qlog (example 3.10)

Time bar (total: 7.5s)

analyze442.0ms (5.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.6s (74.8%)

Results
3.6s4127×body1024valid
1.1s2082×body512valid
479.0ms408×body2048valid
404.0ms1639×body256valid
Bogosity

preprocess339.0ms (4.5%)

Algorithm
egg-herbie
Rules
1122×unsub-neg
1000×times-frac
952×fma-def
746×associate-/l*
662×sub-neg
Problems
252×(log.f64 (-.f64 1 x))
No Errors
(log.f64 (+.f64 1 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019124
135104
254104
392104
4141104
5193104
6233104
7287104
8394104
9633104
101291104
113005104
125337104
137807104
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 (log.f64 (-.f64 1 (neg.f64 x)))) (log1p.f64 (neg.f64 x)))
(/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
Compiler

Compiled 37 to 28 computations (24.3% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune22.0ms (0.3%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize266.0ms (3.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 x)
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
8.5%
(log.f64 (+.f64 1 x))
8.4%
(log.f64 (-.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series7.0ms (0.1%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(log.f64 (-.f64 1 x))

rewrite127.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
798×unpow-prod-down
680×prod-diff
485×log1p-expm1-u
483×expm1-log1p-u
478×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01686
121066
2232626
Stop Event
node limit
Counts
5 → 158
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 x)
Outputs
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
1
1
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))

simplify115.0ms (1.5%)

Algorithm
egg-herbie
Rules
1250×cancel-sign-sub-inv
688×times-frac
680×fma-neg
518×sub-neg
484×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030010600
18799743
235179505
Stop Event
node limit
Counts
218 → 199
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
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(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
1
1
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1 x)))
(+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 -1 x))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 1/2 (pow.f64 x 2))) (/.f64 -1 x))
(+.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 x (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
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(log1p.f64 x)
1
1
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(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
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(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)

eval109.0ms (1.5%)

Compiler

Compiled 5616 to 4293 computations (23.6% saved)

prune27.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1963199
Fresh000
Picked112
Done000
Total1974201
Accuracy
100.0%
Counts
201 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize64.0ms (0.9%)

Compiler

Compiled 43 to 33 computations (23.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked022
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
98.3%
(-.f64 -1 x)
97.6%
-1
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes9.0ms (0.1%)

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

2 calls:

5.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
10×+-commutative
sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02071
13067
23667
34267
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 -1 x)
-1
Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness280.0ms (3.7%)

Rules
1250×cancel-sign-sub-inv
1122×unsub-neg
1000×times-frac
952×fma-def
746×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019124
135104
254104
392104
4141104
5193104
6233104
7287104
8394104
9633104
101291104
113005104
125337104
137807104
030010600
18799743
235179505
Stop Event
node limit
node limit
Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess52.0ms (0.7%)

Compiler

Compiled 94 to 72 computations (23.4% saved)

Profiling

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