sqrtexp (problem 3.4.4)

Time bar (total: 2.8s)

analyze128.0ms (4.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
53.1%53.1%46.9%0%0%0%0%6
54.7%54.7%45.3%0%0%0%0%7
55.5%55.4%44.5%0%0%0%0%8
55.9%55.8%44.1%0%0%0%0%9
56.1%56%43.9%0%0%0%0%10
56.2%56.1%43.8%0%0%0%0%11
56.2%56.2%43.8%0%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.0s (73.3%)

Results
1.0s2737×body1024valid
434.0ms3884×body256valid
269.0ms1335×body512valid
205.0ms2607×body256unsamplable
107.0ms250×body2048valid
6.0ms50×body256infinite
Bogosity

preprocess185.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
1350×associate-/l*
1124×associate-*r*
1040×associate-/r*
904×associate-*l*
680×fma-def
Problems
165×(-.f64 (exp.f64 (*.f64 2 x)) 1)
81×No Errors
7×(-.f64 (exp.f64 x) 1)
3×(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023101
15097
28097
315997
437776
5150358
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
Compiler

Compiled 60 to 45 computations (25% saved)

eval1.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize26.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 1 (exp.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite154.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
928×frac-times
406×unpow-prod-down
324×log1p-expm1-u
324×expm1-log1p-u
305×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
17614
289014
Stop Event
1×node limit
Counts
1 → 66
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 x))
Outputs
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)

simplify71.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1208×fma-def
898×div-sub
672×fma-neg
672×unswap-sqr
596×hypot-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02122946
15052880
215772640
356732560
Stop Event
1×node limit
Counts
70 → 108
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) x)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 5/2))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 2 x))) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (neg.f64 (expm1.f64 (*.f64 2 x))))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (*.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (neg.f64 (expm1.f64 (*.f64 2 x))))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 2 x))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 2 x))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (pow.f64 (exp.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (pow.f64 (exp.f64 x) 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (*.f64 (neg.f64 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))

eval40.0ms (1.4%)

Compiler

Compiled 1689 to 1141 computations (32.4% saved)

prune13.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh000
Picked011
Done000
Total1063109
Accuracy
100.0%
Counts
109 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.8%
(sqrt.f64 (+.f64 2 x))
✓100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶72.7%
(sqrt.f64 2)
▶66.8%
(sqrt.f64 (+.f64 2 x))
✓100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶72.7%
(sqrt.f64 2)
Compiler

Compiled 28 to 24 computations (14.3% saved)

localize25.0ms (0.9%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.8%
(sqrt.f64 (+.f64 2 x))
✓100.0%
(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓72.7%
(sqrt.f64 2)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes9.0ms (0.3%)

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

3 calls:

4.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
2.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
100.0%1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 51 to 41 computations (19.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -4.2b remaining (-24.1%)

Threshold costs -4.2b (-24.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
72.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
11523
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness58.0ms (2.1%)

Rules
1350×associate-/l*
1124×associate-*r*
1040×associate-/r*
904×associate-*l*
680×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023101
15097
28097
315997
437776
5150358
Stop Event
1×node limit
Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess24.0ms (0.9%)

Compiler

Compiled 42 to 36 computations (14.3% saved)

Profiling

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