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

Time bar (total: 4.1s)

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)

sample782.0ms (19.2%)

Results
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Bogosity

preprocess165.0ms (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)

localize45.0ms (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)

series7.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

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

rewrite216.0ms (5.3%)

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)

simplify142.0ms (3.5%)

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))))))

eval122.0ms (3%)

Compiler

Compiled 5403 to 4459 computations (17.5% saved)

prune52.0ms (1.3%)

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
99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
68.8%
(/.f64 x 2)
67.2%
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Compiler

Compiled 109 to 85 computations (22% saved)

localize255.0ms (6.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
100.0%
(sqrt.f64 (+.f64 x 1))
100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
99.8%
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
99.5%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Compiler

Compiled 99 to 74 computations (25.3% saved)

series8.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

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

rewrite137.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1780×prod-diff
870×log1p-expm1-u
566×expm1-log1p-u
142×associate-*r*
122×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019120
127487
2402587
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (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 (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 (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 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) 1) (/.f64 (cbrt.f64 x) (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 (sqrt.f64 x) 1) (/.f64 (sqrt.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 x (+.f64 (pow.f64 (*.f64 x 1/2) 3) 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 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)

simplify126.0ms (3.1%)

Algorithm
egg-herbie
Rules
1428×fma-define
584×distribute-lft-in
470×log-prod
426×distribute-lft-neg-out
366×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03677388
19376712
232026712
Stop Event
node limit
Counts
222 → 224
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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 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))
(+.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 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (/.f64 1 x)))
(*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) x))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 2)
(neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x))) x))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 x (/.f64 1 (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 (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 (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 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) 1) (/.f64 (cbrt.f64 x) (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 (sqrt.f64 x) 1) (/.f64 (sqrt.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 x (+.f64 (pow.f64 (*.f64 x 1/2) 3) 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 (sqrt.f64 (+.f64 1 x)) -1))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (/.f64 (+.f64 1 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 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 1/16 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 x 2))))
(+.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 2 x)
(+.f64 1/2 (*.f64 2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 2 x))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (*.f64 2 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/8 x (/.f64 2 x)))
(+.f64 1/2 (fma.f64 x -1/8 (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x -1/8 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 1/16 (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1/8 x (fma.f64 1/16 (pow.f64 x 2) (/.f64 2 x))))
(+.f64 1/2 (fma.f64 x -1/8 (fma.f64 (pow.f64 x 2) 1/16 (/.f64 2 x))))
(+.f64 (fma.f64 (pow.f64 x 2) 1/16 (/.f64 2 x)) (fma.f64 x -1/8 1/2))
(*.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)))
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2
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(-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (+.f64 2 (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
2
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(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)))) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -2)))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))) -1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))) (neg.f64 x))
(/.f64 (*.f64 1 x) (+.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 1 x)))))
(/.f64 (*.f64 1 x) (+.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 1 x)))))
(/.f64 (*.f64 1 x) (+.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 1 x)))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 1 x) (+.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 1 x) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (*.f64 1 x) (+.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 1 x)))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (*.f64 1 x) (+.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 1 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) x)
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) 1) (-.f64 (pow.f64 (+.f64 1 x) 1/4) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (-.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.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 (+.f64 x 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 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) -1))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2)) (+.f64 (+.f64 1 x) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) (/.f64 1 x))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)))) (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(/.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -2)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2)) -1/2)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2)) -1/2)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) -2) -1/2)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 2)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1) 3))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 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 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) -1)) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 1 x) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

eval283.0ms (6.9%)

Compiler

Compiled 10929 to 9137 computations (16.4% saved)

prune76.0ms (1.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6822684
Fresh011
Picked145
Done011
Total6838691
Accuracy
100.0%
Counts
691 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
68.7%
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
68.8%
(/.f64 x 2)
37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
4.6%
2
Compiler

Compiled 59 to 47 computations (20.3% saved)

localize254.0ms (6.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
99.7%
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
99.7%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
97.4%
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
Compiler

Compiled 51 to 34 computations (33.3% saved)

series78.0ms (1.9%)

Counts
4 → 24
Calls

12 calls:

TimeVariablePointExpression
70.0ms
x
@0
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
1.0ms
x
@-inf
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms
x
@inf
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms
x
@0
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
1.0ms
x
@inf
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)

rewrite128.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1050×log-prod
1008×log1p-expm1-u
1007×expm1-log1p-u
330×expm1-undefine
330×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01785
122385
2310385
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
Outputs
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2) -1) (+.f64 (pow.f64 (+.f64 x 1) 1/2) 1))
(/.f64 (*.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(fma.f64 1 (pow.f64 (+.f64 x 1) 1/2) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(fma.f64 1 (pow.f64 (+.f64 x 1) 1/2) -1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) (sqrt.f64 (pow.f64 (+.f64 x 1) 1/2)) -1)
(+.f64 0 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) 1)
(*.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1)
(*.f64 1 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(neg.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))

simplify97.0ms (2.4%)

Algorithm
egg-herbie
Rules
658×log-prod
582×distribute-lft-in
522×distribute-lft-neg-in
506×cube-prod
468×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03315433
17555056
227935052
Stop Event
node limit
Counts
197 → 196
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 1/16 (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))))
(*.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)))
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2
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(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 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))))
(+.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)))))
(*.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))))
(+.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)))))
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 (fma.f64 1/2 x (*.f64 -1/8 (pow.f64 x 2))))
(+.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))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/16 (pow.f64 x 3))) (fma.f64 1/2 x 2))
(*.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)))
(+.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))))
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 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 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.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 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 2 (-.f64 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (+.f64 2 (+.f64 (/.f64 32 (pow.f64 x 2)) (/.f64 -8 x))) (/.f64 -128 (pow.f64 x 3)))
(+.f64 (pow.f64 (+.f64 x 1) 1/2) -1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(-.f64 (pow.f64 (+.f64 x 1) 1/2) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 x (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 1)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) x)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(*.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 3) 1) (fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x 1) 1/2) (+.f64 1 (*.f64 (pow.f64 (+.f64 x 1) 1/2) 1))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) -1) (fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3)) (+.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x 1)))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) x)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 x (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 x (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 1)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 3)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3) 1/3)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 2)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) x) -1)
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 2))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (neg.f64 x) (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))) 3))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 x))) 3)))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))) 1))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1/2 (/.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x)))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -2)) (cbrt.f64 (-.f64 1/2 (/.f64 -2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -2)) (cbrt.f64 (-.f64 1/2 (/.f64 -2 x))))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -1))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -2 x))) -2)
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1/2) 1/4))
(*.f64 (/.f64 1 (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8)) (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4))
(/.f64 (fma.f64 (/.f64 2 x) (+.f64 (/.f64 2 x) -1/2) 1/4) (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8))
(/.f64 (fma.f64 (/.f64 2 x) (-.f64 -1/2 (/.f64 -2 x)) 1/4) (+.f64 (/.f64 8 (pow.f64 x 3)) 1/8))
(*.f64 (/.f64 1 (-.f64 1/4 (/.f64 4 (pow.f64 x 2)))) (-.f64 1/2 (/.f64 2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (/.f64 -4 (pow.f64 x 2))))
(/.f64 -1 (neg.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 2 x)) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (sqrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -1/2) (sqrt.f64 (-.f64 1/2 (/.f64 -2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 -1 (+.f64 -1/2 (/.f64 -2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))

eval65.0ms (1.6%)

Compiler

Compiled 3027 to 2165 computations (28.5% saved)

prune26.0ms (0.6%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1951196
Fresh000
Picked123
Done055
Total1968204
Accuracy
100.0%
Counts
204 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
68.8%
(/.f64 x 2)
68.7%
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
4.6%
2
Compiler

Compiled 59 to 47 computations (20.3% saved)

localize37.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
Compiler

Compiled 21 to 17 computations (19% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
982×unpow-prod-down
559×log1p-expm1-u
559×expm1-log1p-u
518×log-prod
496×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
112022
2155222
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (/.f64 -2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x)))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (+.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (neg.f64 (+.f64 -1/2 (/.f64 -2 x))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(neg.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))

simplify77.0ms (1.9%)

Algorithm
egg-herbie
Rules
1044×associate-*r*
964×associate-*l*
882×fma-neg
632×exp-prod
512×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01761910
14631847
211741825
357011786
Stop Event
node limit
Counts
60 → 93
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)))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (/.f64 -2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x)))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (+.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (neg.f64 (+.f64 -1/2 (/.f64 -2 x))) -1)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(neg.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 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 (+.f64 1/2 (*.f64 x -1/8)))
(+.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 1/2 x (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/32))))
(+.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 1/2 x (*.f64 (pow.f64 x 2) (+.f64 -1/8 (*.f64 x 1/32)))))
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 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(+.f64 2 (fma.f64 32 (pow.f64 x -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 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 (/.f64 32 (pow.f64 x 2)) (-.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (fma.f64 32 (pow.f64 x -2) 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 (/.f64 32 (pow.f64 x 2)) (-.f64 2 (/.f64 8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (pow.f64 x 2)))
(+.f64 2 (fma.f64 32 (pow.f64 x -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 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 (/.f64 32 (pow.f64 x 2)) (-.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(+.f64 (fma.f64 32 (pow.f64 x -2) 2) (-.f64 (/.f64 -8 x) (/.f64 128 (pow.f64 x 3))))
(+.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 (/.f64 -2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 1 (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) (log.f64 (E.f64)))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (/.f64 -2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) 1) -1))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x)))) -1))
(*.f64 (/.f64 1 (-.f64 1/8 (/.f64 -8 (pow.f64 x 3)))) (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1/4 (fma.f64 4 (pow.f64 x -2) (/.f64 -1 x))) (+.f64 1/8 (/.f64 8 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (+.f64 1/2 (/.f64 -2 x)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 4 (pow.f64 x -2)))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (*.f64 (pow.f64 x -2) -4)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (pow.f64 x -2) 4))) (pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 -2 x))) -1))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 4 (pow.f64 x -2)))) (+.f64 1/2 (/.f64 -2 x)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (+.f64 1/4 (*.f64 (pow.f64 x -2) -4)))
(/.f64 (+.f64 1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) -4 1/4))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -2) (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 (/.f64 -2 x))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 -2 x))) -2) (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -2))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2) 1/3) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -5/2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -5/2)) (cbrt.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x))) 1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 2 x)))) 3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))) -3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2) 1/2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3) 1/3)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 2) -1/2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/6) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) 3) -1/6) (pow.f64 (pow.f64 (-.f64 1/2 (/.f64 -2 x)) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -1/2) 2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 2 x))) -2)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 1/2 (/.f64 -2 x)))))
(pow.f64 (neg.f64 (+.f64 -1/2 (/.f64 -2 x))) -1)
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 1/2 (/.f64 -2 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 1/2 (/.f64 -2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 1/2 (/.f64 -2 x)))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 1/2 (/.f64 -2 x))))))
(neg.f64 (/.f64 -1 (+.f64 1/2 (/.f64 2 x))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1/2 (/.f64 2 x)))))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 2 x))))) 3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 1/2 (/.f64 2 x)) -3)) 1/3))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 1/2 (/.f64 2 x)))) 2))
(/.f64 1 (+.f64 1/2 (/.f64 2 x)))
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))

eval113.0ms (2.8%)

Compiler

Compiled 1256 to 1090 computations (13.2% saved)

prune16.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done077
Total938101
Accuracy
100.0%
Counts
101 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
97.4%
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
69.1%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
99.7%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
68.8%
(/.f64 x 2)
68.7%
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
37.7%
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
4.6%
2
Compiler

Compiled 127 to 100 computations (21.3% saved)

regimes15.0ms (0.4%)

Counts
10 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(/.f64 1 (-.f64 1/2 (/.f64 -2 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 1/2 (/.f64 2 x)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x)))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

8.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
7.0ms
x
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)

regimes10.0ms (0.2%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
69.1%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 1 (-.f64 1/2 (/.f64 -2 x)))
Outputs
(/.f64 x 2)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
68.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.937211552780639e-13
0.00018768640940604816
Results
13.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
1.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 166 to 136 computations (18.1% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025122
135122
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 (+.f64 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 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6139076427730539/1180591620717411303424) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 41 to 32 computations (22% saved)

soundness531.0ms (13%)

Rules
1212×unpow-prod-down
1050×fma-neg
1050×fma-neg
848×prod-diff
790×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 246 to 207 computations (15.9% saved)

end0.0ms (0%)

preprocess105.0ms (2.6%)

Compiler

Compiled 92 to 70 computations (23.9% saved)

Profiling

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