Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 4.2s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (25.8%)

Results
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Bogosity

preprocess170.0ms (4.1%)

Algorithm
egg-herbie
Rules
408×fma-define
220×fma-neg
110×associate-*l*
78×div-sub
76×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
00-0-x
00-0-(sqrt.f64 (+.f64 x 1))
00-0-(+.f64 x 1)
00-0-(+.f64 1 (sqrt.f64 (+.f64 x 1)))
00-0-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017136
137120
267116
3140116
4296116
5512116
6801116
7992116
81054116
91090116
101091116
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 x (-.f64 -1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x))))
Compiler

Compiled 59 to 45 computations (23.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize47.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

series6.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

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

rewrite225.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
1212×unpow-prod-down
848×prod-diff
675×log1p-expm1-u
675×expm1-log1p-u
622×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
113758
2194758
Stop Event
node limit
Counts
3 → 209
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
Outputs
(+.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/3) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/3) (pow.f64 (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 1/3) (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/3) (pow.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1))
(pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(log.f64 (/.f64 1 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (log.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/3) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1/3) (pow.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)

simplify129.0ms (3.1%)

Algorithm
egg-herbie
Rules
1050×fma-neg
790×associate-*r*
774×associate-*l*
742×exp-prod
576×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05468047
113477291
255167039
Stop Event
node limit
Counts
221 → 312
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) 1)
(+.f64 0 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(expm1.f64 (log1p.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(expm1.f64 (log1p.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/3))
(*.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 1 1/3) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(/.f64 (*.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
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(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3) (pow.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 3/4)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3/2)))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 (pow.f64 (+.f64 x 1) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(sqrt.f64 (+.f64 x 1))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(sqrt.f64 (+.f64 x 1))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(sqrt.f64 (+.f64 x 1))
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(+.f64 -1 (/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 x (-.f64 1 (sqrt.f64 (+.f64 x 1)))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (-.f64 2 (sqrt.f64 (+.f64 x 1))))))

eval135.0ms (3.3%)

Compiler

Compiled 5403 to 4459 computations (17.5% saved)

prune46.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3066312
Fresh000
Picked011
Done000
Total3067313
Accuracy
100.0%
Counts
313 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.9%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
64.5%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
41.5%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
68.9%
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
Compiler

Compiled 113 to 87 computations (23% saved)

localize230.0ms (5.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
69.3%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
100.0%
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
100.0%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
100.0%
(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
99.8%
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
Compiler

Compiled 106 to 76 computations (28.3% saved)

series18.0ms (0.4%)

Counts
6 → 44
Calls

18 calls:

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

rewrite165.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1130×log1p-expm1-u
370×expm1-log1p-u
208×associate-*r*
172×add-cube-cbrt
169×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023151
1373127
25721127
Stop Event
node limit
Counts
6 → 265
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 x 1/4) (/.f64 (pow.f64 x 1/4) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 x 1/4) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (pow.f64 x 1/4) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1)
(neg.f64 (/.f64 (sqrt.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x 1/2 2)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (-.f64 0 (*.f64 x 1/2)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x 1/2 2)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (*.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(*.f64 1 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(fma.f64 x 1/2 2)
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)

simplify193.0ms (4.6%)

Algorithm
egg-herbie
Rules
1614×fma-define
600×log-prod
508×cancel-sign-sub-inv
444×cube-prod
424×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04609937
111419645
241859639
Stop Event
node limit
Counts
309 → 282
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
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2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
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2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
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2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
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(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
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(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
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(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (*.f64 (pow.f64 x 2) 1/4) x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -2)))
(/.f64 (-.f64 4 (*.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(fma.f64 x 1/2 2)
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (*.f64 x 1/2)) 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (*.f64 (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))) (/.f64 (pow.f64 x 1/4) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (+.f64 (*.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(fma.f64 (pow.f64 x 3) 1/32 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
(fma.f64 (pow.f64 x 4) -1/128 (fma.f64 (pow.f64 x 3) 1/32 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(fma.f64 (pow.f64 x 3) 1/32 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) -1/128 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32))))
(fma.f64 (pow.f64 x 4) -1/128 (fma.f64 (pow.f64 x 3) 1/32 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)))
(+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (-.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
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(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

eval146.0ms (3.5%)

Compiler

Compiled 5910 to 4386 computations (25.8% saved)

prune52.0ms (1.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New3642366
Fresh011
Picked055
Done011
Total3649373
Accuracy
100.0%
Counts
373 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
66.9%
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
64.5%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
41.5%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
66.9%
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
68.9%
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
5.2%
2
Compiler

Compiled 72 to 56 computations (22.2% saved)

localize77.0ms (1.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (fma.f64 x 1/2 2))
99.9%
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
Compiler

Compiled 49 to 38 computations (22.4% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (fma.f64 x 1/2 2))
1.0ms
x
@0
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
1.0ms
x
@-inf
(/.f64 1 (fma.f64 x 1/2 2))
1.0ms
x
@0
(/.f64 1 (fma.f64 x 1/2 2))
1.0ms
x
@inf
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)

rewrite74.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
860×unpow-prod-down
458×log-prod
446×cbrt-prod
408×log1p-expm1-u
408×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
110139
2116039
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(/.f64 1 (fma.f64 x 1/2 2))
Outputs
(+.f64 0 (/.f64 x (fma.f64 x 1/2 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x 1) (fma.f64 x 1/2 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) x)) (cbrt.f64 (fma.f64 x 1/2 2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2))
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 1/2 2))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x 1/2 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(neg.f64 (/.f64 -1 (fma.f64 x 1/2 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -3/2) (pow.f64 (fma.f64 x 1/2 2) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 1/2 2))) 2))

simplify119.0ms (2.9%)

Algorithm
egg-herbie
Rules
1712×fma-neg
1110×fma-define
918×times-frac
720×unswap-sqr
434×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503037
16062986
216432937
373942937
Stop Event
node limit
Counts
103 → 152
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 x (fma.f64 x 1/2 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 (/.f64 x 1) (fma.f64 x 1/2 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) x)) (cbrt.f64 (fma.f64 x 1/2 2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2))
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 1/2 2))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x 1/2 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(neg.f64 (/.f64 -1 (fma.f64 x 1/2 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -3/2) (pow.f64 (fma.f64 x 1/2 2) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 1/2 2))) 2))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/32 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/128 (pow.f64 x 4)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x))))
(fma.f64 -1/128 (pow.f64 x 4) (fma.f64 1/32 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (/.f64 8 x))
(+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (pow.f64 x 2))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x))) (/.f64 128 (pow.f64 x 3)))
(+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/8 x))
(+.f64 1/2 (*.f64 x -1/8))
(fma.f64 x -1/8 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 1/32 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -1/8 x (*.f64 (pow.f64 x 2) 1/32)))
(+.f64 (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x 2) 1/32))
(fma.f64 (pow.f64 x 2) 1/32 (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/128 (pow.f64 x 3)) (*.f64 1/32 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 -1/128 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/32))))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 (pow.f64 x 2) 1/32 (*.f64 (pow.f64 x 3) -1/128)))
(+.f64 (fma.f64 x -1/8 1/2) (*.f64 (pow.f64 x 2) (+.f64 1/32 (*.f64 x -1/128))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 2)))
(+.f64 (/.f64 2 x) (/.f64 -8 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (/.f64 8 (pow.f64 x 2)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))) (/.f64 -8 (pow.f64 x 2))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 2)))
(+.f64 (/.f64 2 x) (/.f64 -8 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (/.f64 8 (pow.f64 x 2)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 8 (pow.f64 x 2)) (/.f64 128 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))) (/.f64 -8 (pow.f64 x 2))))
(+.f64 0 (/.f64 x (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 1/2 x 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 1 (/.f64 (fma.f64 x 1/2 2) x))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))) (sqrt.f64 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x 1) (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) x)) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))) (cbrt.f64 (fma.f64 x 1/2 2)))
(/.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))) (cbrt.f64 (fma.f64 1/2 x 2)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 2))) (cbrt.f64 (fma.f64 1/2 x 2)))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2) 1/2)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)) 1/3)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1/3))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2)))) 2))
(/.f64 x (fma.f64 x 1/2 2))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 0 (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 1/2 2))) 1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) (log.f64 (E.f64)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (fma.f64 x 1/2 2) -1/2))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 1) -1))
(*.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 1 (sqrt.f64 (fma.f64 1/2 x 2))))
(/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (sqrt.f64 (fma.f64 1/2 x 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2)) 1/3) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2) (pow.f64 (fma.f64 x 1/2 2) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (pow.f64 (fma.f64 1/2 x 2) -2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) -2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -2) (pow.f64 (fma.f64 x 1/2 2) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 2)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (pow.f64 (fma.f64 1/2 x 2) -2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -5/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2)))
(pow.f64 (fma.f64 x 1/2 2) -1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (fma.f64 x 1/2 2)) 1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) -3)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 2))) 3)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -2) 1/2)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -3) 1/3)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) -2)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) -1/2) 2)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 1/2 x 2))))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 1/2 2))) -1)
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(neg.f64 (/.f64 -1 (fma.f64 x 1/2 2)))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) -2))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) -3))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 2) -3/2) (pow.f64 (fma.f64 x 1/2 2) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 2) -3/2) (pow.f64 (fma.f64 1/2 x 2) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 2))))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 2)))) 3))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/2 2) -3)) 1/3))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 x 1/2 2))) 2))
(/.f64 1 (fma.f64 x 1/2 2))
(/.f64 1 (fma.f64 1/2 x 2))

eval62.0ms (1.5%)

Compiler

Compiled 2033 to 1629 computations (19.9% saved)

prune21.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1511152
Fresh000
Picked123
Done156
Total1538161
Accuracy
100.0%
Counts
161 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
41.5%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
66.9%
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
64.5%
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
68.9%
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
5.2%
2
Compiler

Compiled 60 to 46 computations (23.3% saved)

localize35.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
Compiler

Compiled 20 to 15 computations (25% saved)

series3.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
1.0ms
x
@inf
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
1.0ms
x
@0
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)

rewrite72.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
916×unpow-prod-down
500×log-prod
486×log1p-expm1-u
486×expm1-log1p-u
464×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
110121
2130521
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
Outputs
(+.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x -1/8) x))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 1/8 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) x) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2))
(fma.f64 1/2 x (*.f64 (*.f64 x -1/8) x))
(fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8)))
(fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2))
(fma.f64 (*.f64 x -1/8) x (*.f64 1/2 x))

simplify78.0ms (1.9%)

Algorithm
egg-herbie
Rules
1622×log-prod
1036×fma-neg
782×associate-*r*
742×associate-*l*
544×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021220
12271174
26531166
339671166
467401166
Stop Event
node limit
Counts
45 → 46
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x -1/8) x))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 1/8 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) x) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2))
(fma.f64 1/2 x (*.f64 (*.f64 x -1/8) x))
(fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8)))
(fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2))
(fma.f64 (*.f64 x -1/8) x (*.f64 1/2 x))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 0 (*.f64 x (fma.f64 x -1/8 1/2)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 x (*.f64 x -1/8)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x -1/8) x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))))
(*.f64 x (fma.f64 x -1/8 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/512 1/8)) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (/.f64 x (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (/.f64 x (fma.f64 x (*.f64 -1/8 (fma.f64 x -1/8 -1/2)) 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64))) (+.f64 1/2 (*.f64 1/8 x)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (+.f64 1/2 (*.f64 x 1/8))))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (fma.f64 x 1/8 1/2)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) -1/64 1/4) (fma.f64 x 1/8 1/2)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) x) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (/.f64 x (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (fma.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/512 1/8) (/.f64 x (fma.f64 x (*.f64 -1/8 (fma.f64 x -1/8 -1/2)) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) x) (+.f64 1/2 (*.f64 1/8 x)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (+.f64 1/2 (*.f64 x 1/8))))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/64)) (fma.f64 x 1/8 1/2)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) -1/64 1/4) (fma.f64 x 1/8 1/2)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2) 1/2)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (E.f64) (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/8 1/2)) x))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(*.f64 x (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 3))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3)) 1/3))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2)))) 2))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 1/2 x (*.f64 (*.f64 x -1/8) x))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 x 1/2 (*.f64 x (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 x (*.f64 x -1/8) (*.f64 x 1/2))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 (*.f64 x -1/8) x (*.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))

eval14.0ms (0.3%)

Compiler

Compiled 532 to 409 computations (23.1% saved)

prune19.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New45146
Fresh000
Picked011
Done167
Total46854
Accuracy
100.0%
Counts
54 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
65.5%
(/.f64 x 2)
64.5%
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
41.5%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
64.5%
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
68.9%
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
5.2%
2
Compiler

Compiled 141 to 105 computations (25.5% saved)

regimes15.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

7.0ms
x
7.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.3%)

Counts
8 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
Outputs
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.2%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 (+.f64 1/2 (*.f64 x -1/8)) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 (*.f64 x -1/8) x) (*.f64 1/2 x))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
66.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
66.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
65.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
5.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.1475093371115816e-7
2.5189746703449163e-5
Results
12.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 139 to 115 computations (17.3% saved)

bsearch14.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1475093371115816e-7
2.5189746703449163e-5
Results
11.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 146 to 122 computations (16.4% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033218
146218
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7378697629483821/590295810358705651712) (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7378697629483821/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7378697629483821/590295810358705651712) (*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7378697629483821/590295810358705651712) (*.f64 x (/.f64 1 (fma.f64 x 1/2 2))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 7378697629483821/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7378697629483821/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 2 (*.f64 x 1/2)))
(/.f64 x 2)
2
Compiler

Compiled 72 to 57 computations (20.8% saved)

soundness784.0ms (18.8%)

Rules
1212×unpow-prod-down
1130×log1p-expm1-u
1050×fma-neg
1050×fma-neg
1050×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05468047
113477291
255167039
05468047
113477291
255167039
01163
113758
2194758
05468047
113477291
255167039
023151
1373127
25721127
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 308 to 255 computations (17.2% saved)

end0.0ms (0%)

preprocess66.0ms (1.6%)

Compiler

Compiled 150 to 116 computations (22.7% saved)

Profiling

Loading profile data...