x / (x^2 + 1)

Time bar (total: 2.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample766.0ms (27.1%)

Results
755.0ms8256×body256valid
Bogosity

preprocess153.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
912×fma-neg
889×cube-prod
686×div-sub
487×times-frac
371×distribute-lft-neg-in
Problems
205×No Errors
51×(/.f64 x (+.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
015100
137100
265100
3128100
430186
598186
6231386
7516686
8597886
9722786
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))
(neg.f64 (/.f64 x (fma.f64 x x 1)))
(/.f64 (neg.f64 x) (fma.f64 x x 1))
(reciprocal.f64 (-.f64 (/.f64 -1 x) x))
(/.f64 -1 (+.f64 x (reciprocal.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))
(/.f64 x (fma.f64 x x 1))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
Symmetry

(negabs x)

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval3.0ms (0.1%)

Compiler

Compiled 12 to 7 computations (41.7% saved)

prune9.0ms (0.3%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
▶81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

localize43.0ms (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓100.0%
(+.f64 x (reciprocal.f64 x))
✓39.9%
(reciprocal.f64 x)
✓39.9%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
Compiler

Compiled 31 to 12 computations (61.3% saved)

series9.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

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

rewrite300.0ms (10.6%)

Algorithm
1×batch-egg-rewrite
Rules
876×log1p-expm1-u
876×expm1-log1p-u
501×prod-diff
401×log-prod
332×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
118070
2246670
Stop Event
1×node limit
Counts
4 → 145
Calls
Call 1
Inputs
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(reciprocal.f64 x)
(+.f64 x (reciprocal.f64 x))
(/.f64 x (+.f64 (*.f64 x x) 1))
Outputs
(+.f64 0 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) 1)
(*.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(*.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2) (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))) (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))) (-.f64 x (reciprocal.f64 x)))
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (reciprocal.f64 x)) 1))
(/.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (sqrt.f64 (+.f64 x (reciprocal.f64 x))))
(/.f64 -1 (neg.f64 (+.f64 x (reciprocal.f64 x))))
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2)) (cbrt.f64 (+.f64 x (reciprocal.f64 x))))
(pow.f64 (+.f64 x (reciprocal.f64 x)) -1)
(pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 3)
(pow.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2)
(sqrt.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 2))
(log.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))))
(cbrt.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 3))
(expm1.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))) 1))
(log1p.f64 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(+.f64 0 (reciprocal.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x))) (cbrt.f64 (exp.f64 (reciprocal.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 x))) 1)
(*.f64 (reciprocal.f64 x) 1)
(*.f64 1 (reciprocal.f64 x))
(*.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) (reciprocal.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 (reciprocal.f64 x)))
(/.f64 1 x)
(/.f64 1 (/.f64 x 1))
(/.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 x))
(/.f64 -1 (neg.f64 x))
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x -1)
(pow.f64 (reciprocal.f64 x) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (reciprocal.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (reciprocal.f64 x)) 2)
(sqrt.f64 (pow.f64 (reciprocal.f64 x) 2))
(log.f64 (exp.f64 (reciprocal.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))))
(cbrt.f64 (pow.f64 (reciprocal.f64 x) 3))
(expm1.f64 (log1p.f64 (reciprocal.f64 x)))
(exp.f64 (log.f64 (reciprocal.f64 x)))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 x)) 1))
(log1p.f64 (expm1.f64 (reciprocal.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (reciprocal.f64 x))) (/.f64 (pow.f64 (reciprocal.f64 x) 2) (-.f64 x (reciprocal.f64 x))))
(*.f64 (+.f64 x (reciprocal.f64 x)) 1)
(*.f64 1 (+.f64 x (reciprocal.f64 x)))
(*.f64 2 (cosh.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2) (cbrt.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) (sqrt.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2)) (reciprocal.f64 (-.f64 x (reciprocal.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)) (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (reciprocal.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (reciprocal.f64 x) 2) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2)) (-.f64 x (reciprocal.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))) (neg.f64 (-.f64 x (reciprocal.f64 x))))
(/.f64 (-.f64 (pow.f64 (reciprocal.f64 x) 2) (pow.f64 x 2)) (-.f64 (reciprocal.f64 x) x))
(pow.f64 (+.f64 x (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (reciprocal.f64 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (reciprocal.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (*.f64 (exp.f64 (reciprocal.f64 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)) (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))))
(reciprocal.f64 (/.f64 (-.f64 x (reciprocal.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))))
(expm1.f64 (log1p.f64 (+.f64 x (reciprocal.f64 x))))
(exp.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (reciprocal.f64 x))))
(fma.f64 x 1 (reciprocal.f64 x))
(fma.f64 (reciprocal.f64 x) 1 x)
(fma.f64 1 x (reciprocal.f64 x))
(fma.f64 1 (reciprocal.f64 x) x)
(fma.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) x)
(fma.f64 (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) (reciprocal.f64 (cbrt.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (reciprocal.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 (reciprocal.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (reciprocal.f64 x))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(*.f64 x (reciprocal.f64 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(*.f64 (neg.f64 x) (reciprocal.f64 (neg.f64 (fma.f64 x x 1))))
(*.f64 (reciprocal.f64 (fma.f64 x x 1)) x)
(*.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (reciprocal.f64 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1) (pow.f64 x 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))
(reciprocal.f64 (/.f64 (fma.f64 x x 1) x))
(reciprocal.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))

simplify92.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
501×distribute-lft-in
485×associate-*r/
481×distribute-rgt-in
185×associate-+r+
178×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03334940
16994763
224224609
Stop Event
1×node limit
Counts
193 → 203
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
x
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
x
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (/.f64 1 x))
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 0 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) 1)
(*.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(*.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2) (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))) (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))) (-.f64 x (reciprocal.f64 x)))
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (reciprocal.f64 x)) 1))
(/.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) (sqrt.f64 (+.f64 x (reciprocal.f64 x))))
(/.f64 -1 (neg.f64 (+.f64 x (reciprocal.f64 x))))
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2)) (cbrt.f64 (+.f64 x (reciprocal.f64 x))))
(pow.f64 (+.f64 x (reciprocal.f64 x)) -1)
(pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(pow.f64 (cbrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 3)
(pow.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 2)
(sqrt.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 2))
(log.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))))
(cbrt.f64 (pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 3))
(expm1.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))) 1))
(log1p.f64 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(+.f64 0 (reciprocal.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x))) (cbrt.f64 (exp.f64 (reciprocal.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (reciprocal.f64 x))) 1)
(*.f64 (reciprocal.f64 x) 1)
(*.f64 1 (reciprocal.f64 x))
(*.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) (reciprocal.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 (reciprocal.f64 x)))
(/.f64 1 x)
(/.f64 1 (/.f64 x 1))
(/.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 x))
(/.f64 -1 (neg.f64 x))
(/.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x -1)
(pow.f64 (reciprocal.f64 x) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (reciprocal.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (reciprocal.f64 x)) 2)
(sqrt.f64 (pow.f64 (reciprocal.f64 x) 2))
(log.f64 (exp.f64 (reciprocal.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))))
(cbrt.f64 (pow.f64 (reciprocal.f64 x) 3))
(expm1.f64 (log1p.f64 (reciprocal.f64 x)))
(exp.f64 (log.f64 (reciprocal.f64 x)))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 x)) 1))
(log1p.f64 (expm1.f64 (reciprocal.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (reciprocal.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (reciprocal.f64 x))) (/.f64 (pow.f64 (reciprocal.f64 x) 2) (-.f64 x (reciprocal.f64 x))))
(*.f64 (+.f64 x (reciprocal.f64 x)) 1)
(*.f64 1 (+.f64 x (reciprocal.f64 x)))
(*.f64 2 (cosh.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 2) (cbrt.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) (sqrt.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (reciprocal.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2)) (reciprocal.f64 (-.f64 x (reciprocal.f64 x))))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)) (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (reciprocal.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (reciprocal.f64 x) 2) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2)) (-.f64 x (reciprocal.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))) (neg.f64 (-.f64 x (reciprocal.f64 x))))
(/.f64 (-.f64 (pow.f64 (reciprocal.f64 x) 2) (pow.f64 x 2)) (-.f64 (reciprocal.f64 x) x))
(pow.f64 (+.f64 x (reciprocal.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (reciprocal.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (reciprocal.f64 x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (reciprocal.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (reciprocal.f64 x)))))
(log.f64 (*.f64 (exp.f64 (reciprocal.f64 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (reciprocal.f64 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3))
(reciprocal.f64 (/.f64 (fma.f64 x x (+.f64 (pow.f64 (reciprocal.f64 x) 2) -1)) (+.f64 (pow.f64 (reciprocal.f64 x) 3) (pow.f64 x 3))))
(reciprocal.f64 (/.f64 (-.f64 x (reciprocal.f64 x)) (-.f64 (pow.f64 x 2) (pow.f64 (reciprocal.f64 x) 2))))
(expm1.f64 (log1p.f64 (+.f64 x (reciprocal.f64 x))))
(exp.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (reciprocal.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (reciprocal.f64 x))))
(fma.f64 x 1 (reciprocal.f64 x))
(fma.f64 (reciprocal.f64 x) 1 x)
(fma.f64 1 x (reciprocal.f64 x))
(fma.f64 1 (reciprocal.f64 x) x)
(fma.f64 (reciprocal.f64 (cbrt.f64 x)) (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) x)
(fma.f64 (pow.f64 (reciprocal.f64 (cbrt.f64 x)) 2) (reciprocal.f64 (cbrt.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (reciprocal.f64 x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 (reciprocal.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (reciprocal.f64 x))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(*.f64 x (reciprocal.f64 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(*.f64 (neg.f64 x) (reciprocal.f64 (neg.f64 (fma.f64 x x 1))))
(*.f64 (reciprocal.f64 (fma.f64 x x 1)) x)
(*.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (reciprocal.f64 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1) (pow.f64 x 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))
(reciprocal.f64 (/.f64 (fma.f64 x x 1) x))
(reciprocal.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
Outputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 7) (pow.f64 x 5))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 3))))
(+.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7)))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 7)) (pow.f64 (reciprocal.f64 x) 3))))
(-.f64 (-.f64 (reciprocal.f64 (pow.f64 x 5)) (pow.f64 (reciprocal.f64 x) 3)) (-.f64 (reciprocal.f64 (pow.f64 x 7)) (reciprocal.f64 x)))
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 3))))
(+.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7)))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 7)) (pow.f64 (reciprocal.f64 x) 3))))
(-.f64 (-.f64 (reciprocal.f64 (pow.f64 x 5)) (pow.f64 (reciprocal.f64 x) 3)) (-.f64 (reciprocal.f64 (pow.f64 x 7)) (reciprocal.f64 x)))
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(/.f64 1 x)
(reciprocal.f64 x)
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
x
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
x
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
(+.f64 x (/.f64 1 x))
(+.f64 x (reciprocal.f64 x))
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 7) (pow.f64 x 5))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 3))))
(+.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 x) (pow.f64 (reciprocal.f64 x) 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7)))))
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(fma.f64 (sqrt.f64 (reciprocal.f64 x)) (sqrt.f64 (reciprocal.f64 x)) x)
(+.f64 x (reciprocal.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (reciprocal.f64 x))
(+.f64 x (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)) (reciprocal.f64 x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x) (reciprocal.f64 x))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1)))) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (reciprocal.f64 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (reciprocal.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (neg.f64 x) (reciprocal.f64 (neg.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(*.f64 (reciprocal.f64 (fma.f64 x x 1)) x)
(/.f64 x (fma.f64 x x 1))
(*.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (reciprocal.f64 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (reciprocal.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 1) (pow.f64 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 4) (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2))))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 x)) (+.f64 -1 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 -1 (pow.f64 x 4)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x x 1)))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))
(/.f64 x (fma.f64 x x 1))
(reciprocal.f64 (/.f64 (fma.f64 x x 1) x))
(/.f64 x (fma.f64 x x 1))
(reciprocal.f64 (/.f64 (/.f64 (fma.f64 x x 1) x) 1))
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(/.f64 x (exp.f64 (log1p.f64 (pow.f64 x 2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x 2))))
(/.f64 x (exp.f64 (log1p.f64 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(/.f64 x (fma.f64 x x 1))

eval227.0ms (8%)

Compiler

Compiled 2254 to 1224 computations (45.7% saved)

prune39.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1994203
Fresh000
Picked022
Done000
Total1996205
Accuracy
100.0%
Counts
205 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
▶47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
▶20.2%
(reciprocal.f64 x)
55.4%
x
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
▶67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
▶47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
▶20.2%
(reciprocal.f64 x)
55.4%
x
Compiler

Compiled 60 to 40 computations (33.3% saved)

localize39.0ms (1.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x (reciprocal.f64 x))
✓99.9%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
39.9%
(reciprocal.f64 x)
39.9%
(reciprocal.f64 x)
Compiler

Compiled 24 to 10 computations (58.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
489×log1p-expm1-u
489×expm1-log1p-u
416×pow1
346×unpow-prod-down
315×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
110821
2141921
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
Outputs
(+.f64 0 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(-.f64 (+.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 1)
(*.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(*.f64 -1 (reciprocal.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (-.f64 (fma.f64 x x (pow.f64 x -2)) 1))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 (reciprocal.f64 (-.f64 (fma.f64 x x (pow.f64 x -2)) 1)) -1))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (-.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (pow.f64 (reciprocal.f64 (-.f64 x (reciprocal.f64 x))) -1))
(*.f64 (pow.f64 1 1/3) (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 2) 3) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3) (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2)) 1/3) (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2)))
(pow.f64 (+.f64 x (reciprocal.f64 x)) -1)
(pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x (reciprocal.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2))
(log.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(reciprocal.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(expm1.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x (reciprocal.f64 x)))) 2))
(log1p.f64 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))

simplify73.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
403×fma-neg
290×associate-*r*
274×associate-*l*
254×fma-def
248×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01531830
13831774
29671766
341031742
Stop Event
1×node limit
Counts
58 → 82
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 0 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(-.f64 (+.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 1)
(*.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(*.f64 -1 (reciprocal.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (-.f64 (fma.f64 x x (pow.f64 x -2)) 1))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 (reciprocal.f64 (-.f64 (fma.f64 x x (pow.f64 x -2)) 1)) -1))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (-.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (pow.f64 (reciprocal.f64 (-.f64 x (reciprocal.f64 x))) -1))
(*.f64 (pow.f64 1 1/3) (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 2) 3) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3) (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2)) 1/3) (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2)))
(pow.f64 (+.f64 x (reciprocal.f64 x)) -1)
(pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(pow.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x (reciprocal.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2))
(log.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(reciprocal.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(expm1.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x (reciprocal.f64 x)))) 2))
(log1p.f64 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
Outputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 7) (pow.f64 x 5))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (pow.f64 x 7)))
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 3))))
(+.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3))))
(-.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 5))) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7)))))
(+.f64 (-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3))) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 7))))
(/.f64 1 x)
(reciprocal.f64 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 3))))
(+.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3))))
(-.f64 (reciprocal.f64 (pow.f64 x 5)) (-.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 5))) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7))))
(+.f64 (reciprocal.f64 x) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (+.f64 (reciprocal.f64 (pow.f64 x 3)) (reciprocal.f64 (pow.f64 x 7)))))
(+.f64 (-.f64 (reciprocal.f64 x) (reciprocal.f64 (pow.f64 x 3))) (-.f64 (reciprocal.f64 (pow.f64 x 5)) (reciprocal.f64 (pow.f64 x 7))))
(+.f64 0 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(-.f64 (+.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))) 1)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 1 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 -1 (reciprocal.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (-.f64 (fma.f64 x x (pow.f64 x -2)) 1))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (+.f64 (fma.f64 x x (pow.f64 x -2)) -1))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 (reciprocal.f64 (-.f64 (fma.f64 x x (pow.f64 x -2)) 1)) -1))
(*.f64 (reciprocal.f64 (+.f64 (pow.f64 x 3) (pow.f64 x -3))) (+.f64 (fma.f64 x x (pow.f64 x -2)) -1))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (-.f64 x (reciprocal.f64 x)))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (reciprocal.f64 (-.f64 (pow.f64 x 2) (pow.f64 x -2))) (pow.f64 (reciprocal.f64 (-.f64 x (reciprocal.f64 x))) -1))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 1 1/3) (reciprocal.f64 (+.f64 x (reciprocal.f64 x))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 2) 3) (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3) (pow.f64 (sqrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2)) 1/3) (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))))
(*.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2) (pow.f64 (+.f64 x (reciprocal.f64 x)) -2))))
(*.f64 (cbrt.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) (pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -5/2)) (cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2)))
(pow.f64 (+.f64 x (reciprocal.f64 x)) -1)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x))) 1)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x)))) 3)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))) -3)
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2) 1/2)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3) 1/3)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 2) -1/2)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -1/2) 2)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 x (reciprocal.f64 x))) -2)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))) -1)
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 x (reciprocal.f64 x))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -2))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(log.f64 (exp.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(reciprocal.f64 (neg.f64 (neg.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(expm1.f64 (log1p.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(exp.f64 (*.f64 (log.f64 (reciprocal.f64 (cbrt.f64 (+.f64 x (reciprocal.f64 x))))) 3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (reciprocal.f64 x)) -3)) 1/3))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x (reciprocal.f64 x)))) 2))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
(log1p.f64 (expm1.f64 (reciprocal.f64 (+.f64 x (reciprocal.f64 x)))))
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))

eval118.0ms (4.2%)

Compiler

Compiled 2668 to 1308 computations (51% saved)

prune38.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2590259
Fresh011
Picked033
Done022
Total2596265
Accuracy
100.0%
Counts
265 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
✓47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
✓20.2%
(reciprocal.f64 x)
55.4%
x
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
✓47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
✓20.2%
(reciprocal.f64 x)
55.4%
x
Compiler

Compiled 60 to 40 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune16.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
✓47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
✓20.2%
(reciprocal.f64 x)
55.4%
x
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
✓47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
✓20.2%
(reciprocal.f64 x)
55.4%
x
Compiler

Compiled 60 to 40 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune13.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.4%
(/.f64 x (+.f64 (*.f64 x x) 1))
✓67.0%
(/.f64 1 (+.f64 x (reciprocal.f64 x)))
✓47.1%
(/.f64 1 x)
✓39.6%
(reciprocal.f64 (+.f64 x (reciprocal.f64 x)))
✓20.2%
(reciprocal.f64 x)
55.4%
x
Compiler

Compiled 55 to 32 computations (41.8% saved)

regimes22.0ms (0.8%)

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

2 calls:

10.0ms
x
7.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))
Results
AccuracySegmentsBranch
100.0%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes13.0ms (0.5%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 20 to 9 computations (55% saved)

regimes13.0ms (0.4%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.6%2x
Compiler

Compiled 14 to 7 computations (50% saved)

regimes9.0ms (0.3%)

Counts
2 → 2
Calls
Call 1
Inputs
x
(reciprocal.f64 x)
Outputs
x
(reciprocal.f64 x)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
71.8%2x
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
55.4%1x
Compiler

Compiled 4 to 2 computations (50% saved)

bsearch5.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
5.0ms
55803.57509635405
427423617.16021734
Results
4.0ms48×body256valid
Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch15.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0003906632610580707
2.5465330574652767
Results
12.0ms128×body256valid
Compiler

Compiled 100 to 72 computations (28% saved)

bsearch15.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.0003906632610580707
2.5465330574652767
Results
13.0ms128×body256valid
Compiler

Compiled 76 to 56 computations (26.3% saved)

bsearch14.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0003906632610580707
2.5465330574652767
Results
11.0ms128×body256valid
Compiler

Compiled 68 to 48 computations (29.4% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026143
133143
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x 50000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))
(if (<=.f64 x 6052837899185947/576460752303423488) x (/.f64 1 (+.f64 x (reciprocal.f64 x))))
(if (<=.f64 x 1) x (/.f64 1 x))
(if (<=.f64 x 1) x (reciprocal.f64 x))
x
Outputs
(if (<=.f64 x 50000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x))
(if (<=.f64 x 6052837899185947/576460752303423488) x (/.f64 1 (+.f64 x (reciprocal.f64 x))))
(if (<=.f64 x 1) x (/.f64 1 x))
(if (<=.f64 x 1) x (reciprocal.f64 x))
x
Compiler

Compiled 46 to 30 computations (34.8% saved)

soundness582.0ms (20.6%)

Rules
912×fma-neg
889×cube-prod
876×log1p-expm1-u
876×expm1-log1p-u
686×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
137100
265100
3128100
430186
598186
6231386
7516686
8597886
9722786
03334940
16994763
224224609
01370
118070
2246670
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 160 to 85 computations (46.9% saved)

end0.0ms (0%)

preprocess110.0ms (3.9%)

Compiler

Compiled 176 to 112 computations (36.4% saved)

Profiling

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