Kahan's exp quotient

Time bar (total: 2.9s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 8 to 6 computations (25% saved)

sample1.3s (46.7%)

Results
463.0ms3023×256valid
164.0ms2033×256infinite
523.0ms2029×1024valid
145.0ms1033×512valid
34.0ms138×2048valid
Bogosity

preprocess208.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
1782×div-sub
1494×fma-neg
1012×times-frac
636×distribute-lft-neg-in
552×distribute-rgt-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-0-(-.f64 (exp.f64 x) 1)
00-0-x
00-0-(/.f64 (-.f64 (exp.f64 x) 1) x)
00-0-1
00-0-(exp.f64 x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01588
13988
26886
314780
438480
5103680
6409580
7762780
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))
Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 x))
(*.f64 1 (/.f64 (expm1.f64 (neg.f64 x)) x))
(/.f64 (expm1.f64 (neg.f64 x)) x)
Compiler

Compiled 39 to 23 computations (41% saved)

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

localize20.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (expm1.f64 x) x)
1.0ms
x
@inf
(/.f64 (expm1.f64 x) x)
0.0ms
x
@0
(/.f64 (expm1.f64 x) x)

rewrite174.0ms (6.1%)

Algorithm
1×batch-egg-rewrite
Rules
508×unpow-prod-down
354×cbrt-prod
352×log-prod
331×log1p-expm1-u
330×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
16817
288517
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
Outputs
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify84.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
960×fma-def
714×associate-*r/
690×unswap-sqr
682×distribute-lft-in
626×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152185
15032106
215972042
378962042
Stop Event
1×node limit
Counts
76 → 100
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5/2))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval23.0ms (0.8%)

Compiler

Compiled 1133 to 517 computations (54.4% saved)

prune15.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh000
Picked011
Done000
Total965101
Accuracy
100.0%
Counts
101 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
▶79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶47.8%
(+.f64 1 (*.f64 1/2 x))
▶79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
▶79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶47.8%
(+.f64 1 (*.f64 1/2 x))
▶79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize168.0ms (5.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (expm1.f64 x) x)
✓100.0%
(+.f64 1 (/.f64 (expm1.f64 x) x))
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
100.0%
(/.f64 (expm1.f64 x) x)
✓100.0%
(exp.f64 (/.f64 (expm1.f64 x) x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
Compiler

Compiled 53 to 21 computations (60.4% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(exp.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@inf
(exp.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@-inf
(exp.f64 (/.f64 (expm1.f64 x) x))
0.0ms
x
@0
(+.f64 1 (/.f64 (expm1.f64 x) x))
0.0ms
x
@0
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))

rewrite119.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
892×fma-def
886×prod-diff
719×log1p-expm1-u
718×expm1-log1p-u
620×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01378
115978
2218978
Stop Event
1×node limit
Counts
4 → 310
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
Outputs
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 -1 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(+.f64 (*.f64 2 (*.f64 1/3 (/.f64 (expm1.f64 x) x))) (*.f64 1/3 (/.f64 (expm1.f64 x) x)))
(+.f64 (*.f64 1/3 (/.f64 (expm1.f64 x) x)) (*.f64 2 (*.f64 1/3 (/.f64 (expm1.f64 x) x))))
(+.f64 (*.f64 1/2 (/.f64 (expm1.f64 x) x)) (*.f64 1/2 (/.f64 (expm1.f64 x) x)))
(+.f64 (log.f64 (exp.f64 1)) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (log.f64 (exp.f64 1)))
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
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(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2)) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) -1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)

simplify183.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
794×div-sub
786×log-prod
776×exp-prod
690×cube-prod
402×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041810994
195110694
2432110694
Stop Event
1×node limit
Counts
358 → 276
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 1/2 (*.f64 x (exp.f64 1))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 7/24 (*.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 1/2 (*.f64 x (exp.f64 1)))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 7/48 (*.f64 (pow.f64 x 3) (exp.f64 1))) (+.f64 (*.f64 7/24 (*.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 1/2 (*.f64 x (exp.f64 1))))))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
1
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
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2
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1
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1
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(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 3 (*.f64 1/3 (/.f64 (expm1.f64 x) x)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 2 (*.f64 1/2 (/.f64 (expm1.f64 x) x)))
(*.f64 1/3 (*.f64 3 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (-.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2)) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) -1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)
Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
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1
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1
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1
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2
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1
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1
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(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
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(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(*.f64 (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (log.f64 (exp.f64 1)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (neg.f64 (-.f64 1 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1) (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) 1) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1/3)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 2)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1) (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(pow.f64 (/.f64 (-.f64 1 (/.f64 (expm1.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 x) (/.f64 1 x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (expm1.f64 x) x) 1 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2) -1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (+.f64 (/.f64 (expm1.f64 x) x) (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2)))))
(fma.f64 (/.f64 1 x) (expm1.f64 x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(fma.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1 -1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)) -1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 1)
(+.f64 1 (/.f64 (expm1.f64 x) x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)
(fma.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1)

eval247.0ms (8.6%)

Compiler

Compiled 9674 to 5047 computations (47.8% saved)

prune67.0ms (2.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New6760676
Fresh011
Picked033
Done011
Total6765681
Accuracy
100.0%
Counts
681 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓47.8%
(+.f64 1 (*.f64 1/2 x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓47.8%
(+.f64 1 (*.f64 1/2 x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓47.8%
(+.f64 1 (*.f64 1/2 x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
✓100.0%
(/.f64 (expm1.f64 x) x)
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓47.8%
(+.f64 1 (*.f64 1/2 x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (expm1.f64 x) x)
✓79.5%
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓47.8%
(+.f64 1 (*.f64 1/2 x))
✓79.5%
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
47.1%
1
Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes9.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
Outputs
(/.f64 (expm1.f64 x) x)
Calls

2 calls:

5.0ms
x
3.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) 1) x)
Compiler

Compiled 40 to 24 computations (40% saved)

regimes4.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.8%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
47.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
11934
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
1
Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
1
Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness152.0ms (5.3%)

Rules
1782×div-sub
1494×fma-neg
1012×times-frac
636×distribute-lft-neg-in
552×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01588
13988
26886
314780
438480
5103680
6409580
7762780
Stop Event
1×node limit
Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess41.0ms (1.4%)

Compiler

Compiled 82 to 56 computations (31.7% saved)

Profiling

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