Details

Time bar (total: 3.7s)

analyze0.0ms (0%)

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

Compiled 17 to 13 computations (23.5% saved)

sample2.2s (59.7%)

Results
1.4s4081×body1024valid
413.0ms2076×body512valid
188.0ms1667×body256valid
174.0ms432×body2048valid
Bogosity

preprocess14.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 9 computations (18.2% saved)

simplify19.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.6b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize28.0ms (0.8%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(sqrt.f64 (-.f64 1 x))
✓6.0b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series9.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

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

rewrite82.0ms (2.2%)

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))))))))

simplify120.0ms (3.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112019433
257159425
Stop Event
1×node limit
Counts
201 → 315
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (+.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (+.f64 x x))
(*.f64 (/.f64 1 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (+.f64 x (-.f64 x (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) 3))) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 (*.f64 (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (*.f64 (+.f64 1 x) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))
(/.f64 1 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (+.f64 x x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 (+.f64 x (+.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))

eval143.0ms (3.9%)

Compiler

Compiled 7416 to 5633 computations (24% saved)

prune44.0ms (1.2%)

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))))
✓58.6b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.1b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
▶0b
(+.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)))
0.3b
x
Compiler

Compiled 54 to 41 computations (24.1% saved)

localize29.0ms (0.8%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/8 (pow.f64 x 3))
✓0.0b
(*.f64 33/1024 (pow.f64 x 7))
✓0.0b
(*.f64 7/128 (pow.f64 x 5))
Compiler

Compiled 71 to 55 computations (22.5% saved)

series5.0ms (0.1%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 7/128 (pow.f64 x 5))
1.0ms
x
@0
(*.f64 7/128 (pow.f64 x 5))
1.0ms
x
@0
(*.f64 33/1024 (pow.f64 x 7))
0.0ms
x
@0
(*.f64 1/8 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 33/1024 (pow.f64 x 7))

rewrite68.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1040×*-commutative
1024×sqrt-prod
816×unswap-sqr
676×swap-sqr
500×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
132339
2344139
Stop Event
1×node limit
Counts
3 → 48
Calls
Call 1
Inputs
(*.f64 7/128 (pow.f64 x 5))
(*.f64 33/1024 (pow.f64 x 7))
(*.f64 1/8 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 7/128 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7/128) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 33/1024) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 33/1024 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1089/1048576 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 33/1024 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 33/1024) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 33/1024 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.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 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/8)) 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 1/64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))))) (#(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))))))))

simplify55.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1796×associate-+r+
1746×associate-+l+
1100×unswap-sqr
562×*-commutative
404×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0144924
1381876
21285858
35168858
Stop Event
1×node limit
Counts
48 → 60
Calls
Call 1
Inputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))))
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)
(pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))
(fabs.f64 (*.f64 7/128 (pow.f64 x 5)))
(log.f64 (pow.f64 (exp.f64 7/128) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))
(cbrt.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))))
(pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)
(pow.f64 (*.f64 (sqrt.f64 33/1024) (pow.f64 x 7/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 33/1024 (pow.f64 x 7))) 3)
(pow.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3) 1/3)
(sqrt.f64 (*.f64 1089/1048576 (pow.f64 x 14)))
(fabs.f64 (*.f64 33/1024 (pow.f64 x 7)))
(log.f64 (pow.f64 (exp.f64 33/1024) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 33/1024 (pow.f64 x 7))))
(log1p.f64 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1))))
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/8)) 3)
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 1/64 (pow.f64 x 6)))
(fabs.f64 (*.f64 1/8 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))
(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 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) -1)
(*.f64 7/128 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))
(*.f64 7/128 (pow.f64 x 5))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 3) -1) (fma.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))) (+.f64 1 (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 7/128 (pow.f64 x 5)))))))
(pow.f64 (*.f64 7/128 (pow.f64 x 5)) 1)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 7/128)) 2)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 7/128 (pow.f64 x 5))) 3)
(*.f64 7/128 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3) 1/3)
(*.f64 7/128 (pow.f64 x 5))
(sqrt.f64 (*.f64 (pow.f64 x 10) 49/16384))
(*.f64 7/128 (pow.f64 x 5))
(fabs.f64 (*.f64 7/128 (pow.f64 x 5)))
(*.f64 7/128 (pow.f64 x 5))
(log.f64 (pow.f64 (exp.f64 7/128) (pow.f64 x 5)))
(*.f64 7/128 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7/128 (pow.f64 x 5)))))
(*.f64 7/128 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 7/128 (pow.f64 x 5)) 3))
(*.f64 7/128 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 7/128 (pow.f64 x 5))))
(*.f64 7/128 (pow.f64 x 5))
(+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) -1)
(*.f64 33/1024 (pow.f64 x 7))
(-.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1)
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))
(*.f64 33/1024 (pow.f64 x 7))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))) (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) 1) (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) 3)) (+.f64 (exp.f64 (*.f64 2 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 33/1024 (pow.f64 x 7)))))))
(pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 1)
(*.f64 33/1024 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 33/1024) (pow.f64 x 7/2)) 2)
(*.f64 33/1024 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 33/1024 (pow.f64 x 7))) 3)
(*.f64 33/1024 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3) 1/3)
(*.f64 33/1024 (pow.f64 x 7))
(sqrt.f64 (*.f64 1089/1048576 (pow.f64 x 14)))
(*.f64 33/1024 (pow.f64 x 7))
(fabs.f64 (*.f64 33/1024 (pow.f64 x 7)))
(*.f64 33/1024 (pow.f64 x 7))
(log.f64 (pow.f64 (exp.f64 33/1024) (pow.f64 x 7)))
(*.f64 33/1024 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7)))))
(*.f64 33/1024 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 33/1024 (pow.f64 x 7)) 3))
(*.f64 33/1024 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 33/1024 (pow.f64 x 7))))
(*.f64 33/1024 (pow.f64 x 7))
(exp.f64 (log.f64 (*.f64 33/1024 (pow.f64 x 7))))
(*.f64 33/1024 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 33/1024 (pow.f64 x 7))))
(*.f64 33/1024 (pow.f64 x 7))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) -1)
(*.f64 1/8 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1)
(*.f64 1/8 (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1))
(*.f64 1/8 (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))) (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) 1) (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))) (pow.f64 (exp.f64 2) (log1p.f64 (*.f64 1/8 (pow.f64 x 3)))))))
(pow.f64 (*.f64 1/8 (pow.f64 x 3)) 1)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3/2)) 2)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/8)) 3)
(*.f64 1/8 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/8 (pow.f64 x 3))
(sqrt.f64 (*.f64 1/64 (pow.f64 x 6)))
(*.f64 1/8 (pow.f64 x 3))
(fabs.f64 (*.f64 1/8 (pow.f64 x 3)))
(*.f64 1/8 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/8) (pow.f64 x 3)))
(*.f64 1/8 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 1/8 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))
(*.f64 1/8 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/8 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 3))

localize8.0ms (0.2%)

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)

localize18.0ms (0.5%)

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)

series5.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

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

rewrite105.0ms (2.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01277
126865
2410965
Stop Event
1×node limit
Counts
3 → 358
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))))
((#(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 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 0) (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 0) (*.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) 1) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))))

simplify151.0ms (4.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
083421968
1241421098
Stop Event
1×node limit
Counts
370 → 669
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (*.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.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)))
(*.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 x x) (*.f64 0 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 0)
(*.f64 (/.f64 (+.f64 x x) (*.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 (+.f64 x x) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (*.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)))))
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(*.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
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1)) (*.f64 1/16 (pow.f64 x 3)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.f64 2 (*.f64 x (*.f64 x -1/4)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(pow.f64 (exp.f64 1/2) (log1p.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 1 x))
(-.f64 0 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (-.f64 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (*.f64 (-.f64 1 x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x (-.f64 1 (-.f64 1 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
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(+.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))))
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(+.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))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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))))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (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 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (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))) (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (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)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (+.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 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 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (-.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)))) (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 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 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 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (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 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (+.f64 (-.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)))) (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 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (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 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (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 2 (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 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 -1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 1 x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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 (sqrt.f64 (-.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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 (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 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.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 x 1)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))))
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(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

eval378.0ms (10.2%)

Compiler

Compiled 21424 to 15484 computations (27.7% saved)

prune138.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New8171818
Fresh011
Picked011
Done123
Total8185823
Error
0b
Counts
823 → 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))))
▶0.1b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
✓58.6b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0b
(+.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)))
0.3b
x
Compiler

Compiled 58 to 43 computations (25.9% saved)

localize11.0ms (0.3%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Error
0b
Counts
5 → 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))))
✓0.1b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
✓58.6b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0b
(+.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)))
0.3b
x
Compiler

Compiled 58 to 43 computations (25.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Error
0b
Counts
5 → 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))))
✓0.1b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
✓58.6b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0b
(+.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)))
0.3b
x
Compiler

Compiled 58 to 43 computations (25.9% saved)

regimes8.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) 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 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
Outputs
(+.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)))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 73 to 52 computations (28.8% saved)

regimes7.0ms (0.2%)

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

2 calls:

4.0ms
x
2.0ms
(-.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 54 to 37 computations (31.5% saved)

regimes7.0ms (0.2%)

Accuracy

Total -58.6b remaining (-75778.3%)

Threshold costs -58.6b (-75778.3%)

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

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033126
148126
252126
354126
455126
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
x
Outputs
(+.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 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 x (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
x
Compiler

Compiled 48 to 35 computations (27.1% saved)

soundness0.0ms (0%)

end29.0ms (0.8%)

Compiler

Compiled 45 to 31 computations (31.1% saved)

Profiling

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