qlog (example 3.10)

Time bar (total: 7.5s)

analyze416.0ms (5.6%)

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)

sample4.2s (56.6%)

Results
2.9s4097×body1024valid
703.0ms2139×body512valid
367.0ms417×body2048valid
251.0ms1603×body256valid
Bogosity

preprocess329.0ms (4.4%)

Algorithm
egg-herbie
Rules
1122×unsub-neg
1000×times-frac
952×fma-def
746×associate-/l*
662×sub-neg
Problems
251×(log.f64 (-.f64 1 x))
(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)

prune2.0ms (0%)

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)

localize530.0ms (7.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
8.4%
(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
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
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
@inf
(log.f64 (-.f64 1 x))

rewrite103.0ms (1.4%)

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
01674
121058
2232618
Stop Event
node limit
Counts
4 → 106
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))
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

simplify96.0ms (1.3%)

Algorithm
egg-herbie
Rules
1240×cancel-sign-sub-inv
688×times-frac
544×fma-neg
504×sub-neg
484×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02998964
18798176
234887958
Stop Event
node limit
Counts
154 → 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)))
(-.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 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.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 (*.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))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.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 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.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))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
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(+.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
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 (log.f64 x) (-.f64 (log.f64 -1) (/.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 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.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 (/.f64 1 x) (-.f64 (log.f64 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))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.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 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12)) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (pow.f64 x 3) -5/12 -1))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
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(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.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 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (fma.f64 x x x) 1)))
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(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
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(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (-.f64 -1 x)))
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(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x -1) 1))))
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(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 -1 x)))
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(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (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)))
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(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 x 1)))) (*.f64 -1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.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 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(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 (pow.f64 x 2) x)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(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)))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.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 (pow.f64 x 2) x)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 (*.f64 1/3 (log1p.f64 x)) (*.f64 2 (*.f64 1/3 (log1p.f64 x))))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(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 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.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 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (fma.f64 x x x) 1)))
(-.f64 0 (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 (pow.f64 x 2) x)))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (+.f64 -1 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.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 (neg.f64 (+.f64 (pow.f64 x 3) 1))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 x 3))) (log.f64 (neg.f64 (fma.f64 x (+.f64 -1 x) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (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) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 -1/3 (log1p.f64 x)))
(+.f64 (fma.f64 2 (log.f64 (hypot.f64 1 x)) (*.f64 -2 (log.f64 (cbrt.f64 (+.f64 x 1))))) (*.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 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 x 1)))) (*.f64 -1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 3 (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 2 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 1/3 (*.f64 3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.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 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(*.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 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(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 (pow.f64 x 2) x)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(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)))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(log1p.f64 x)
1
1

eval108.0ms (1.4%)

Compiler

Compiled 5632 to 4306 computations (23.5% saved)

prune29.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1963199
Fresh000
Picked022
Done000
Total1965201
Accuracy
100.0%
Counts
201 → 5
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)))
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
Compiler

Compiled 70 to 56 computations (20% saved)

localize58.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiled 43 to 33 computations (23.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite115.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
848×associate-*r*
756×expm1-udef
728×associate-*l*
404×unpow-prod-down
286×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
16916
270616
3764016
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))

simplify45.0ms (0.6%)

Algorithm
egg-herbie
Rules
772×times-frac
710×distribute-lft-out
648×fma-neg
514×associate--l+
496×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085533
1205531
2580531
32681103
Stop Event
node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
Outputs
(+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 1 (exp.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 0 (log.f64 (cbrt.f64 (pow.f64 1 -1/2))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/4)))
(*.f64 -1/2 (pow.f64 x 2))
0
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))))
(*.f64 -1/2 (pow.f64 x 2))
0
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)) 1) (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (E.f64) (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 0)) 2)) (cbrt.f64 (log.f64 0)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 0))) (sqrt.f64 (log.f64 0)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(*.f64 -1/2 (pow.f64 x 2))
0
(fabs.f64 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
0
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
0
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(*.f64 -1/2 (pow.f64 x 2))
0
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(*.f64 -1/2 (pow.f64 x 2))
0
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(*.f64 -1/2 (pow.f64 x 2))
0
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
0

eval12.0ms (0.2%)

Compiler

Compiled 528 to 457 computations (13.4% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New31132
Fresh011
Picked022
Done022
Total31637
Accuracy
100.0%
Counts
37 → 6
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)))
99.5%
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.5%
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
Compiler

Compiled 102 to 84 computations (17.6% saved)

localize484.0ms (6.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 -1/2 (pow.f64 x 2))
48.5%
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
Compiler

Compiled 62 to 52 computations (16.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
856×unpow-prod-down
754×fma-def
684×prod-diff
531×log1p-expm1-u
531×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01222
113816
2178716
Stop Event
node limit
Counts
1 → 89
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)
Outputs
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 x 2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/2)))
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3))
(*.f64 (pow.f64 x 2) (pow.f64 -1/8 1/3))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 -1/2) 3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2) 3) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 (pow.f64 -1/8 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) -1/2) 1/3) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 -1/2))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (pow.f64 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 0) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 0 (*.f64 (*.f64 -1/2 (pow.f64 x 2)) 0))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 0) (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) -1)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 x 2) 0)
(fma.f64 x (*.f64 x -1/2) 0)
(fma.f64 (pow.f64 x 2) -1/2 0)
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 0)
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) 0)
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 1 -1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1) 0)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2) 0)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 0)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1) 0)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))) 0)
(fma.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)) 0)
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) 0)
(fma.f64 (*.f64 -1/2 x) x 0)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)) 0)

simplify74.0ms (1%)

Algorithm
egg-herbie
Rules
764×distribute-lft-neg-in
736×associate-*r*
730×distribute-rgt-neg-in
710×fma-def
650×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02073001
14712884
211312849
344422840
Stop Event
node limit
Counts
101 → 113
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (log.f64 (exp.f64 -1)))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 x 2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/2)))
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3))
(*.f64 (pow.f64 x 2) (pow.f64 -1/8 1/3))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 1 1/3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 -1/2) 3) (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2) 3) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 (pow.f64 -1/8 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) -1/2) 1/3) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 -1/2))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (pow.f64 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 0) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 0 (*.f64 (*.f64 -1/2 (pow.f64 x 2)) 0))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 0) (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) -1)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 x 2) 0)
(fma.f64 x (*.f64 x -1/2) 0)
(fma.f64 (pow.f64 x 2) -1/2 0)
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 0)
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) 0)
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 1 -1)
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1) 0)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2) 0)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 0)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1) 0)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))) 0)
(fma.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1)) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)) 0)
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) 0)
(fma.f64 (*.f64 -1/2 x) x 0)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)) 0)
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (log.f64 (exp.f64 -1)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (fma.f64 -1/2 (pow.f64 x 2) 1))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 3))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (pow.f64 -1/8 1/3))
(*.f64 (pow.f64 x 2) (cbrt.f64 -1/8))
(*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/2) 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 -1/2 (pow.f64 x 2)) (log.f64 (exp.f64 1)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1))
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 x) 4) (cbrt.f64 (pow.f64 x 2))))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 x) 4) (cbrt.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 1 1/3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 -1/2) 3) (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2) 3) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 -1/8 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 x 2) (cbrt.f64 -1/8))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) -1/2) 1/3) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (*.f64 (pow.f64 x 4) -1/8)))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (*.f64 -1/8 (pow.f64 x 4))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 2)) 1/3) (cbrt.f64 -1/2))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/4))))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 1/4 (pow.f64 x 6))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/4) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 (pow.f64 x 4) (*.f64 1/4 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))))
(*.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 5/2)) (cbrt.f64 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) (neg.f64 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 0) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 0 (*.f64 (*.f64 -1/2 (pow.f64 x 2)) 0))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 0) (fma.f64 (pow.f64 x 4) 1/4 0))
(/.f64 (*.f64 -1/8 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) 1/4))
(*.f64 -1/2 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 0) (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (/.f64 (pow.f64 x 4) -2) (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/4) -1/2)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(*.f64 (pow.f64 x 2) (cbrt.f64 -1/8))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1)) -1)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(pow.f64 (/.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))))) -1)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(*.f64 (pow.f64 x 2) (cbrt.f64 -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2)))) 3))
(*.f64 -1/2 (pow.f64 x 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3))
(*.f64 (pow.f64 x 2) (cbrt.f64 -1/8))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(*.f64 -1/2 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 -1/2 (pow.f64 x 2) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 x (*.f64 x -1/2) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) -1/2 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (*.f64 -1/2 (pow.f64 x 2)) 1 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 1 -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) 0)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 0)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 1) 0)
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 x 2) 1)) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -1/2) 0)
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 x) 4) (cbrt.f64 (pow.f64 x 2))))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) -1/8 1) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 1/2 (pow.f64 x 2)))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 4) 1/4 1) (*.f64 (pow.f64 x 2) 1/2))) -1)
(+.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 (pow.f64 x 2) 1/2 (fma.f64 (pow.f64 x 4) 1/4 1))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))) 0)
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/2 (pow.f64 x 2) 2))))
(fma.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) -1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 x 2) -1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)) 0)
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (/.f64 1 (fma.f64 -1/2 (pow.f64 x 2) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (*.f64 -1/2 x) x 0)
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (pow.f64 x 2)) 0)
(*.f64 (pow.f64 (cbrt.f64 x) 4) (*.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 x) 4) (cbrt.f64 (pow.f64 x 2))))

eval63.0ms (0.8%)

Compiler

Compiled 2800 to 2412 computations (13.9% saved)

prune28.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1441145
Fresh011
Picked011
Done134
Total1456151
Accuracy
100.0%
Counts
151 → 6
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)))
99.5%
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.8%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.5%
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
Compiler

Compiled 102 to 82 computations (19.6% saved)

localize38.0ms (0.5%)

Compiler

Compiled 37 to 26 computations (29.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
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)))
99.5%
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
99.6%
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
99.3%
(-.f64 -1 x)
98.1%
-1
Compiler

Compiled 108 to 86 computations (20.4% saved)

regimes13.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)) 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 69 to 54 computations (21.7% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 44 to 35 computations (20.5% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.1%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
01974
13070
23670
34270
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 (*.f64 -1/2 x) x)) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 x (*.f64 x -1/2))) 1)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(-.f64 -1 x)
-1
Compiler

Compiled 23 to 17 computations (26.1% saved)

soundness536.0ms (7.2%)

Rules
1240×cancel-sign-sub-inv
1122×unsub-neg
1000×times-frac
952×fma-def
856×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019124
135104
254104
392104
4141104
5193104
6233104
7287104
8394104
9633104
101291104
113005104
125337104
137807104
02998964
18798176
234887958
0916
16916
270616
3764016
01222
113816
2178716
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 227 to 184 computations (18.9% saved)

end0.0ms (0%)

preprocess59.0ms (0.8%)

Compiler

Compiled 94 to 70 computations (25.5% saved)

Profiling

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