Rust f64::atanh

Details

Time bar (total: 1.9s)

analyze2.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 4 to 3 computations (25% saved)

sample786.0ms (40.7%)

Results
775.0ms8256×body256valid
0.0msbody256invalid
Bogosity

preprocess20.0ms (1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(atanh.f64 x)
Outputs
(atanh.f64 x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify121.0ms (6.3%)

Algorithm
egg-herbie
Rules
2026×fma-def
498×times-frac
498×div-sub
404×associate-/r*
386×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34929
46629
58929
614229
724025
839025
955125
1068025
1186725
12115125
13198725
14321625
15383325
16386525
17389725
18393725
19393725
Stop Event
saturated
Counts
1 → 7
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (+.f64 1/2 (*.f64 -1/2 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler

Compiled 69 to 55 computations (20.3% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New617
Fresh011
Picked000
Done000
Total628
Accurracy
100.0%
Counts
8 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize63.0ms (3.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 37 to 28 computations (24.3% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms
x
@-inf
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms
x
@inf
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms
x
@inf
(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms
x
@0
(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite69.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1006×log-prod
898×prod-diff
576×prod-exp
534×pow-prod-down
448×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
120942
2269042
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) 1)))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x x)) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 (+.f64 x x)) 1)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) (*.f64 2 (/.f64 x (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))) (log.f64 (-.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 2))

simplify124.0ms (6.4%)

Algorithm
egg-herbie
Rules
1686×fma-def
908×fma-neg
802×associate-/l*
736×log-prod
472×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02743055
16932959
220582927
374812927
Stop Event
node limit
Counts
111 → 167
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) 1)))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -1)
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) 1) -1)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x x)) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 (+.f64 x x)) 1)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) (*.f64 2 (/.f64 x (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))) (log.f64 (-.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 2))
Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 (+.f64 x x) (+.f64 x (fma.f64 x x 1)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (*.f64 x (fma.f64 x x x))) (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (+.f64 x x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 1 (-.f64 (/.f64 1 x) 1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2))) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))))
(*.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 (+.f64 x x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 2 (/.f64 x (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (/.f64 (cbrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (cbrt.f64 (*.f64 x (*.f64 x 4)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 x x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) 1) (/.f64 (sqrt.f64 (+.f64 x x)) (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 2 (/.f64 (cbrt.f64 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 x))) (+.f64 x x))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (+.f64 x x) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (fma.f64 x x x)))))
(*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))
(/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x x)))
(pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) -1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(pow.f64 (/.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) 1) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) -1/2) -3))
(cbrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1) 1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/3))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1))) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x x)) 1) (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (*.f64 (log.f64 (+.f64 x x)) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 1/2 (-.f64 (/.f64 1 x) 1)) -3)) (log.f64 (+.f64 1 (-.f64 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)) (*.f64 2 (/.f64 x (-.f64 1 x)))))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -3)) (log1p.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (*.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) -1/2) -3)) (log1p.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)) (*.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -3)) (log1p.f64 (fma.f64 2 (/.f64 x (+.f64 x -1)) (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (-.f64 (/.f64 1 x) 1) 2)))) (log.f64 (-.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log.f64 (-.f64 1 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))) (log.f64 (+.f64 1 (*.f64 -2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (/.f64 -4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (log1p.f64 (*.f64 -2 (/.f64 x (-.f64 1 x)))))
(-.f64 (log1p.f64 (/.f64 -4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2))) (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x -1)))))
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 1/2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1) 1))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1/3))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))

eval75.0ms (3.9%)

Compiler

Compiled 2718 to 2160 computations (20.5% saved)

prune22.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1634167
Fresh000
Picked011
Done000
Total1635168
Accurracy
100.0%
Counts
168 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
98.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))
99.0%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
0.0%
(*.f64 1/2 (log1p.f64 -2))
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
98.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))
99.0%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 102 to 78 computations (23.5% saved)

localize142.0ms (7.3%)

Compiler

Compiled 130 to 60 computations (53.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done011
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
98.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))
99.0%
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 98 to 72 computations (26.5% saved)

regimes19.0ms (1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 (+.f64 x x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Calls

4 calls:

6.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
100.0%1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
100.0%1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 77 to 56 computations (27.3% saved)

regimes17.0ms (0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
Outputs
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 -2))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02386
13486
23886
34086
44186
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 (*.f64 x x) x))))
(*.f64 1/2 (log1p.f64 (*.f64 2 (+.f64 x (*.f64 x x)))))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 34 to 27 computations (20.6% saved)

soundness376.0ms (19.5%)

Rules
1686×fma-def
1686×fma-def
908×fma-neg
908×fma-neg
802×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02743055
16932959
220582927
374812927
02743055
16932959
220582927
374812927
Stop Event
node limit
node limit
Compiler

Compiled 46 to 36 computations (21.7% saved)

end75.0ms (3.9%)

Compiler

Compiled 84 to 66 computations (21.4% saved)

Profiling

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