Rust f64::atanh

Time bar (total: 2.1s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample747.0ms (35.5%)

Results
648.0ms8256×body256valid
0.0ms4×body256invalid
Bogosity

preprocess309.0ms (14.7%)

Algorithm
1×egg-herbie
Rules
2056×fma-def
502×times-frac
486×div-sub
428×associate-/r*
384×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13371
24668
36668
48968
511568
618768
730967
840767
957167
1071467
1190467
12120367
13200267
14322467
15384167
16387367
17390567
18394567
19394567
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 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 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 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))))
(atanh.f64 x)
(atanh.f64 (neg.f64 x))
(neg.f64 (atanh.f64 (neg.f64 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

eval2.0ms (0.1%)

Compiler

Compiled 59 to 49 computations (16.9% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
Compiler

Compiled 44 to 38 computations (13.6% saved)

localize128.0ms (6.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (*.f64 2 x) (-.f64 1 x))
✓99.7%
(/.f64 2 (+.f64 (/.f64 1 x) -1))
Compiler

Compiled 75 to 60 computations (20% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite214.0ms (10.2%)

Algorithm
1×batch-egg-rewrite
Rules
1044×log1p-expm1-u
1044×expm1-log1p-u
1014×log-prod
462×prod-diff
330×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01447
119547
2278447
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 2 x) (-.f64 1 x))
Outputs
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 -1 x))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 (/.f64 1 x) 1))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 1 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 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 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))

simplify94.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1252×fma-def
884×associate-/l*
794×associate-*r/
656×times-frac
576×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02243031
15612902
220162753
379862753
Stop Event
1×node limit
Counts
99 → 121
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.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 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.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 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 -2 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 -1 x))))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 (/.f64 1 x) 1))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(+.f64 0 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(*.f64 1 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 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 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 3)) x))
(*.f64 2 (fma.f64 (+.f64 x 1) (pow.f64 x 2) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 2) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 x x x)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 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 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))) (/.f64 -2 (pow.f64 x 3)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 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 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))) (/.f64 -2 (pow.f64 x 3)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (pow.f64 x 2)))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 3)) x))
(*.f64 2 (fma.f64 (+.f64 x 1) (pow.f64 x 2) x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 2 (pow.f64 x 2) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 x x x)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 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 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))) (/.f64 -2 (pow.f64 x 3)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.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))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 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 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (+.f64 -2 (fma.f64 -2 (pow.f64 x -2) (/.f64 -2 x))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 0 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 1 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 -2 (/.f64 1 (+.f64 1 (neg.f64 (/.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 -1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(/.f64 (+.f64 2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x))) (+.f64 -1 (pow.f64 x -3)))
(*.f64 (/.f64 2 (+.f64 (pow.f64 x -2) -1)) (+.f64 (/.f64 1 x) 1))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (+.f64 1 (/.f64 1 x)))
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (pow.f64 x -2) -1))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 (/.f64 1 x) -1) 2)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 3))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 0 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))))
(*.f64 2 (log.f64 (fabs.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 1 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.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 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (*.f64 2 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 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.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 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 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 (*.f64 2 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 2 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 (*.f64 2 (fma.f64 x (+.f64 x 1) 1)) (/.f64 (-.f64 1 (pow.f64 x 3)) x))
(/.f64 2 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1) 1)) x))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 2)) x)))
(*.f64 (+.f64 x 1) (*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 2))) x))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 2)) (fma.f64 x x x)))
(pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3) 1/3)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 3))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(/.f64 2 (+.f64 (/.f64 1 x) -1))

eval41.0ms (2%)

Compiler

Compiled 1907 to 1623 computations (14.9% saved)

prune25.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1183121
Fresh000
Picked022
Done000
Total1185123
Accuracy
100.0%
Counts
123 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.0%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (pow.f64 x -2) -1))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
▶58.0%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (pow.f64 x -2) -1))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 98 to 86 computations (12.2% saved)

localize134.0ms (6.4%)

Compiler

Compiled 84 to 69 computations (17.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done022
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.0%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (pow.f64 x -2) -1))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.7%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓97.3%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 94 to 82 computations (12.8% saved)

regimes21.0ms (1%)

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

4 calls:

6.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
5.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms
(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 75 to 62 computations (17.3% saved)

regimes6.0ms (0.3%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 23 to 20 computations (13% saved)

regimes4.0ms (0.2%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 13 to 11 computations (15.4% 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:

3.0ms
x
Results
AccuracySegmentsBranch
0.0%1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
6×+-commutative
4×sub-neg
3×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02598
13898
24198
34398
44498
Stop Event
1×done
1×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 1 x) -1))))
(*.f64 1/2 (log1p.f64 (*.f64 2 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 1 x) -1))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 34 to 30 computations (11.8% saved)

soundness271.0ms (12.9%)

Rules
2056×fma-def
502×times-frac
486×div-sub
428×associate-/r*
384×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13371
24668
36668
48968
511568
618768
730967
840767
957167
1071467
1190467
12120367
13200267
14322467
15384167
16387367
17390567
18394567
19394567
Stop Event
1×saturated
Compiler

Compiled 67 to 54 computations (19.4% saved)

end0.0ms (0%)

preprocess91.0ms (4.3%)

Compiler

Compiled 84 to 72 computations (14.3% saved)

Profiling

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