Details

Time bar (total: 5.3s)

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 (41.5%)

Results
1.4s4123×body1024valid
487.0ms2047×body512valid
186.0ms448×body2048valid
164.0ms1638×body256valid
Bogosity

preprocess14.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 9 computations (18.2% saved)

simplify20.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1 x))
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓8.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series8.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 x))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1 x))

rewrite88.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify146.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

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

eval191.0ms (3.6%)

Compiler

Compiled 7466 to 5669 computations (24.1% saved)

prune47.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3124316
Fresh000
Picked011
Done000
Total3125317
Error
0b
Counts
317 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶50.2b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.1b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.6b
x
Compiler

Compiled 52 to 39 computations (25% saved)

localize7.0ms (0.1%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series4.0ms (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
@inf
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))

rewrite180.0ms (3.4%)

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 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(#(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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simplify169.0ms (3.2%)

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))
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(*.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)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1) (sqrt.f64 (+.f64 1 x)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(-.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (-.f64 0 (neg.f64 (sqrt.f64 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))))
(+.f64 0 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(*.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)) (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 1/2 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) x))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 0) 0)
0
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 2 (pow.f64 x 3))) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 1/2 (pow.f64 x 3)))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/4)))
(neg.f64 (pow.f64 (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
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0
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(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
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(*.f64 (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x)))) (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(*.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 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (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 (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (fma.f64 x x 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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 0 (*.f64 2 (pow.f64 x 3)))) (*.f64 0 (fma.f64 x x 0)))
0
(*.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (*.f64 (*.f64 2 (pow.f64 x 3)) 0)) (*.f64 (fma.f64 x x 0) 0))
0
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3/2) 3))) (+.f64 (pow.f64 (+.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (-.f64 1 x) 3))) (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (*.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (*.f64 2 (/.f64 x (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 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 1 (+.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 1 (+.f64 1 (+.f64 x x))))
(*.f64 (/.f64 (+.f64 x x) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (*.f64 x (+.f64 x x)) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 x (/.f64 (*.f64 4 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(/.f64 (*.f64 (*.f64 2 (neg.f64 x)) (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 x x) (-.f64 1 (+.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 x x) (-.f64 1 (+.f64 1 (+.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))
(*.f64 (*.f64 x x) (/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (pow.f64 x 4) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 4)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0) (*.f64 (*.f64 x x) 0)))
(*.f64 (pow.f64 x 4) (/.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 (pow.f64 x 6) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (pow.f64 x 4) (*.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 x 6)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (+.f64 x x)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (cbrt.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2)) x)
(/.f64 (neg.f64 x) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(*.f64 x (/.f64 -2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))) (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))
(/.f64 (-.f64 (-.f64 2 (-.f64 x x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (-.f64 1 (+.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (-.f64 1 (+.f64 1 (+.f64 x x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) -1)
(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.0b
(sqrt.f64 (+.f64 x 1))
✓0.0b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓8.1b
(-.f64 1 (-.f64 1 x))
Compiler

Compiled 55 to 41 computations (25.5% saved)

series76.0ms (1.4%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
75.0ms
x
@inf
(-.f64 1 (-.f64 1 x))
0.0ms
x
@-inf
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
0.0ms
x
@inf
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
0.0ms
x
@0
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(-.f64 1 (-.f64 1 x))

rewrite214.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
1448×associate-/l*
1382×associate-/r/
518×associate-+l+
420×associate-+r+
350×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
130128
2468128
Stop Event
1×node limit
Counts
2 → 169
Calls
Call 1
Inputs
(-.f64 1 (-.f64 1 x))
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
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simplify282.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
1664×associate--r+
670×associate-*r*
488×fma-def
444×associate-*l*
436×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04488807
113277773
269317701
Stop Event
1×node limit
Counts
185 → 307
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
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 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 x -1) 1) 0))
(+.f64 1 (-.f64 (+.f64 x -1) 0))
(+.f64 1 (-.f64 (*.f64 (+.f64 x -1) 1) 0))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 0 x)
(+.f64 0 (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 x -1) 1)
(+.f64 (*.f64 (+.f64 x -1) 1) 1)
(+.f64 -1 (+.f64 (neg.f64 (neg.f64 x)) 1))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(*.f64 (/.f64 1 (-.f64 2 x)) (-.f64 1 (pow.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))) (-.f64 1 (pow.f64 (-.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (pow.f64 (-.f64 1 x) 2))) x)
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(*.f64 (/.f64 (+.f64 x x) (*.f64 x (-.f64 x x))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 x x)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 x x (*.f64 x (-.f64 x x)))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (neg.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (-.f64 (neg.f64 x) x) (-.f64 (neg.f64 x) x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x x)) 2))) (cbrt.f64 (+.f64 x x)))
(*.f64 (/.f64 (-.f64 (neg.f64 x) x) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (*.f64 x (-.f64 x x))) (+.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 x x)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 (pow.f64 x 3) (pow.f64 x 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))))) (fma.f64 x x (*.f64 x (-.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x (-.f64 x x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (-.f64 x x)) (*.f64 x (-.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (-.f64 x x))))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (+.f64 x x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (hypot.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (sqrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 x x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (cbrt.f64 (-.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (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))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
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 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 1 (+.f64 (*.f64 (+.f64 x -1) 1) 0))
x
(+.f64 1 (-.f64 (+.f64 x -1) 0))
x
(+.f64 1 (-.f64 (*.f64 (+.f64 x -1) 1) 0))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 0 x)
x
(+.f64 0 (neg.f64 (neg.f64 x)))
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 (*.f64 (+.f64 x -1) 1) 1)
x
(+.f64 -1 (+.f64 (neg.f64 (neg.f64 x)) 1))
x
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 x 1))) (*.f64 (/.f64 x (+.f64 x 1)) x))
(fma.f64 (/.f64 x (+.f64 x 1)) x (+.f64 1 (/.f64 -1 (+.f64 x 1))))
(+.f64 (-.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(+.f64 1 (+.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x)))))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(*.f64 (/.f64 1 (-.f64 2 x)) (-.f64 1 (pow.f64 (-.f64 1 x) 2)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))) (-.f64 1 (pow.f64 (-.f64 1 x) 3)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (pow.f64 (-.f64 1 x) 2))) x)
x
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) 1) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (+.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 (+.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (/.f64 (+.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 x (+.f64 x -1)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (-.f64 1 (*.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)) (*.f64 (-.f64 1 x) (-.f64 2 x))))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (-.f64 1 (*.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 2 x) (-.f64 2 x))))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (*.f64 (-.f64 2 x) (pow.f64 (-.f64 1 x) 2)) (+.f64 -2 x)))) (-.f64 x (pow.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)) (*.f64 (-.f64 1 x) (-.f64 2 x))) (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 2 x) (-.f64 2 x))) (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)) 3))) (+.f64 1 (*.f64 (-.f64 2 x) (+.f64 (*.f64 (-.f64 2 x) (pow.f64 (-.f64 1 x) 2)) (+.f64 x -1)))))
(/.f64 1 (/.f64 1 x))
x
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(/.f64 (pow.f64 x 3) (-.f64 (*.f64 x x) (*.f64 0 x)))
(/.f64 (pow.f64 x 3) (*.f64 x x))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 2 x) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (-.f64 2 x)) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (-.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 x (+.f64 x -1)))) (sqrt.f64 (-.f64 x (*.f64 x (+.f64 x -1))))) (-.f64 2 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)))) (fma.f64 (-.f64 1 x) (-.f64 2 x) 1))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)))) (-.f64 2 x)) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 x (+.f64 x -1)))) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x (+.f64 x -1)))) (/.f64 (-.f64 2 x) (cbrt.f64 (-.f64 x (*.f64 x (+.f64 x -1)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))) (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)))) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (/.f64 (fma.f64 (-.f64 1 x) (-.f64 2 x) 1) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2 x))
(*.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 x -1))) (-.f64 2 x))
(/.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) x) -2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 -2 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 x) 2)) (+.f64 -2 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (+.f64 -1 (neg.f64 (*.f64 (-.f64 1 x) (-.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 x) 3)) (-.f64 -1 (*.f64 (-.f64 1 x) (-.f64 2 x))))
(pow.f64 x 1)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (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 (neg.f64 (sqrt.f64 (-.f64 1 x))) (+.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
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(*.f64 (*.f64 (/.f64 2 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))) (cbrt.f64 (-.f64 2 (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (neg.f64 x) x) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 x -2) (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(fabs.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (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))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) (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))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 1 x)))

eval784.0ms (14.7%)

Compiler

Compiled 40978 to 30127 computations (26.5% saved)

prune342.0ms (6.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New147121473
Fresh011
Picked011
Done033
Total147171478
Error
0b
Counts
1478 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.2b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶50.5b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
✓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))))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.1b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.6b
x
Compiler

Compiled 74 to 55 computations (25.7% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 33 to 20 computations (39.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
122627
2320121
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4))) (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))) (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2))) (*.f64 0 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3)))) (*.f64 0 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x (*.f64 x -1/4) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x (*.f64 x -1/4) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (neg.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (neg.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) 4)) (-.f64 (*.f64 x (*.f64 x -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (sqrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 0)) (-.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 0 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 0 (*.f64 0 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (-.f64 4 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2)))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 0 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (cbrt.f64 (+.f64 8 (*.f64 -1/64 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/4)) 2) (-.f64 4 (*.f64 0 (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 (fma.f64 x (*.f64 x -1/4) 2))))))))

simplify59.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.1b
(-.f64 1 (-.f64 1 x))
Compiler

Compiled 28 to 21 computations (25% saved)

eval54.0ms (1%)

Compiler

Compiled 3040 to 2362 computations (22.3% saved)

prune22.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1701171
Fresh011
Picked011
Done055
Total1708178
Error
0b
Counts
178 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.2b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓50.5b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
▶50.5b
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
✓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))))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.1b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.6b
x
Compiler

Compiled 84 to 63 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.8b
(+.f64 (+.f64 1 x) -1)
Compiler

Compiled 29 to 22 computations (24.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1614×add-sqr-sqrt
1598×*-un-lft-identity
1494×add-cube-cbrt
1484×add-cbrt-cube
146×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11527
219207
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (+.f64 1 x) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)))))

simplify57.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
886×distribute-lft-in
864×*-commutative
846×fma-def
816×distribute-rgt-in
766×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094479
1268407
21268345
37474339
Stop Event
1×node limit
Counts
47 → 44
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
(*.f64 1 (+.f64 x 0))
(*.f64 (+.f64 x 0) 1)
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))
(pow.f64 (+.f64 x 0) 1)
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
(log.f64 (exp.f64 (+.f64 x 0)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
(expm1.f64 (log1p.f64 (+.f64 x 0)))
(exp.f64 (log.f64 (+.f64 x 0)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 0)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 0))) 1)
x
(-.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))
x
(*.f64 1 (+.f64 x 0))
x
(*.f64 (+.f64 x 0) 1)
x
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
x
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
x
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
x
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 (*.f64 x (-.f64 2 x)) (-.f64 2 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 -1 (+.f64 1 x)))
x
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(pow.f64 (+.f64 x 0) 1)
x
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
x
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
x
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
x
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
x
(log.f64 (exp.f64 (+.f64 x 0)))
x
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 0))))
x
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
x
(expm1.f64 (log1p.f64 (+.f64 x 0)))
x
(exp.f64 (log.f64 (+.f64 x 0)))
x
(exp.f64 (*.f64 (log.f64 (+.f64 x 0)) 1))
x
(log1p.f64 (expm1.f64 (+.f64 x 0)))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x

eval13.0ms (0.2%)

Compiler

Compiled 681 to 543 computations (20.3% saved)

prune7.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done066
Total44852
Error
0b
Counts
52 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓50.2b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓50.5b
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
✓50.5b
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
✓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))))
✓58.4b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.1b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.6b
x
Compiler

Compiled 84 to 63 computations (25% saved)

regimes9.0ms (0.2%)

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

2 calls:

5.0ms
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 89 to 64 computations (28.1% saved)

regimes8.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 (+.f64 x (+.f64 (+.f64 1 x) -1)) 2)
(/.f64 (+.f64 x (-.f64 1 (-.f64 1 x))) 2)
(/.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 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
0.1b1x
0.1b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -50.0b remaining (-8773.7%)

Threshold costs -50.0b (-8773.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02390
13490
23890
34090
44190
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 x (*.f64 x -1/4))))
x
Compiler

Compiled 36 to 25 computations (30.6% saved)

soundness78.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04789955
112029433
257159425
Stop Event
1×node limit
Compiler

Compiled 72 to 48 computations (33.3% saved)

end25.0ms (0.5%)

Compiler

Compiled 33 to 21 computations (36.4% saved)

Profiling

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