2isqrt (example 3.6)

Time bar (total: 15.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample2.0s (13.2%)

Results
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0.0ms1024valid
0.0ms1024valid
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0.0ms512valid
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0.0ms256valid
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0.0ms1024valid
1.0ms1024valid
0.0ms512valid
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0.0ms1024valid
0.0ms1024valid
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Bogosity

preprocess480.0ms (3.1%)

Algorithm
egg-herbie
Rules
208×fma-neg
108×fma-define
68×sub-neg
64×distribute-rgt-in
54×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1710-0-(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(/.f64 1 (sqrt.f64 x))
00-0-(+.f64 x 1)
00-0-1
00-0-(sqrt.f64 x)
00-0-(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
152168
2126164
3208164
4289164
5395164
6494164
7582164
8645164
9673164
10677164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(neg.f64 (-.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) (/.f64 -1 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (sqrt.f64 (neg.f64 x))))
Compiler

Compiled 80 to 58 computations (27.5% saved)

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
40.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize110.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 1 (sqrt.f64 x))
99.6%
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
40.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series12.0ms (0.1%)

Counts
3 → 9
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
3.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@0
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
1.0ms
x
@0
(/.f64 1 (sqrt.f64 x))

rewrite236.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1620×prod-diff
942×log1p-expm1-u
942×expm1-log1p-u
592×fma-neg
86×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
119457
2288257
Stop Event
node limit
Counts
3 → 155
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 1 (sqrt.f64 x))
Outputs
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (pow.f64 x -1/2) (+.f64 0 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) (+.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2) (-.f64 0 (*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 x)) 1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (fma.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) -1))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2) 0) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(fma.f64 1 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(fma.f64 (pow.f64 x -1/2) 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 0)
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) 0)
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))) 0)
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) 0)
(+.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(+.f64 0 (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(fma.f64 1 (pow.f64 (+.f64 1 x) -1/2) 0)
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) 1 0)
(fma.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 0)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) 0)
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) 0)
(+.f64 (pow.f64 x -1/2) 0)
(+.f64 0 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(fma.f64 1 (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -1/2) 1 0)
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) 0)
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) 0)
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) 0)

simplify115.0ms (0.7%)

Algorithm
egg-herbie
Rules
1582×fma-neg
920×add0
642×cancel-sign-sub-inv
452×unswap-sqr
448×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03257700
110317157
235995457
Stop Event
node limit
Counts
164 → 212
Calls
Call 1
Inputs
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (pow.f64 x -1/2) (+.f64 0 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(+.f64 (fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) (+.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2) (-.f64 0 (*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) -1)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (neg.f64 (sqrt.f64 x)) 1)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (fma.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) -1))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2) 0) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(fma.f64 1 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(fma.f64 (pow.f64 x -1/2) 1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1 0)
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) 0)
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))) 0)
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) 0)
(+.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(+.f64 0 (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(fma.f64 1 (pow.f64 (+.f64 1 x) -1/2) 0)
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) 1 0)
(fma.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 0)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) 0)
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) 0)
(+.f64 (pow.f64 x -1/2) 0)
(+.f64 0 (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(fma.f64 1 (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -1/2) 1 0)
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) 0)
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) 0)
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) 0)
Outputs
0
0
0
0
0
1
(+.f64 1 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/2 x (*.f64 3/8 (pow.f64 x 2))))
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))
(+.f64 1 (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -5/16 (pow.f64 x 3)) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/2 x (fma.f64 3/8 (pow.f64 x 2) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 (pow.f64 x 2) (+.f64 3/8 (*.f64 x -5/16))))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 x -1/2) (+.f64 0 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
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(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))) 0)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))) 0)
(*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x))))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 (sqrt.f64 (+.f64 x (pow.f64 x 2)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(fma.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 0)
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 (pow.f64 x 1/4) -2)))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) 0)
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(pow.f64 (+.f64 1 x) -1/2)
(+.f64 0 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(-.f64 (pow.f64 (+.f64 1 x) -1/2) 0)
(pow.f64 (+.f64 1 x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(pow.f64 (+.f64 1 x) -1/2)
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 x) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (*.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x))) 1))
(pow.f64 (+.f64 1 x) -1/2)
(fma.f64 1 (pow.f64 (+.f64 1 x) -1/2) 0)
(pow.f64 (+.f64 1 x) -1/2)
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) 1 0)
(pow.f64 (+.f64 1 x) -1/2)
(fma.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(pow.f64 (+.f64 1 x) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 0)
(pow.f64 (+.f64 1 x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) 0)
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) 0)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(+.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(+.f64 0 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(-.f64 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))))
(/.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 (pow.f64 x 1/4) -2)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2)
(/.f64 1 (sqrt.f64 x))
(neg.f64 (/.f64 -1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) -1))
(/.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(pow.f64 x -1/2)
(fma.f64 1 (pow.f64 x -1/2) 0)
(pow.f64 x -1/2)
(fma.f64 (pow.f64 x -1/2) 1 0)
(pow.f64 x -1/2)
(fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) 0)
(/.f64 1 (sqrt.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) 0)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) 0)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) 0)
(/.f64 1 (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) 0)
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) 0)
(pow.f64 (pow.f64 x 1/4) -2)

eval97.0ms (0.6%)

Compiler

Compiled 4305 to 3426 computations (20.4% saved)

prune117.0ms (0.8%)

Pruning

46 alts after pruning (46 fresh and 0 done)

PrunedKeptTotal
New16646212
Fresh000
Picked101
Done000
Total16746213
Accuracy
41.2%
Counts
213 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.1%
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
7.3%
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
6.7%
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
6.6%
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
6.4%
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
39.2%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))))))
40.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
40.1%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
21.9%
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
40.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
39.2%
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
38.5%
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
27.1%
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
22.5%
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
11.7%
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
40.0%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
31.0%
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
18.1%
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
21.9%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
27.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
31.1%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
12.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
3.2%
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
18.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
29.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
6.8%
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
7.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
29.6%
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
7.0%
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
7.0%
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
6.7%
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
7.3%
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
7.3%
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
9.5%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
7.4%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
7.4%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
7.4%
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
18.7%
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
6.9%
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
7.1%
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) -1/2)))
7.6%
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
7.0%
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
6.6%
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
40.1%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
39.2%
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
37.3%
0
Compiler

Compiled 2168 to 1812 computations (16.4% saved)

localize2.1s (13.8%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.3%
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))
99.3%
(pow.f64 (sqrt.f64 x) -3)
73.0%
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
67.7%
(+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3)))
99.4%
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
99.0%
(cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))
99.0%
(cbrt.f64 (/.f64 1 (+.f64 1 x)))
40.0%
(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
100.0%
(*.f64 x (+.f64 1 x))
99.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
52.5%
(sqrt.f64 (*.f64 x (+.f64 1 x)))
6.5%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
100.0%
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
99.5%
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
84.9%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
56.0%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
Compiler

Compiled 324 to 245 computations (24.4% saved)

series145.0ms (0.9%)

Counts
16 → 114
Calls

48 calls:

TimeVariablePointExpression
95.0ms
x
@-inf
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
5.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
2.0ms
x
@inf
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
2.0ms
x
@-inf
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
2.0ms
x
@0
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

rewrite157.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
356×log1p-expm1-u
356×expm1-log1p-u
340×fma-define
337×pow1
333×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040662
1801537
Stop Event
node limit
Counts
16 → 452
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (+.f64 1 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(*.f64 x (+.f64 1 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (/.f64 1 (+.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(pow.f64 (sqrt.f64 x) -3)
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))
Outputs
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 0)
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) 1 (*.f64 (/.f64 1 (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) 1 (*.f64 (/.f64 1 (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))
(+.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) 1 (*.f64 (/.f64 1 (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 x 1)) (+.f64 x (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (+.f64 1 x) -3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x (pow.f64 x 2)) -1))))
(pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 2)
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 0)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) 0)
(+.f64 (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/6)) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) -1/6) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/6)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 1 (pow.f64 x -1/2) (neg.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))
(+.f64 (fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))
(+.f64 (fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (hypot.f64 (sqrt.f64 x) x)))))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 3) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3) (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) 3) (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(fma.f64 1 (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/6)) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 0)
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(pow.f64 (pow.f64 (+.f64 x (pow.f64 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (pow.f64 x 2)) 3) 1/3)
(log.f64 (pow.f64 (exp.f64 (+.f64 1 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (+.f64 x (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (+.f64 x (pow.f64 x 2))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 1))
(fma.f64 1 x (pow.f64 x 2))
(fma.f64 1 (+.f64 x (pow.f64 x 2)) 0)
(fma.f64 x 1 (pow.f64 x 2))
(fma.f64 x (+.f64 1 x) 0)
(fma.f64 (+.f64 1 x) x 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (hypot.f64 (sqrt.f64 x) x) (hypot.f64 (sqrt.f64 x) x) 0)
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(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (pow.f64 x 2))
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(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
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(/.f64 1 (cbrt.f64 (+.f64 1 x)))
(/.f64 1 (cbrt.f64 (/.f64 (+.f64 1 x) 1)))
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(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 x)) -1)
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(pow.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) 2)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))))))
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(exp.f64 (*.f64 1/3 (neg.f64 (log1p.f64 x))))
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(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 x))) 1))
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(fma.f64 (pow.f64 x -3/4) (pow.f64 x -3/4) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)))
(+.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (/.f64 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 3) (pow.f64 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 1))
(fma.f64 1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(fma.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (/.f64 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 0)
(+.f64 (pow.f64 x -3/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)
(*.f64 1 (pow.f64 x -3/2))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (pow.f64 x -3/4) (pow.f64 x -3/4))
(*.f64 (pow.f64 1 -3/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) -3/2) (pow.f64 (cbrt.f64 x) -3/2))
(*.f64 (pow.f64 (cbrt.f64 x) -3) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) -3) (pow.f64 (sqrt.f64 (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (pow.f64 x -1/4) 3) (pow.f64 (pow.f64 x -1/4) 3))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 1 (pow.f64 (/.f64 (sqrt.f64 x) 1) 3))
(/.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 x)) 3))
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(cbrt.f64 (pow.f64 x -9/2))
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(exp.f64 (*.f64 -3/2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -3/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(fma.f64 1 (pow.f64 x -3/2) 0)
(fma.f64 (/.f64 1 x) (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -3/4) (pow.f64 x -3/4) 0)
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))) 1)
(/.f64 (*.f64 -1 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 1))
(fma.f64 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 0)
(fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) 0)
(fma.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)

simplify221.0ms (1.4%)

Algorithm
egg-herbie
Rules
1204×add0
782×distribute-rgt-in
692×distribute-lft-in
622×times-frac
574×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110726326
1362725604
Stop Event
node limit
Counts
566 → 666
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x))) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 x (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)))))) (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 5/16 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x)))) (*.f64 3/32 (sqrt.f64 x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (*.f64 3/16 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5)))))))))
(/.f64 1/2 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
(-.f64 (+.f64 (*.f64 5/16 (/.f64 1 (*.f64 (pow.f64 x 4) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))))))) (*.f64 3/8 (/.f64 1 (*.f64 (pow.f64 x 3) (exp.f64 (*.f64 -1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))))))
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0
0
0
0
0
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x
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0
0
0
0
0
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x
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0
0
0
0
0
1
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(*.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) (sqrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)) 2)) (-.f64 (pow.f64 x -3/2) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2))))
(/.f64 (+.f64 (pow.f64 x -9/2) (*.f64 -1 (pow.f64 (pow.f64 (+.f64 1 x) -3/2) 3))) (+.f64 (pow.f64 x -3) (-.f64 (pow.f64 (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)) 2) (*.f64 (pow.f64 x -3/2) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2))))))
(pow.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 2)
(log.f64 (exp.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(exp.f64 (log.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 1))
(fma.f64 1 (pow.f64 x -3/2) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)))
(fma.f64 1 (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)) (pow.f64 x -3/2))
(fma.f64 1 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 0)
(fma.f64 (/.f64 1 x) (pow.f64 x -1/2) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)))
(fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))
(fma.f64 (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -3/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 0)
(fma.f64 (/.f64 (sqrt.f64 -1) (pow.f64 (+.f64 1 x) 3/4)) (/.f64 (sqrt.f64 -1) (pow.f64 (+.f64 1 x) 3/4)) (pow.f64 x -3/2))
(fma.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) (sqrt.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) 0)
(fma.f64 (pow.f64 x -3/4) (pow.f64 x -3/4) (*.f64 -1 (pow.f64 (+.f64 1 x) -3/2)))
(+.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (/.f64 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)) (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) 3) (pow.f64 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 1))
(fma.f64 1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(fma.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (/.f64 1 (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) (sqrt.f64 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x -3/2)) (fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 1 x)))) 0)
(+.f64 (pow.f64 x -3/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -3/2))) 1)
(*.f64 1 (pow.f64 x -3/2))
(*.f64 (/.f64 1 x) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (pow.f64 x -3/4) (pow.f64 x -3/4))
(*.f64 (pow.f64 1 -3/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) -3/2) (pow.f64 (cbrt.f64 x) -3/2))
(*.f64 (pow.f64 (cbrt.f64 x) -3) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) -3) (pow.f64 (sqrt.f64 (sqrt.f64 x)) -3))
(*.f64 (pow.f64 (pow.f64 x -1/4) 3) (pow.f64 (pow.f64 x -1/4) 3))
(/.f64 1 (pow.f64 x 3/2))
(/.f64 1 (pow.f64 (/.f64 (sqrt.f64 x) 1) 3))
(/.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 x)) 3))
(log.f64 (exp.f64 (pow.f64 x -3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3/2))))
(cbrt.f64 (pow.f64 x -9/2))
(expm1.f64 (log1p.f64 (pow.f64 x -3/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -3/2)))
(exp.f64 (*.f64 -3/2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -3/2))
(exp.f64 (*.f64 (*.f64 -3/2 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 x)) 3))
(fma.f64 1 (pow.f64 x -3/2) 0)
(fma.f64 (/.f64 1 x) (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -3/4) (pow.f64 x -3/4) 0)
(+.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 0)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))) 1)
(/.f64 (*.f64 -1 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 1))
(fma.f64 1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 0)
(fma.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) 0)
(fma.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)
(fma.f64 (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)
Outputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 x (/.f64 1 x)) 1)
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 1 x))) 1)
(+.f64 x (-.f64 (fma.f64 -1 (pow.f64 x 2) (/.f64 1 x)) 1))
(+.f64 x (+.f64 (-.f64 (/.f64 1 x) (pow.f64 x 2)) -1))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2))) (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 x -1/2)) 2)) (-.f64 (/.f64 1 (+.f64 x (pow.f64 x 1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
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(/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
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1
0
0
0
0
0
0
0
0
x
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(*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))
x
(+.f64 1/2 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
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(+.f64 1/2 (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))))
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0
0
0
0
0
0
0
0
x
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(*.f64 x (+.f64 1 x))
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(*.f64 x (+.f64 1 x))
0
0
0
0
0
1
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1
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(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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1
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(/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))) 0)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x))) 2)) (cbrt.f64 (/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) (sqrt.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))) 0)
(/.f64 (neg.f64 (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 1 x)))

eval569.0ms (3.7%)

Compiler

Compiled 19245 to 15202 computations (21% saved)

prune117.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New65511666
Fresh39241
Picked415
Done000
Total69814712
Accuracy
83.9%
Counts
712 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.6%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
39.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
39.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
39.1%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
7.9%
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
7.9%
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
40.0%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
29.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
83.6%
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
83.6%
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
39.1%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
39.1%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
63.5%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
37.3%
0
Compiler

Compiled 366 to 288 computations (21.3% saved)

localize651.0ms (4.2%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
6.5%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.6%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
6.5%
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
99.8%
(sqrt.f64 (/.f64 1 x))
99.5%
(/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x))))
84.9%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
56.0%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
100.0%
(pow.f64 x 1/2)
100.0%
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
100.0%
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
99.6%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
52.5%
(sqrt.f64 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 210 to 143 computations (31.9% saved)

series29.0ms (0.2%)

Counts
10 → 22
Calls

30 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
4.0ms
x
@inf
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
2.0ms
x
@-inf
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
1.0ms
x
@-inf
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
1.0ms
x
@0
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))

rewrite114.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
358×frac-times
287×log1p-expm1-u
287×expm1-log1p-u
284×add-cube-cbrt
281×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034335
1666317
Stop Event
node limit
Counts
10 → 326
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(pow.f64 x 1/2)
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(sqrt.f64 (/.f64 1 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
Outputs
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(fma.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 0)
(+.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2) (+.f64 x (pow.f64 x 2)))) (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (+.f64 x (pow.f64 x 2)))) (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 1) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (+.f64 x (pow.f64 x 2)))) (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(pow.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 2)
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 x) x) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) -1)
(pow.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2) (+.f64 x (pow.f64 x 2))))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3) (pow.f64 (hypot.f64 (sqrt.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1))
(fma.f64 1 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 0)
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (hypot.f64 (sqrt.f64 x) x)) 0)
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2) (+.f64 x (pow.f64 x 2)))) (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (/.f64 1 (sqrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1)
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)) (+.f64 x (-.f64 (+.f64 1 x) (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 x (+.f64 1 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 x (-.f64 (+.f64 1 x) (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 3) 0) (+.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2) (-.f64 0 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 0))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1))
(fma.f64 1 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
(fma.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
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(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))) 1)
(*.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2)
(pow.f64 (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 1))
(fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 0)
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) (/.f64 (sqrt.f64 x) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))) 1)
(*.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2)
(pow.f64 (/.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 1))
(fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)

simplify145.0ms (0.9%)

Algorithm
egg-herbie
Rules
874×associate-*r*
874×fma-define
866×distribute-rgt-in
862×add0
798×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071714799
1237914322
Stop Event
node limit
Counts
348 → 426
Calls
Call 1
Inputs
1
1
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
0
0
0
0
0
0
0
0
(*.f64 -8 x)
0
0
0
0
0
0
0
0
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
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(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3))
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(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 1))
(fma.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
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(fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 0)
(+.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x))))
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(pow.f64 (*.f64 2 (pow.f64 x -1/2)) -1)
(pow.f64 (/.f64 1/2 (pow.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/2 (pow.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (pow.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/2 (pow.f64 x -1/2))) 2)
(pow.f64 (/.f64 (*.f64 2 (pow.f64 x -1/2)) 1) -1)
(sqrt.f64 (/.f64 1/4 (/.f64 1 x)))
(log.f64 (exp.f64 (/.f64 1/2 (pow.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (pow.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (pow.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (pow.f64 x -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (pow.f64 x -1/2))))
(exp.f64 (log.f64 (/.f64 1/2 (pow.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -1/2))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (pow.f64 x -1/2))) 1))
(fma.f64 1 (/.f64 1/2 (pow.f64 x -1/2)) 0)
(fma.f64 (cbrt.f64 (/.f64 1/4 (/.f64 1 x))) (cbrt.f64 (/.f64 1/2 (pow.f64 x -1/2))) 0)
(fma.f64 (sqrt.f64 (/.f64 1/2 (pow.f64 x -1/2))) (sqrt.f64 (/.f64 1/2 (pow.f64 x -1/2))) 0)
(+.f64 (pow.f64 x -1/2) 0)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) x))
(*.f64 (/.f64 (pow.f64 x 1/4) (sqrt.f64 x)) (/.f64 (pow.f64 x 1/4) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (/.f64 x 1)))
(/.f64 (sqrt.f64 x) x)
(/.f64 -1 (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (/.f64 1 x) 3/2) 0) (+.f64 (/.f64 1 x) (-.f64 0 (*.f64 (pow.f64 x -1/2) 0))))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (/.f64 1 x) 1/2)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(fabs.f64 (pow.f64 x -1/2))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 x)))
(fma.f64 1 (pow.f64 x -1/2) 0)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) 0)
(fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)) 0)
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))) 1)
(*.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2)
(pow.f64 (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 1))
(fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)) 0)
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) (/.f64 (sqrt.f64 x) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))) 1)
(*.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2)
(pow.f64 (/.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 1))
(fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)
Outputs
1
1
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
0
0
0
0
0
0
0
0
(*.f64 -8 x)
(*.f64 x -8)
0
0
0
0
0
0
0
0
(+.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 0)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 2)))
(*.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1) (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -1))
(pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2)
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) 3)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) 1) -1)
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3))
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 2) (sqrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))) (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))) (pow.f64 (cbrt.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2))) 2)) (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 1)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 3)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3) 1/3)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(pow.f64 (/.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1)
(/.f64 1 (/.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (/.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 2))
(fabs.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2))))
(log.f64 (exp.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 3))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))) 3)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 1))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(fma.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x)))) 0)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))) 0)
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x (+.f64 (/.f64 -1/8 x) 1/2)))

eval390.0ms (2.5%)

Compiler

Compiled 14789 to 10174 computations (31.2% saved)

prune179.0ms (1.2%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New69322715
Fresh088
Picked325
Done011
Total69633729
Accuracy
100.0%
Counts
729 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 3)
83.5%
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (sqrt.f64 (*.f64 x (+.f64 1 x))))
83.7%
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
98.7%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
99.0%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
99.2%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
83.3%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 1 x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
83.6%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
97.7%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
39.1%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
39.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
39.1%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
99.4%
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
83.4%
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
66.0%
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2) (fma.f64 x x x))) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x))))
7.9%
(/.f64 1 (+.f64 x (sqrt.f64 x)))
7.8%
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
99.3%
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
7.9%
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
7.8%
(/.f64 1 x)
97.5%
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
40.0%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
29.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
99.4%
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
83.6%
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
83.6%
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
81.8%
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
6.7%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
39.1%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
98.9%
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 x)))
99.0%
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
63.5%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
37.3%
0
Compiler

Compiled 1029 to 780 computations (24.2% saved)

localize1.2s (7.9%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
99.6%
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
99.3%
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
100.0%
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
99.6%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
99.6%
(/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
99.5%
(/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x))))
84.9%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
67.8%
(/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x))
56.0%
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
100.0%
(/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
100.0%
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
99.6%
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
99.2%
(*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 264 to 187 computations (29.2% saved)

series22.0ms (0.1%)

Counts
9 → 3
Calls

27 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
2.0ms
x
@0
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
1.0ms
x
@0
(/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
1.0ms
x
@0
(*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
1.0ms
x
@-inf
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))

rewrite128.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
338×frac-times
261×add0
259×log1p-expm1-u
259×expm1-log1p-u
255×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032435
1596356
Stop Event
node limit
Counts
9 → 342
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
Outputs
(+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0)
(+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1)
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 1)
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) (-.f64 0 (*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) -1)
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 x (+.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) 0) (-.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))
(/.f64 (-.f64 (*.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
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(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) -1/2) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 2) (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (/.f64 (/.f64 (pow.f64 x -1/4) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) 1) (/.f64 (/.f64 (pow.f64 x -1/4) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 x -1/4) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (cbrt.f64 (+.f64 1 x))) (/.f64 (/.f64 (pow.f64 x -1/4) (hypot.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) -1/2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (/.f64 (pow.f64 x -1/4) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 2)
(pow.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) (pow.f64 (pow.f64 x -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) (pow.f64 (+.f64 1 x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2) 0)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)
(fma.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)

simplify189.0ms (1.2%)

Algorithm
egg-herbie
Rules
1286×times-frac
1142×distribute-rgt-in
1028×distribute-lft-in
929×add0
872×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071219046
1251918564
Stop Event
node limit
Counts
345 → 465
Calls
Call 1
Inputs
1
1
2
(+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0)
(+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1)
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 1)
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) (-.f64 0 (*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) -1)
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 x (+.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) 0) (-.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))
(/.f64 (-.f64 (*.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x)))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 (+.f64 1 x) 3/2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 1))
(fma.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) (+.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(+.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))) 1)
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))))
(/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)) (-.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 x -1/2)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(/.f64 (-.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)) 0) (-.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0))
(pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 2)
(pow.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3))
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(*.f64 (/.f64 (pow.f64 x -1/4) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (/.f64 (pow.f64 x -1/4) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 2)
(pow.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) (pow.f64 (pow.f64 x -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) (pow.f64 (+.f64 1 x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1))
(fma.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) (pow.f64 x -1/2) 0)
(fma.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2) 0)
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)
(fma.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)
Outputs
1
1
2
(+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(+.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 1)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(/.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) (-.f64 0 (*.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))))
(/.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 3) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2))
(/.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 3) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) -1)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 x (+.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x (+.f64 1 x) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x (pow.f64 x 2))) 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (fma.f64 x (+.f64 1 x) (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 x (+.f64 1 x) (-.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x (pow.f64 x 2))) 3) (pow.f64 (+.f64 1 x) 3)) (-.f64 (fma.f64 x (+.f64 1 x) (pow.f64 (+.f64 1 x) 2)) (*.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2) 0) (-.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0))
(/.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
(/.f64 (-.f64 (+.f64 x (pow.f64 x 2)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (+.f64 x (pow.f64 x 2))) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (sqrt.f64 (*.f64 (+.f64 1 x) x))) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 (+.f64 1 x) x)) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
(/.f64 (-.f64 (+.f64 x (pow.f64 x 2)) (pow.f64 (+.f64 1 x) 2)) (-.f64 (sqrt.f64 (+.f64 x (pow.f64 x 2))) (+.f64 1 x)))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 1)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 2)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2))
(fabs.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (pow.f64 (+.f64 1 x) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 1))
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(fma.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 0)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x) (+.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 0)
(*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)) 0)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 2)) (cbrt.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))))
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 -1 (neg.f64 (/.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) (+.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2)) (-.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0))))
(/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))) 3) (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
(/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2))))) 3) (/.f64 1 (*.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 2) x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 3) (pow.f64 (pow.f64 x -1/2) 3)))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) (pow.f64 (+.f64 1 x) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 3)))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 1))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(fma.f64 1 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) (pow.f64 x -1/2) 0)
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(fma.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))) 0)
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))
(fma.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2) 0)
(/.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))) (cbrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))) 2) x))))
(fma.f64 (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)))) 0)
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 x (pow.f64 x 2)))))

eval629.0ms (4.1%)

Compiler

Compiled 23671 to 17940 computations (24.2% saved)

prune260.0ms (1.7%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1008161024
Fresh17825
Picked235
Done123
Total1028291057
Accuracy
100.0%
Counts
1057 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (+.f64 x 1/2))
83.7%
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
99.4%
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
98.7%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
97.7%
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
39.7%
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
39.4%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
39.1%
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
99.4%
(/.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
98.7%
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (+.f64 x 1/2))
98.3%
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 x 1/2))
83.7%
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
7.9%
(/.f64 1 (+.f64 x (sqrt.f64 x)))
7.8%
(/.f64 1 (+.f64 x 1/2))
98.4%
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
7.8%
(/.f64 1 x)
97.5%
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
40.0%
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
29.7%
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
83.7%
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
83.6%
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
49.4%
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
81.8%
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
6.7%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
39.1%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
63.5%
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
66.3%
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
4.4%
2
37.3%
0
Compiler

Compiled 2183 to 1674 computations (23.3% saved)

regimes57.0ms (0.4%)

Counts
96 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (+.f64 x 1/2))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (+.f64 x 1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 1 x)))))))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) 3)
(fma.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 1 x))) (cbrt.f64 (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (pow.f64 (+.f64 1 x) -1/2) 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 1 x))))))
(fma.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3))) (+.f64 (/.f64 1 x) (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (-.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (pow.f64 x -1/2)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (*.f64 (hypot.f64 (sqrt.f64 x) x) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))) (sqrt.f64 x)))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1))) (fma.f64 (pow.f64 (+.f64 1 x) -1/2) -1 (*.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) -1)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2) (fma.f64 x x x))) (cbrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x))))
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (*.f64 0 (/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (fma.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (+.f64 (pow.f64 (pow.f64 x 1/4) -2) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x))))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))) (fma.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))
Outputs
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
Calls

2 calls:

41.0ms
x
9.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes40.0ms (0.3%)

Counts
64 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (+.f64 x 1/2))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (+.f64 x 1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
Outputs
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
Calls

2 calls:

30.0ms
x
5.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes40.0ms (0.3%)

Counts
61 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -2)) (+.f64 x 1/2))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 1 x) 1/4)) -2) (+.f64 x 1/2))
(+.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) 3)) (+.f64 x 1/2))
Outputs
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
Calls

2 calls:

31.0ms
x
5.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes37.0ms (0.2%)

Counts
56 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 1/2 (log1p.f64 x)))))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))) 2)))
(/.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 x -1/4) 1) (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x x)) (+.f64 x (pow.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) -3)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (log.f64 (pow.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2))
(-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -1/2) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (pow.f64 (+.f64 1 x) -1/2))
Outputs
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
Calls

2 calls:

26.0ms
x
7.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes29.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (*.f64 x (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 1 x))) (+.f64 1 x)) (pow.f64 x -1/2)))
Outputs
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
Calls

2 calls:

22.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
98.7%1x
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes19.0ms (0.1%)

Counts
29 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
Outputs
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
Calls

2 calls:

14.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes21.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
Outputs
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
Calls

2 calls:

16.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
97.7%1x
97.7%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes18.0ms (0.1%)

Counts
27 → 1
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 1 (*.f64 -1/2 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 1/2 (sqrt.f64 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (*.f64 2 (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) x) (*.f64 (*.f64 (pow.f64 x -1/2) 2) (*.f64 x (+.f64 1 x))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (*.f64 2 (/.f64 (pow.f64 (/.f64 1 x) 3/2) (/.f64 1 x)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) x)
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2))
Outputs
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
Calls

2 calls:

13.0ms
x
3.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
Outputs
(/.f64 1 (+.f64 x (sqrt.f64 x)))
0
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
39.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
(/.f64 1 (+.f64 x 1/2))
(/.f64 1 (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
Outputs
(/.f64 1 (+.f64 x 1/2))
0
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
39.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
0
2
(/.f64 1 x)
Outputs
(/.f64 1 x)
0
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
39.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -21.6b remaining (-53.9%)

Threshold costs -21.6b (-53.9%)

Counts
2 → 1
Calls
Call 1
Inputs
0
2
Outputs
0
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
37.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch112.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
112.0ms
1.8035034469433888e+153
5.151409964471359e+153
Results
105.0ms64×1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
2.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
Compiler

Compiled 71 to 58 computations (18.3% saved)

bsearch86.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
86.0ms
1.8035034469433888e+153
5.151409964471359e+153
Results
81.0ms64×1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
Compiler

Compiled 66 to 58 computations (12.1% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.8035034469433888e+153
5.151409964471359e+153
Results
18.0ms64×1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
0.0ms1024valid
Compiler

Compiled 56 to 48 computations (14.3% saved)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
72×+-commutative
36×add0
18×*-commutative
10×sub-neg
unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050504
199504
2140504
3155504
4165504
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 (+.f64 x (sqrt.f64 x))) 0)
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 (+.f64 x 1/2)) 0)
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 x) 0)
0
Outputs
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 x -1/2) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (*.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 1/2 (-.f64 x (/.f64 1/8 x))))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 x 1/2))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 x 1/2))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 x 1/2)))
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) x)
(/.f64 1/2 (*.f64 (pow.f64 x 1/2) (+.f64 1 x)))
(/.f64 1/2 (*.f64 (+.f64 x 1) (pow.f64 x 1/2)))
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 (+.f64 x (sqrt.f64 x))) 0)
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 (+.f64 x 1/2)) 0)
(if (<=.f64 x 4600000000000000259272652606512016799213132235005633869259928535246893330689236690036551753838824648947751718403393963071093676518791710391413096650375168) (/.f64 1 x) 0)
0
Compiler

Compiled 153 to 118 computations (22.9% saved)

soundness4.3s (27.9%)

Rules
1620×prod-diff
1620×prod-diff
1286×times-frac
1286×times-frac
1286×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
119457
2288257
040662
1801537
0110726326
1362725604
034335
1666317
071714799
1237914322
01373
119457
2288257
0110726326
1362725604
0110726326
1362725604
034335
1666317
071714799
1237914322
034335
1666317
071714799
1237914322
032435
1596356
071219046
1251918564
032435
1596356
071219046
1251918564
0110726326
1362725604
034335
1666317
071714799
1237914322
032435
1596356
071219046
1251918564
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 2999 to 2292 computations (23.6% saved)

end0.0ms (0%)

preprocess112.0ms (0.7%)

Compiler

Compiled 340 to 244 computations (28.2% saved)

Profiling

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