Rust f64::atanh

Time bar (total: 2.6s)

analyze5.0ms (0.2%)

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 (24.2%)

Results
628.0ms8256×body256valid
0.0ms4×body256invalid
Bogosity

preprocess442.0ms (16.7%)

Algorithm
1×egg-herbie
Rules
286×fma-def
265×associate-*r*
206×associate-/r*
189×associate-/l*
173×associate-*l*
Problems
256×No Errors
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13371
24668
36468
48668
511368
618068
729467
837967
957067
1074767
11102067
12134567
13228667
14295467
15381967
16384567
17389167
18393167
19393167
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))))
▶99.8%
(*.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))))
▶99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
Compiler

Compiled 44 to 38 computations (13.6% saved)

localize100.0ms (3.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓100.0%
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
✓99.8%
(/.f64 2 (+.f64 (/.f64 1 x) -1))
Compiler

Compiled 75 to 60 computations (20% saved)

series4.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite265.0ms (10%)

Algorithm
1×batch-egg-rewrite
Rules
721×associate-/l*
558×*-commutative
404×associate-/r/
272×distribute-lft-in
262×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01777
123277
2311877
Stop Event
1×node limit
Counts
3 → 77
Calls
Call 1
Inputs
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (/.f64 1 x)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (pow.f64 x -2)))) (*.f64 1 (/.f64 2 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(-.f64 (+.f64 1 (/.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 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))) (/.f64 2 (+.f64 -1 (pow.f64 x -3))))
(*.f64 -2 (/.f64 1 (+.f64 1 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (/.f64 2 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (+.f64 (*.f64 2 (/.f64 1 x)) 2))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -3))) (*.f64 2 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 x))) -2)
(*.f64 (/.f64 2 (neg.f64 (+.f64 -1 (pow.f64 x -2)))) (neg.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 -1 (pow.f64 x -3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x -2))) (-.f64 -1 (/.f64 1 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 -1 (pow.f64 x -2)))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 -1 (pow.f64 x -3)))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x -3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x -3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(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)
(sqrt.f64 (pow.f64 (/.f64 2 (+.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))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1)
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(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)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(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))))))

simplify102.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
559×fma-def
433×unswap-sqr
373×+-commutative
333×*-commutative
328×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02354283
16053952
222253870
372173870
Stop Event
1×node limit
Counts
113 → 157
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 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (/.f64 1 x)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (pow.f64 x -2)))) (*.f64 1 (/.f64 2 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(-.f64 (+.f64 1 (/.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 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) -1)) 2)
(*.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))) (/.f64 2 (+.f64 -1 (pow.f64 x -3))))
(*.f64 -2 (/.f64 1 (+.f64 1 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (/.f64 2 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -2))) (+.f64 (*.f64 2 (/.f64 1 x)) 2))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x -3))) (*.f64 2 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 x))) -2)
(*.f64 (/.f64 2 (neg.f64 (+.f64 -1 (pow.f64 x -2)))) (neg.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (neg.f64 (+.f64 -1 (pow.f64 x -3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x -2))) (-.f64 -1 (/.f64 1 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 -1 (pow.f64 x -2)))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 -2 (neg.f64 (+.f64 -1 (pow.f64 x -3)))) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 x -3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x -3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 -1 x)))))
(pow.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) -1) 1/2) -1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2)
(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)
(sqrt.f64 (pow.f64 (/.f64 2 (+.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))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) 1)
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(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)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(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))))))
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 x (fma.f64 x x (pow.f64 x 3))))
(*.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))))
(fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -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)))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (/.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))))
(fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -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)))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (/.f64 -2 (pow.f64 x 3)))
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x)))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.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 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x)))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.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 x) (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 1 (-.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 1))
(+.f64 1 (+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 1 (+.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) (/.f64 1 x)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -2))) 1))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) 2) (+.f64 -1 (pow.f64 x -2)))
(/.f64 (+.f64 -2 (/.f64 -2 x)) (-.f64 1 (pow.f64 x -2)))
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 2 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -3))))
(/.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (-.f64 1 (pow.f64 x -3)))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 1 (/.f64 1 x))) (*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (pow.f64 x -2)))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 2 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -3))))
(/.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (-.f64 1 (pow.f64 x -3)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (pow.f64 x -2)))) (*.f64 1 (/.f64 2 (+.f64 -1 (pow.f64 x -2)))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 x)) 2) (+.f64 -1 (pow.f64 x -2)))
(/.f64 (+.f64 -2 (/.f64 -2 x)) (-.f64 1 (pow.f64 x -2)))
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 2 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -3))))
(/.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (-.f64 1 (pow.f64 x -3)))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))) (*.f64 (pow.f64 x -2) (/.f64 2 (+.f64 -1 (pow.f64 x -3)))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))
(*.f64 2 (/.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2))) (+.f64 -1 (pow.f64 x -3))))
(/.f64 (fma.f64 2 (-.f64 (/.f64 -1 x) (pow.f64 x -2)) -2) (-.f64 1 (pow.f64 x -3)))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1))) 1)
(+.f64 1 (+.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)))
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(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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
(log.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) 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 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))

eval183.0ms (6.9%)

Compiler

Compiled 2694 to 2336 computations (13.3% saved)

prune31.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1534157
Fresh000
Picked022
Done000
Total1536159
Accuracy
100.0%
Counts
159 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.3%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶96.9%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
▶9.8%
(*.f64 1/2 (log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
▶53.3%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶96.9%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
▶9.8%
(*.f64 1/2 (log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
Compiler

Compiled 124 to 110 computations (11.3% saved)

localize466.0ms (17.6%)

Compiler

Compiled 135 to 113 computations (16.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done022
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.3%
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.8%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓96.9%
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
✓9.8%
(*.f64 1/2 (log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
Compiler

Compiled 119 to 105 computations (11.8% saved)

regimes22.0ms (0.8%)

Counts
6 → 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 (log.f64 (+.f64 1 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
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)))
5.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
5.0ms
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 87 to 73 computations (16.1% saved)

regimes8.0ms (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:

7.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 23 to 20 computations (13% saved)

regimes4.0ms (0.1%)

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
96.9%1x
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes3.0ms (0.1%)

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
6×*-commutative
3×1-exp
3×+-commutative
2×sub-neg
1×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)

soundness293.0ms (11.1%)

Rules
286×fma-def
265×associate-*r*
206×associate-/r*
189×associate-/l*
173×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01871
13371
24668
36468
48668
511368
618068
729467
837967
957067
1074767
11102067
12134567
13228667
14295467
15381967
16384567
17389167
18393167
19393167
Stop Event
1×saturated
Compiler

Compiled 64 to 54 computations (15.6% saved)

end0.0ms (0%)

preprocess67.0ms (2.5%)

Compiler

Compiled 84 to 72 computations (14.3% saved)

Profiling

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