (+.f64 x x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (+.f64 x x))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) x)))
(+.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 -1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 -1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 -1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (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 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 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(-.f64 (-.f64 0 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.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 1 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(/.f64 1 (/.f64 2 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x)))
(/.f64 1 (*.f64 (+.f64 x x) (/.f64 x (+.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))))
(/.f64 (+.f64 x x) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(/.f64 (+.f64 x x) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -2))
(/.f64 (+.f64 x x) (*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (+.f64 x x) (*.f64 -2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (+.f64 x x) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (+.f64 x x) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(/.f64 (+.f64 x x) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2))
(/.f64 (+.f64 x x) (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(/.f64 (+.f64 x x) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2)
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (+.f64 x x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (+.f64 x x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x -2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 x) (+.f64 x x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 x) 2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 x) -2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 -2 (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (neg.f64 x)))
(/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 0 (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 0))
(/.f64 0 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 x (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 x x 0)))
(/.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))) 0) (*.f64 (neg.f64 x) 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 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (+.f64 0 (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.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 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) -2))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -1 (neg.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 0) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 2 (pow.f64 x 3))) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) x))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 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)
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(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 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (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))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.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) (fma.f64 -1/4 (*.f64 x 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)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 -21/512 (pow.f64 x 6)))
(+.f64 (fma.f64 -21/512 (pow.f64 x 6) (*.f64 (*.f64 -1/4 x) x)) (fma.f64 -5/64 (pow.f64 x 4) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (-.f64 x (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x))))
(*.f64 (+.f64 (+.f64 (-.f64 1 x) (+.f64 x -1)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x))))
(*.f64 (+.f64 (+.f64 (-.f64 1 x) (+.f64 x -1)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x))))
(*.f64 (+.f64 (+.f64 (-.f64 1 x) (+.f64 x -1)) 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 x x)) (+.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 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (*.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 0 (/.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 (neg.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 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (*.f64 1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 1 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 1 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 1))) (*.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (*.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (-.f64 x 1) x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) (*.f64 (+.f64 x x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (+.f64 x x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (*.f64 x 4)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x x) (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 2 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (+.f64 x x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (*.f64 x 4)))
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(*.f64 x (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x -2))
(+.f64 (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (+.f64 x x) (neg.f64 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 x x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(*.f64 x (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -2))
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(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 x) -2))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x (*.f64 x -2)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 -2 (neg.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2) x)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (/.f64 x (cbrt.f64 (+.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)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 0 (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 0))
0
(/.f64 0 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))
0
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 x (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 x x 0)))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (/.f64 (pow.f64 x 3) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 x 3))
(/.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))) 0) (*.f64 (neg.f64 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))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 x x)) (*.f64 2 (pow.f64 x 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (+.f64 0 (pow.f64 x 3)))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 x x 0)))
(*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (/.f64 (pow.f64 x 3) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 x 3))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (*.f64 (neg.f64 x) (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 x)) (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (neg.f64 (pow.f64 x 3))) (*.f64 2 (pow.f64 x 3)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 x x) (*.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 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)))
(*.f64 (/.f64 (*.f64 x 4) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (/.f64 (+.f64 x x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 1 (/.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 1 (/.f64 (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x x)) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) -2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x x))) -2)
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 -1 (/.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) (+.f64 (-.f64 -2 x) x)) x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 -1 (neg.f64 (/.f64 x (+.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)) (sqrt.f64 (-.f64 1 x))) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 -2 (-.f64 x (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))) (+.f64 (-.f64 -2 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 (/.f64 1 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 1 (+.f64 x (+.f64 x 1))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 1 (fma.f64 2 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 x -2) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 0) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 0))
0
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 2 (pow.f64 x 3))) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (fma.f64 x x 0)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0)))
(*.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (/.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 x x))) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 (+.f64 x x) (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 2 (*.f64 x (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 2 (*.f64 x (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) 1) (*.f64 (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (*.f64 x (-.f64 (+.f64 2 x) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) x) (-.f64 (+.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.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))
(fabs.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (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 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (*.f64 2 (*.f64 x (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 x 1) 1/2))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 33 to 16 computations (51.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1266×associate-*r/
1132×associate-/l*
1008×*-commutative
988×associate-/r*
934×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
122627
2327521
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))) (/.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 -1/4 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x 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 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x 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 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x 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 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))))) (#(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 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))))))

simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1310×associate-/l*
1138×associate-/r*
786×distribute-lft-in
740×distribute-rgt-in
562×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0191655
1590631
21286631
33718631
Stop Event
1×node limit
Counts
71 → 88
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 -1/4 (*.f64 x x) 2)))) 1)
(*.f64 0 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 0 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 0 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
(*.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(*.f64 1 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
(*.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))) (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 2)
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
(*.f64 (/.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)
(*.f64 (/.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
(pow.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(pow.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)) 1/3)
(pow.f64 (*.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) -1)
(neg.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)))
(log.f64 (exp.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))
(cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (log.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 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 1/512 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) 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))
(-.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 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(-.f64 (/.f64 -8 x) (-.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 -512 (pow.f64 x 5))))
(+.f64 (/.f64 -8 x) (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -8 x) (-.f64 (/.f64 64 (pow.f64 x 3)) (/.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 -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))
(-.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 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(-.f64 (/.f64 -8 x) (-.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 -512 (pow.f64 x 5))))
(+.f64 (/.f64 -8 x) (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7))))
(+.f64 (-.f64 (/.f64 -8 x) (-.f64 (/.f64 64 (pow.f64 x 3)) (/.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 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)
0
(*.f64 0 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
0
(*.f64 0 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))
0
(*.f64 0 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)))
0
(*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
0
(*.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
0
(*.f64 1 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
0
(*.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
0
(*.f64 (cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2))) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4)) (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))))
0
(*.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
0
(*.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))) (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))
0
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 2)
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(*.f64 (/.f64 1 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
0
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
0
(*.f64 (/.f64 0 (-.f64 4 (*.f64 1/16 (pow.f64 x 4)))) (*.f64 0 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))
0
(*.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
0
(*.f64 (/.f64 -1 (fma.f64 -1/4 (*.f64 x x) 2)) 0)
0
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
0
(*.f64 (/.f64 0 (neg.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (neg.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2))))
0
(*.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
0
(*.f64 (/.f64 0 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))
0
(*.f64 (/.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)
0
(*.f64 (/.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)) x)
(*.f64 x (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 x 2) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
0
(*.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(*.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (-.f64 (pow.f64 x 4) 0)) (*.f64 x x))
0
(*.f64 (/.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 0 (pow.f64 x 4)))
0
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) -1/2)))))
0
(*.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (-.f64 4 (*.f64 1/16 (pow.f64 x 4))))) (cbrt.f64 (+.f64 2 (*.f64 (*.f64 x x) 1/4))))
0
(pow.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
0
(pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 2)
0
(pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) 3)
0
(pow.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)) 1/3)
0
(pow.f64 (*.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)) -1)
0
(neg.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))
0
(sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 2)))
(sqrt.f64 0)
(log.f64 (exp.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2)))))
0
(cbrt.f64 (/.f64 0 (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
0
(expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(exp.f64 (log.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
0
(log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 -1/4 (*.f64 x x) 2))))
0

eval347.0ms (5%)

Compiler

Compiled 23432 to 15182 computations (35.2% saved)

prune178.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7993802
Fresh011
Picked011
Done134
Total8008808
Error
0b
Counts
808 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.5b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
▶0.6b
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x) (/.f64 (+.f64 x x) 2)))
▶0.2b
(/.f64 (+.f64 x x) (*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
✓57.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.5b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
▶0.5b
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
0.9b
x
Compiler

Compiled 95 to 65 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1960×add-sqr-sqrt
1930×*-un-lft-identity
1804×add-cube-cbrt
1786×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
120948
2248148
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 x) (fma.f64 -1/4 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) 1) (fma.f64 -1/4 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))))))

simplify71.0ms (1%)

Algorithm
1×egg-herbie
Rules
1210×associate-+l-
998×associate-+r-
960×associate-*r/
710×unswap-sqr
676×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701907
14091855
215981851
371351851
Stop Event
1×node limit
Counts
69 → 95
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)))))))
1
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/64 (pow.f64 x 4))))
(+.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 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(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 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)))))))
(/.f64 -8 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 4))) (*.f64 8 (/.f64 1 (pow.f64 x 2)))))
(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 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)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))) 1)
(/.f64 2 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2))
(/.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 2 x)))
(/.f64 (*.f64 2 x) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 (*.f64 x -2) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 -2 x) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (/.f64 (*.f64 2 x) 1) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)
(*.f64 2 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 2)
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2) -1)
(sqrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 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 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.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))))
(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 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7))))
(+.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 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.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 -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 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 -64 (pow.f64 x 3)) (/.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))))
(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 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))) (/.f64 4096 (pow.f64 x 7))))
(+.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 -8 x) (+.f64 (/.f64 -512 (pow.f64 x 5)) (/.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))
(fma.f64 x (*.f64 x 1/8) (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))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/64 (pow.f64 x 4) (fma.f64 1/512 (pow.f64 x 6) 1)))
(/.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 512 (pow.f64 x 6)) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (/.f64 -512 (pow.f64 x 6)) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -8 (*.f64 x x))))
(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 4096 (pow.f64 x 8)) (/.f64 512 (pow.f64 x 6))) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -512 (pow.f64 x 6)) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))) (/.f64 -4096 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -8 (*.f64 x x)))) (/.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 512 (pow.f64 x 6)) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (/.f64 -512 (pow.f64 x 6)) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x))))
(+.f64 (/.f64 -64 (pow.f64 x 4)) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -8 (*.f64 x x))))
(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 4096 (pow.f64 x 8)) (/.f64 512 (pow.f64 x 6))) (+.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 8 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -512 (pow.f64 x 6)) (+.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 -8 (*.f64 x x)))) (/.f64 -4096 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -64 (pow.f64 x 4)) (+.f64 (/.f64 -512 (pow.f64 x 6)) (/.f64 -8 (*.f64 x x)))) (/.f64 -4096 (pow.f64 x 8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))) 1)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 2 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 1 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 2 x)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (*.f64 2 x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (*.f64 x -2) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (*.f64 -2 x) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (/.f64 (*.f64 2 x) 1) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 2)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 3)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3) 1/3)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 1))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (*.f64 x 2) (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 x (*.f64 (fma.f64 (*.f64 x x) -1/4 2) 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))) 1)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 2 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 1 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2) (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) 2)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(pow.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) 1/2) -1)
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(sqrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) 3))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))) 1))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2))
(/.f64 2 (fma.f64 (*.f64 x x) -1/4 2))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 70 to 47 computations (32.9% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite74.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1704×associate-/r*
1078×associate-/l*
600×associate-/r/
376×associate-/l/
336×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
126239
2377739
Stop Event
1×node limit
Counts
1 → 90
Calls
Call 1
Inputs
(*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
Outputs
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simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
980×*-commutative
854×distribute-lft-in
808×distribute-rgt-in
556×div-sub
552×distribute-frac-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02754170
17113760
227633718
Stop Event
1×node limit
Counts
94 → 143
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 x (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x x))
(/.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) 1)))
(/.f64 (sqrt.f64 x) (/.f64 x (*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 x) 1)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (*.f64 (cbrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (neg.f64 x) x))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 x (sqrt.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (/.f64 x (cbrt.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (*.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 x (+.f64 x x)) (*.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (*.f64 x (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (neg.f64 x))
(/.f64 (/.f64 x 1) (/.f64 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))) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 x))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 x) 1))
(/.f64 (*.f64 (sqrt.f64 x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (*.f64 (sqrt.f64 x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))
(/.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 x))
(/.f64 (/.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (sqrt.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (cbrt.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 x (/.f64 x (+.f64 x x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (/.f64 x (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (/.f64 x (/.f64 1 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 x (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (/.f64 x (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 (sqrt.f64 x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 (cbrt.f64 x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) -1) x)
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) -1) x)
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) -1) x)
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.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) (fma.f64 -1/4 (*.f64 x 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)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 -21/512 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 x (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 x (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) (/.f64 x (*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)))
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(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) -1) x)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) 1) (neg.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) -1) x)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) 1) (sqrt.f64 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (/.f64 (sqrt.f64 x) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (cbrt.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1) (neg.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) -1) x)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (/.f64 (/.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 2)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 3)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3) 1/3)
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(fabs.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)) x))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 70 to 35 computations (50% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
986×distribute-rgt-in
950×distribute-lft-in
316×add-sqr-sqrt
302×pow1
302×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013141
130863
2528463
Stop Event
1×node limit
Counts
3 → 413
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x) (/.f64 (+.f64 x x) 2))
(/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x)
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x) (/.f64 (+.f64 x x) 2)))
Outputs
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simplify127.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1294×associate-*r*
1180×associate-*l*
984×associate-/l*
908×times-frac
832×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067114399
1188613719
Stop Event
1×node limit
Counts
449 → 459
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/4 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1/4 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (+.f64 x x) (*.f64 (*.f64 -1/4 (*.f64 x x)) (+.f64 x x)))
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 0))
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(+.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(+.f64 (*.f64 (+.f64 x x) 2) (*.f64 (+.f64 x x) (*.f64 -1/4 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 0) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x))
(+.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(+.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))) 1)
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(+.f64 (*.f64 (+.f64 x x) (*.f64 -1/4 (*.f64 x x))) (*.f64 (+.f64 x x) 2))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))) (/.f64 x (sqrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))))
(pow.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) -1)
(pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)
(neg.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/4 (*.f64 x x) 2)
(/.f64 2 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(*.f64 -1/4 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(*.f64 -1/4 x)
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
(+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/4 x (/.f64 2 x))
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 -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 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.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 -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 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 512 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.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 x x) (*.f64 (*.f64 -1/4 (*.f64 x x)) (+.f64 x x)))
(*.f64 (+.f64 (*.f64 -1/4 (*.f64 x x)) 1) (+.f64 x x))
(+.f64 x (+.f64 x (*.f64 -1/4 (*.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 2 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 0))
(/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)
(+.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)
(+.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)
(+.f64 (*.f64 (+.f64 x x) 2) (*.f64 (+.f64 x x) (*.f64 -1/4 (*.f64 x x))))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 0) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x))
(*.f64 (+.f64 x x) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 2 (/.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 0 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))) 1)
(/.f64 (neg.f64 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(/.f64 (+.f64 -2 (*.f64 x (*.f64 x 1/4))) x)
(+.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (neg.f64 x)))
(*.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) -2)
(*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x -2))
(+.f64 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 (+.f64 x x) x)) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 (+.f64 x x) x)))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x 4)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 -1/4 (*.f64 x x))) (*.f64 (+.f64 x x) 2))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 (+.f64 x x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
(*.f64 2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x (+.f64 x x))))
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x 4)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (*.f64 (+.f64 x x) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x 4)))
(+.f64 (*.f64 (+.f64 x x) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (+.f64 x x) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x 4)))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (neg.f64 x)) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (neg.f64 x)))
(*.f64 (*.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) -2)
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) -2))
(+.f64 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 (+.f64 x x) x)))
(*.f64 2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x (+.f64 x x))))
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x 4)))
(+.f64 (*.f64 1 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 1 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
(*.f64 (+.f64 x x) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 2 (/.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (*.f64 1 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (*.f64 1 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 1 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 1 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
(*.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(/.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(+.f64 (*.f64 1/2 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (*.f64 1/2 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (*.f64 1/2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 1/2 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(+.f64 (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
(*.f64 2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x (+.f64 x x))))
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x 4)))
(+.f64 (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x 4)))
(+.f64 (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (/.f64 (+.f64 x x) 1) (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (+.f64 x x) (*.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 x (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x 4)))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) x) (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) x))
(*.f64 (+.f64 x x) (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))
(*.f64 2 (/.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) (neg.f64 x)) (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) (neg.f64 x)))
(*.f64 (*.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) -2)
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) -2))
(+.f64 (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) (*.f64 (+.f64 x x) x)) (*.f64 (/.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 1) (*.f64 (+.f64 x x) x)))
(*.f64 2 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x (+.f64 x x))))
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) (*.f64 x 4)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 -1 (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
(*.f64 (*.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) -2)
(*.f64 x (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) -2))
(+.f64 (*.f64 -1 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) (*.f64 -1 (*.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) -2)
(*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x -2))
(+.f64 (*.f64 -1 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 -1 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (*.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) -2)
(*.f64 (fma.f64 -1/4 (*.f64 x x) 2) (*.f64 x -2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) x)))
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(+.f64 (*.f64 4 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 (+.f64 x x) -1/4)) (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 -1/4 (+.f64 x x))) 4))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/16 (-.f64 4 (*.f64 -1/2 x))) (+.f64 8 (*.f64 (pow.f64 x 6) -1/64))))
(+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 (+.f64 x x) -1/4)) (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))) (*.f64 4 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 -1/4 (+.f64 x x))) 4))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/16 (-.f64 4 (*.f64 -1/2 x))) (+.f64 8 (*.f64 (pow.f64 x 6) -1/64))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 2 (/.f64 (neg.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) -2)
(+.f64 (*.f64 (+.f64 x x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (+.f64 x x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 2 (*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 4)
(+.f64 (*.f64 (*.f64 (+.f64 x x) x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))) (*.f64 (*.f64 (+.f64 x x) x) (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 2 (*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(*.f64 x (*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) 1)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 2 (/.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 x (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (+.f64 x x) (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (+.f64 x x) (/.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)))
(*.f64 (+.f64 x x) (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 2 (/.f64 (pow.f64 x 3) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 2)
(*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) x)
(*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) -2)
(*.f64 2 (/.f64 (neg.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) (/.f64 x (+.f64 x x)))
(*.f64 (/.f64 x (+.f64 x x)) (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 1 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (sqrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) x)
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
(*.f64 2 (*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(*.f64 x (*.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 4))
(*.f64 (/.f64 (+.f64 x x) 1) (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)) (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)))
(/.f64 (*.f64 (+.f64 x x) (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2))
(*.f64 (/.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 1) (+.f64 x x))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 -2 (*.f64 -1/4 (*.f64 x x)))) (neg.f64 x))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 x (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (+.f64 2 (*.f64 1/4 (*.f64 x x))))
(*.f64 (+.f64 2 (*.f64 x (*.f64 1/4 x))) (/.f64 x (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))))
(*.f64 x (/.f64 (+.f64 2 (*.f64 x (*.f64 x 1/4))) (+.f64 4 (*.f64 (pow.f64 x 4) -1/16))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (*.f64 (pow.f64 x 4) 1/16) (-.f64 4 (*.f64 (+.f64 x x) -1/4))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (+.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 -1/4 (+.f64 x x))) 4))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/16 (-.f64 4 (*.f64 -1/2 x))) (+.f64 8 (*.f64 (pow.f64 x 6) -1/64))))
(*.f64 (/.f64 1 (fma.f64 -1/4 (*.f64 x x) 2)) (+.f64 x x))
(*.f64 2 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) (/.f64 x (+.f64 x x)))
(*.f64 (/.f64 x (+.f64 x x)) (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (*.f64 -1 (/.f64 (neg.f64 x) x)) (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 x (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (fma.f64 -1/4 (*.f64 x x) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))) (/.f64 x (sqrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x))))
(*.f64 2 (*.f64 x (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(pow.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) -1)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 1)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 2)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 3)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 3) 1/3)
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(neg.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(/.f64 (neg.f64 x) (fma.f64 -1/4 (*.f64 x x) 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 2))
(fabs.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2)) 3))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/4 (*.f64 x x) 2) 3)))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (/.f64 (fma.f64 -1/4 (*.f64 x x) 2) x) 3) x)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))) 1))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))))
(/.f64 x (fma.f64 -1/4 (*.f64 x x) 2))

eval477.0ms (6.8%)

Compiler

Compiled 29609 to 18143 computations (38.7% saved)

prune286.0ms (4.1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New118131184
Fresh011
Picked101
Done156
Total118391192
Error
0b
Counts
1192 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.5b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
0.6b
(/.f64 (+.f64 x x) (*.f64 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))) (/.f64 (+.f64 x x) 2)))
✓0.2b
(/.f64 (+.f64 x x) (*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
0.6b
(/.f64 (+.f64 x x) (*.f64 x (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x)))
1.1b
(/.f64 (+.f64 x x) (*.f64 x (/.f64 2 x)))
✓57.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.5b
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
0.9b
x
Compiler

Compiled 113 to 76 computations (32.7% saved)

regimes13.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(/.f64 (+.f64 x x) (*.f64 x (/.f64 2 x)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(/.f64 (+.f64 x x) (*.f64 x (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x)))
(/.f64 (+.f64 x x) (*.f64 (+.f64 (*.f64 -1/4 x) (*.f64 2 (/.f64 1 x))) (/.f64 (+.f64 x x) 2)))
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 2 (*.f64 -1/4 (*.f64 x x))) x) (/.f64 (+.f64 x x) 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 2 (fma.f64 -1/4 (*.f64 x x) 2)) x)
(-.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))))
(/.f64 (+.f64 x x) (*.f64 x (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x)))
(/.f64 (+.f64 x x) (*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x) (/.f64 (+.f64 x x) 2)))
(/.f64 (*.f64 (+.f64 x (-.f64 0 (neg.f64 x))) (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

7.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 194 to 117 computations (39.7% saved)

regimes9.0ms (0.1%)

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

2 calls:

5.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 113 to 66 computations (41.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-15.2%)

Threshold costs -0.1b (-15.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01871
12671
23071
33271
43371
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 -1/4 (*.f64 x 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 -1/4 (*.f64 x x))))
x
Compiler

Compiled 28 to 19 computations (32.1% saved)

soundness78.0ms (1.1%)

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)

end21.0ms (0.3%)

Compiler

Compiled 26 to 16 computations (38.5% saved)

Profiling

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