Rust f64::atanh

Time bar (total: 1.3s)

analyze2.0ms (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)

sample639.0ms (48.3%)

Results
608.0ms8256×body256valid
0.0ms4×body256invalid
Bogosity

preprocess144.0ms (10.9%)

Algorithm
1×egg-herbie
Rules
2052×fma-def
502×times-frac
484×div-sub
408×associate-/r*
384×associate-*r*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01543
12543
23643
35543
47443
59743
616743
728739
838539
954839
1069039
1187839
12116539
13199139
14320839
15382539
16385739
17388939
18392939
19392939
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))
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 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(*.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))
Compiler

Compiled 11 to 9 computations (18.2% saved)

eval2.0ms (0.1%)

Compiler

Compiled 59 to 49 computations (16.9% saved)

prune2.0ms (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))))
▶100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize55.0ms (4.2%)

Localize:

Found 1 expressions with local error:

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

Compiled 37 to 28 computations (24.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
1876×pow1
1754×add-exp-log
1752×log1p-expm1-u
1752×expm1-log1p-u
1726×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117219
2230319
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
Outputs
(-.f64 (+.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) 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 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) 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 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 (/.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 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2))
(log.f64 (exp.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(exp.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

simplify92.0ms (7%)

Algorithm
1×egg-herbie
Rules
1182×log-div
1072×log-prod
936×associate-/l*
886×fma-def
804×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481913
14111687
214701503
363401503
Stop Event
1×node limit
Counts
55 → 82
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 (+.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) 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 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) 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 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 (/.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 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2))
(log.f64 (exp.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(exp.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 x (*.f64 x x)))
(*.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 (*.f64 x x) (pow.f64 x 3))))
(*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(*.f64 2 (fma.f64 x (fma.f64 x x x) 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 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (fma.f64 x x x) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(*.f64 2 (*.f64 (+.f64 (*.f64 x x) 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 (*.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 (/.f64 2 x) (/.f64 2 (*.f64 x 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))))
(+.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 (*.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 (/.f64 2 x) (/.f64 2 (*.f64 x 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 (+.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (*.f64 x (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (*.f64 2 (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 1 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (*.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 2 x)) (*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 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 (sqrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) 2)
(*.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 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) 2)
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.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 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 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 x (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x))) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (*.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.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 (pow.f64 (*.f64 2 x) 2)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (/.f64 (sqrt.f64 (-.f64 1 x)) (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 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 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 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 2 x) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 2 (fma.f64 x (fma.f64 x x x) x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 2 (-.f64 (/.f64 1 x) x)) (+.f64 x 1))
(pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 3)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)) 3))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(exp.f64 (log.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))

eval42.0ms (3.2%)

Compiler

Compiled 1298 to 1028 computations (20.8% saved)

prune13.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh000
Picked011
Done000
Total79483
Accuracy
100.0%
Counts
83 → 4
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 (-.f64 1 x)) x)))
▶97.2%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶100.0%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
▶97.2%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 68 to 58 computations (14.7% saved)

localize82.0ms (6.2%)

Compiler

Compiled 63 to 50 computations (20.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
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 (-.f64 1 x)) x)))
✓97.2%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 65 to 55 computations (15.4% saved)

regimes47.0ms (3.6%)

Counts
4 → 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 (/.f64 2 (-.f64 1 x)) x)))
(*.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))))
Calls

4 calls:

32.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
6.0ms
x
4.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms
(/.f64 (*.f64 2 x) (-.f64 1 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 61 to 49 computations (19.7% saved)

regimes5.0ms (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 (/.f64 2 (-.f64 1 x)) x)))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes4.0ms (0.3%)

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
97.2%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)

simplify9.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
13186
23586
33786
43886
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 (/.f64 2 (-.f64 1 x)) x)))
(*.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 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness72.0ms (5.5%)

Rules
1876×pow1
1754×add-exp-log
1752×log1p-expm1-u
1752×expm1-log1p-u
1726×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117219
2230319
Stop Event
1×node limit
Compiler

Compiled 31 to 25 computations (19.4% saved)

end0.0ms (0%)

preprocess43.0ms (3.3%)

Compiler

Compiled 84 to 70 computations (16.7% saved)

Profiling

Loading profile data...