expax (section 3.5)

Time bar (total: 2.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (73.4%)

Results
520.0ms1122×body2048valid
458.0ms2838×body256valid
302.0ms1344×body1024valid
165.0ms2099×body256infinite
130.0ms853×body512valid
Bogosity

preprocess112.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
618×distribute-lft-in
586×distribute-rgt-in
460×associate-*r/
388×associate-/r*
310×unswap-sqr
Problems
160×No Errors
96×(-.f64 (exp.f64 (*.f64 a x)) 1)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02393
15093
27793
315193
434193
582493
6263493
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(-.f64 (exp.f64 (*.f64 x a)) 1)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(expm1.f64 (*.f64 x (neg.f64 a)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(expm1.f64 (*.f64 x (neg.f64 a)))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(expm1.f64 (*.f64 a x))
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize24.0ms (1.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@0
(expm1.f64 (*.f64 a x))
0.0ms
x
@0
(expm1.f64 (*.f64 a x))
0.0ms
a
@-inf
(expm1.f64 (*.f64 a x))
0.0ms
a
@inf
(expm1.f64 (*.f64 a x))
0.0ms
x
@-inf
(expm1.f64 (*.f64 a x))

rewrite161.0ms (7.5%)

Algorithm
1×batch-egg-rewrite
Rules
581×associate-*l*
297×pow1
274×add-exp-log
267×add-log-exp
265×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
18217
289217
Stop Event
1×node limit
Counts
1 → 60
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
Outputs
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) x)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (-.f64 (pow.f64 (exp.f64 a) x) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)

simplify83.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
771×associate-/l*
385×associate-*r/
373×unswap-sqr
312×distribute-lft-out
299×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01833636
14153636
214383024
349293024
Stop Event
1×node limit
Counts
84 → 87
Calls
Call 1
Inputs
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 -1 (pow.f64 (exp.f64 a) x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) x)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (-.f64 (pow.f64 (exp.f64 a) x) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
Outputs
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))
(*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))))
(fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2)))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))
(*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x)))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x)))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))))
(fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2)) (*.f64 a x))))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/24 (*.f64 (pow.f64 a 4) (pow.f64 x 4)) (*.f64 x (+.f64 a (*.f64 x (*.f64 1/2 (pow.f64 a 2)))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(+.f64 -1 (pow.f64 (exp.f64 a) x))
(expm1.f64 (*.f64 a x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 (*.f64 a x))) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(*.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 (expm1.f64 (*.f64 a x)) (log.f64 (E.f64)))
(expm1.f64 (*.f64 a x))
(*.f64 1 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 a x))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4))) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) 1))
(expm1.f64 (*.f64 a x))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5/2)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5/2))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 4)) 2)))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) x)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) (-.f64 (pow.f64 (exp.f64 a) x) -1))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) x) -1))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1) 1) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) -1)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 x) a))) (/.f64 -1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 a) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 a) x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 a) x) (-.f64 (pow.f64 (exp.f64 a) (*.f64 x 2)) -1)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/2)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))

eval20.0ms (0.9%)

Compiler

Compiled 1320 to 633 computations (52% saved)

prune11.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh000
Picked011
Done000
Total86288
Accuracy
100.0%
Counts
88 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
▶54.0%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize17.0ms (0.8%)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.0%
(*.f64 a x)
✓100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 26 to 14 computations (46.2% saved)

regimes15.0ms (0.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 a x)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
Outputs
(expm1.f64 (*.f64 a x))
Calls

5 calls:

3.0ms
a
3.0ms
x
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) 1)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 40 to 24 computations (40% saved)

regimes9.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 a x)
Outputs
(*.f64 a x)
Calls

3 calls:

4.0ms
a
3.0ms
x
2.0ms
(*.f64 a x)
Results
AccuracySegmentsBranch
54.0%1a
54.0%1x
54.0%1(*.f64 a x)
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
11130
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Outputs
(expm1.f64 (*.f64 a x))
(*.f64 a x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness74.0ms (3.4%)

Rules
618×distribute-lft-in
586×distribute-rgt-in
460×associate-*r/
388×associate-/r*
310×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02393
15093
27793
315193
434193
582493
6263493
Stop Event
1×node limit
Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess41.0ms (1.9%)

Remove

(sort a x)

Compiler

Compiled 114 to 68 computations (40.4% saved)

Profiling

Loading profile data...