Rust f64::atanh

Time bar (total: 2.6s)

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)

sample968.0ms (37.4%)

Results
956.0ms8256×body256valid
0.0ms3×body256invalid
Bogosity

preprocess229.0ms (8.9%)

Algorithm
1×egg-herbie
Rules
2010×fma-def
298×fma-neg
282×associate-/r*
278×associate-*r*
276×associate-/l*
Problems
256×No Errors
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01543
12843
23943
35843
47743
510043
616643
729339
836639
951539
1064339
1182139
12105139
13173539
14250439
15304139
16306739
17308739
18313139
19313139
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 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 x)) 2)))
(*.f64 1/2 (log1p.f64 (*.f64 2 (/.f64 x (-.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 48 to 37 computations (22.9% saved)

eval3.0ms (0.1%)

Compiler

Compiled 112 to 83 computations (25.9% 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)

localize93.0ms (3.6%)

Localize:

Found 4 expressions with local error:

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

Compiled 37 to 28 computations (24.3% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite135.0ms (5.2%)

Algorithm
3×rewrite-once
1×batch-egg-rewrite
Rules
1332×fma-def
874×*-commutative
538×cube-prod
490×flip-+
438×flip3-+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
14242
223842
3241742
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
(+.f64 0 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(+.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(+.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(+.f64 (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(+.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(+.f64 (*.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(-.f64 0 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) -2))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(*.f64 (+.f64 x 1) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(*.f64 (neg.f64 x) (*.f64 2 (/.f64 1 (+.f64 x -1))))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(*.f64 (fma.f64 x x x) (/.f64 2 (-.f64 1 (*.f64 x x))))
(*.f64 (+.f64 x (fma.f64 x x 1)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 (neg.f64 x) -1))
(*.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (*.f64 2 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 2 (fma.f64 x (fma.f64 x x x) x)))
(*.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (*.f64 2 (fma.f64 x (fma.f64 x x x) x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(*.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 2 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x -2))
(*.f64 -2 (*.f64 x (/.f64 1 (+.f64 x -1))))
(*.f64 -2 (/.f64 (neg.f64 x) (-.f64 1 x)))
(*.f64 -2 (/.f64 1 (/.f64 (+.f64 x -1) x)))
(*.f64 (-.f64 -1 x) (/.f64 (*.f64 2 x) (fma.f64 x x -1)))
(*.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 (*.f64 2 x) (+.f64 (pow.f64 x 3) -1)))
(*.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)) -1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1)) -2) x)
(*.f64 (*.f64 2 (/.f64 1 (+.f64 x -1))) (neg.f64 x))
(*.f64 (*.f64 x (/.f64 1 (+.f64 x -1))) -2)
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (fma.f64 x x x))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (/.f64 x (/.f64 -1 (-.f64 -1 x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (/.f64 x (/.f64 1 (+.f64 x (fma.f64 x x 1)))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 2 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 2 (/.f64 1 (+.f64 x (fma.f64 x x 1)))))
(*.f64 (/.f64 2 (/.f64 -1 (-.f64 -1 x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 2 (/.f64 1 (+.f64 x (fma.f64 x x 1)))) (/.f64 x (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 1 (+.f64 x (fma.f64 x x 1)))) (/.f64 2 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) -2)
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (fma.f64 x x -1)) (-.f64 -1 x))
(*.f64 (/.f64 (*.f64 2 x) (+.f64 (pow.f64 x 3) -1)) (-.f64 -1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (/.f64 (+.f64 x -1) x)) -2)
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))
(*.f64 (/.f64 x -1) (/.f64 -2 (-.f64 1 x)))
(*.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 x -1))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 2 (-.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1)
(neg.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(fma.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(fma.f64 1 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(fma.f64 1 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(fma.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) x (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) 1 (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1 (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x 1) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log.f64 (/.f64 1 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (neg.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (/.f64 1 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1))))
(+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) -1)) (log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (log.f64 (neg.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))) (log.f64 (neg.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (*.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))) (*.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))))) (+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) 3) (pow.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (+.f64 (*.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 3) (pow.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) 3)) (+.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))) (+.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))) (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
Calls

6 calls:

1.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

simplify156.0ms (6%)

Algorithm
1×egg-herbie
Rules
1493×fma-def
764×associate-/l*
763×*-commutative
650×associate-*r/
526×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03265523
18005243
222425167
368835155
Stop Event
1×node limit
Counts
147 → 218
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 0 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(+.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(+.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(+.f64 (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(+.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(+.f64 (*.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(-.f64 0 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) -2))
(*.f64 (*.f64 2 x) (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) 1)
(*.f64 (+.f64 x 1) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(*.f64 (neg.f64 x) (*.f64 2 (/.f64 1 (+.f64 x -1))))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(*.f64 (fma.f64 x x x) (/.f64 2 (-.f64 1 (*.f64 x x))))
(*.f64 (+.f64 x (fma.f64 x x 1)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 2 x))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 (neg.f64 x) -1))
(*.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (*.f64 2 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 2 (fma.f64 x (fma.f64 x x x) x)))
(*.f64 (*.f64 2 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (*.f64 2 (fma.f64 x (fma.f64 x x x) x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(*.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 2 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x -2))
(*.f64 -2 (*.f64 x (/.f64 1 (+.f64 x -1))))
(*.f64 -2 (/.f64 (neg.f64 x) (-.f64 1 x)))
(*.f64 -2 (/.f64 1 (/.f64 (+.f64 x -1) x)))
(*.f64 (-.f64 -1 x) (/.f64 (*.f64 2 x) (fma.f64 x x -1)))
(*.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 (*.f64 2 x) (+.f64 (pow.f64 x 3) -1)))
(*.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)) -1)
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1)) -2) x)
(*.f64 (*.f64 2 (/.f64 1 (+.f64 x -1))) (neg.f64 x))
(*.f64 (*.f64 x (/.f64 1 (+.f64 x -1))) -2)
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (fma.f64 x x x))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (/.f64 x (/.f64 -1 (-.f64 -1 x))))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (/.f64 x (/.f64 1 (+.f64 x (fma.f64 x x 1)))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (/.f64 2 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 2 (/.f64 1 (+.f64 x (fma.f64 x x 1)))))
(*.f64 (/.f64 2 (/.f64 -1 (-.f64 -1 x))) (/.f64 x (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 2 (/.f64 1 (+.f64 x (fma.f64 x x 1)))) (/.f64 x (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 1 (+.f64 x (fma.f64 x x 1)))) (/.f64 2 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) -2)
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (fma.f64 x x -1)) (-.f64 -1 x))
(*.f64 (/.f64 (*.f64 2 x) (+.f64 (pow.f64 x 3) -1)) (-.f64 -1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (/.f64 (+.f64 x -1) x)) -2)
(*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2) (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1/2))
(*.f64 (/.f64 x -1) (/.f64 -2 (-.f64 1 x)))
(*.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 x -1))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 2 (-.f64 1 x)))
(pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -1)
(neg.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(fma.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(fma.f64 1 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(fma.f64 1 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(fma.f64 (fma.f64 x x 1) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) x (/.f64 (*.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (/.f64 (*.f64 x -2) (fma.f64 x x -1)) 1 (*.f64 x (/.f64 (*.f64 x -2) (fma.f64 x x -1))))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1 (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(fma.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x 1) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) (/.f64 (*.f64 2 x) (-.f64 1 x))) (/.f64 (*.f64 2 x) (-.f64 1 x))))
(pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 1)
(exp.f64 (log.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log.f64 (/.f64 1 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (neg.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (/.f64 1 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1))))
(+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(-.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) -1)) (log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1)))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (log.f64 (neg.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))) (log.f64 (neg.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (*.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))) (*.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))))) (+.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) 3) (pow.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) 3)) (+.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))) (+.f64 (*.f64 (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2))) (log1p.f64 (/.f64 2 (/.f64 (+.f64 x -1) x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) 3) (pow.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) 3)) (+.f64 (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3))) (+.f64 (*.f64 (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x)))) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))) (*.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)) (log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2) (/.f64 2 (/.f64 (+.f64 x -1) x))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 2 (/.f64 (+.f64 x -1) x))) (-.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -2)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1) 1) (+.f64 1 (pow.f64 (+.f64 (/.f64 1/2 x) -1/2) -3)))))
(log.f64 (fma.f64 x (/.f64 2 (-.f64 1 x)) 1))
(log1p.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(*.f64 1 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 1)
(exp.f64 (log.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(log.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(binary32->binary64 (log1p.f32 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(binary32->binary64 (log1p.f32 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x))))
Outputs
(*.f64 2 x)
(+.f64 x 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 (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 (fma.f64 x x 1) (fma.f64 x x x)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.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 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.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 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
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(binary32->binary64 (log1p.f32 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x)))))
(binary32->binary64 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 (binary64->binary32 x))) (binary64->binary32 x))))
(binary32->binary64 (log1p.f32 (/.f32 2 (+.f32 (/.f32 1 (binary64->binary32 x)) -1))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(binary32->binary64 (binary64->binary32 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(binary32->binary64 (binary64->binary32 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(binary32->binary64 (/.f32 (*.f32 2 (binary64->binary32 x)) (-.f32 1 (binary64->binary32 x))))
(binary32->binary64 (*.f32 (/.f32 2 (-.f32 1 (binary64->binary32 x))) (binary64->binary32 x)))
(binary32->binary64 (/.f32 2 (+.f32 (/.f32 1 (binary64->binary32 x)) -1)))

eval137.0ms (5.3%)

Compiler

Compiled 4783 to 3830 computations (19.9% saved)

prune37.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2135218
Fresh000
Picked011
Done000
Total2136219
Accuracy
100.0%
Counts
219 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.6%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶97.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶99.9%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
▶99.3%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
▶99.6%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
▶97.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶99.9%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))))
▶0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 238 to 198 computations (16.8% saved)

localize236.0ms (9.1%)

Compiler

Compiled 183 to 131 computations (28.4% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked055
Done011
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓100.0%
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
✓99.6%
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
✓97.1%
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓99.9%
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))))
✓0.0%
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 125 to 103 computations (17.6% saved)

regimes25.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 x (/.f64 -1 (-.f64 -1 x))) (/.f64 2 (-.f64 1 (*.f64 x x))))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Calls

4 calls:

8.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
5.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms
(/.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 90 to 72 computations (20% saved)

regimes5.0ms (0.2%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes6.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
97.1%1x
Compiler

Compiled 13 to 10 computations (23.1% 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)

simplify9.0ms (0.4%)

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
02486
13786
24086
34286
44386
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 x x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/2 (log1p.f64 (+.f64 x x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness494.0ms (19.1%)

Rules
1493×fma-def
1493×fma-def
1332×fma-def
874×*-commutative
764×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03265523
18005243
222425167
368835155
01042
14242
223842
3241742
03265523
18005243
222425167
368835155
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 327 to 247 computations (24.5% saved)

end0.0ms (0%)

preprocess39.0ms (1.5%)

Compiler

Compiled 84 to 70 computations (16.7% saved)

Profiling

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