Hyperbolic arc-(co)tangent

Time bar (total: 6.7s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.2s (47.6%)

Results
2.2s4156×body1024valid
584.0ms2099×body512valid
260.0ms1766×body256valid
149.0ms235×body2048valid
0.0msbody256invalid
Bogosity

preprocess880.0ms (13.1%)

Algorithm
egg-herbie
Rules
1946×fma-def
1402×fma-neg
1276×associate-+r+
794×distribute-lft-in
714×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-1(0.006100766215522696)(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
00-0-x
00-0-(/.f64 1 2)
00-0-(-.f64 1 x)
00-0-(/.f64 (+.f64 1 x) (-.f64 1 x))
00-0-(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
00-0-(+.f64 1 x)
00-0-2
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 95 to 75 computations (21.1% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
9.2%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
9.2%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize254.0ms (3.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (neg.f64 x))
100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
9.3%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite344.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1236×prod-diff
674×log1p-expm1-u
672×expm1-log1p-u
634×fma-def
620×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01587
121875
2293375
Stop Event
node limit
Counts
4 → 317
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (neg.f64 (+.f64 x -1))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) 1)) (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
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(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log1p.f64 x) 0)
(+.f64 0 (log1p.f64 x))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (+.f64 1 x) 1))))
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.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 2)) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 2)))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (neg.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 (/.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 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)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 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))

simplify159.0ms (2.4%)

Algorithm
egg-herbie
Rules
1234×fma-neg
750×distribute-rgt-in
734×cancel-sign-sub-inv
700×associate-+r+
688×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05283922
113563922
233783922
Stop Event
node limit
Counts
365 → 256
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(*.f64 -1 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(*.f64 -1 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))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
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(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 2)))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (neg.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 (/.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 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)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 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))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
1
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(*.f64 2 x)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(*.f64 2 x)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(*.f64 2 x)
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(*.f64 -1 (log.f64 -1))
(*.f64 2 x)
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(*.f64 -1 x)
(*.f64 2 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 2 x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 2 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)))))
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(*.f64 2 x)
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(*.f64 2 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 2 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 2 x)
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(*.f64 2 x)
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(*.f64 2 x)
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(*.f64 2 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))))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(*.f64 2 x)
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log1p.f64 x))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(*.f64 2 x)
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 2 x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(*.f64 2 x)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(*.f64 2 x)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 2 x)
(-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 2 x)
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(*.f64 2 x)
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 2 x)
(-.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (neg.f64 (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 x))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x)))) (log1p.f64 (fma.f64 x x x)))
(*.f64 2 x)
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log1p.f64 x))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 x -1) 1)) (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 2 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 2 x)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 2 x)
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
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(*.f64 2 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
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(*.f64 2 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(*.f64 2 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(*.f64 2 x)

eval80.0ms (1.2%)

Compiler

Compiled 4230 to 2771 computations (34.5% saved)

prune43.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2533256
Fresh000
Picked022
Done000
Total2535258
Accuracy
100.0%
Counts
258 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.0%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
98.3%
(*.f64 1/2 (*.f64 2 x))
9.2%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.0%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
98.3%
(*.f64 1/2 (*.f64 2 x))
9.2%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 124 to 102 computations (17.7% saved)

localize198.0ms (2.9%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 2/3 (pow.f64 x 3))
100.0%
(pow.f64 x 7)
99.9%
(*.f64 2/7 (pow.f64 x 7))
99.9%
(*.f64 2/5 (pow.f64 x 5))
99.8%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 153 to 121 computations (20.9% saved)

series7.0ms (0.1%)

Counts
5 → 0
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@-inf
(pow.f64 x 7)
1.0ms
x
@inf
(pow.f64 x 7)
1.0ms
x
@0
(*.f64 2/7 (pow.f64 x 7))

rewrite100.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
766×log-prod
602×log1p-expm1-u
602×expm1-log1p-u
574×exp-prod
546×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
116874
2180874
Stop Event
node limit
Counts
5 → 123
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/5 (pow.f64 x 5))
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 x 7)
(*.f64 2/3 (pow.f64 x 3))
Outputs
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 x 10) 4/25) 1/2)
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 2/7 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 x 14) 4/49) 1/2)
(pow.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7)) 2)
(pow.f64 (exp.f64 1) (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 2)) (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))) (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(sqrt.f64 (*.f64 (pow.f64 x 14) 4/49))
(log.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))
(cbrt.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/7 (pow.f64 x 7))))
(+.f64 0 (pow.f64 x 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 7))) 1)
(*.f64 (pow.f64 x 7) 1)
(*.f64 (pow.f64 x 7) (log.f64 (exp.f64 1)))
(*.f64 1 (pow.f64 x 7))
(*.f64 (pow.f64 (cbrt.f64 x) 7) (cbrt.f64 (pow.f64 x 14)))
(*.f64 (cbrt.f64 (pow.f64 x 14)) (pow.f64 (cbrt.f64 x) 7))
(*.f64 (pow.f64 x 6) x)
(*.f64 (pow.f64 x 7/2) (pow.f64 x 7/2))
(*.f64 (pow.f64 (cbrt.f64 x) 14) (pow.f64 (cbrt.f64 x) 7))
(sqrt.f64 (pow.f64 x 14))
(log.f64 (exp.f64 (pow.f64 x 7)))
(cbrt.f64 (pow.f64 x 21))
(expm1.f64 (log1p.f64 (pow.f64 x 7)))
(exp.f64 (*.f64 7 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 7 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 7))
(exp.f64 (*.f64 (*.f64 (*.f64 7 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 7/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 7)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 21)) 1/3))
(exp.f64 (*.f64 (*.f64 7/2 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 7/2) 2))
(exp.f64 (+.f64 (*.f64 7/2 (log.f64 x)) (*.f64 (log.f64 x) 7/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 7/2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 (log.f64 x) 7/2)))
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (pow.f64 x 7)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify88.0ms (1.3%)

Algorithm
egg-herbie
Rules
950×fma-def
936×unswap-sqr
840×sqr-pow
714×distribute-lft-in
690×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02722491
15912306
216212306
359242294
Stop Event
node limit
Counts
123 → 116
Calls
Call 1
Inputs
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 x 10) 4/25) 1/2)
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 2/7 (pow.f64 x 7)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7))) 3)
(pow.f64 (*.f64 (pow.f64 x 14) 4/49) 1/2)
(pow.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7)) 2)
(pow.f64 (exp.f64 1) (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 2)) (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))) (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(sqrt.f64 (*.f64 (pow.f64 x 14) 4/49))
(log.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))
(cbrt.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7))))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/7 (pow.f64 x 7))))
(+.f64 0 (pow.f64 x 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 7))) 1)
(*.f64 (pow.f64 x 7) 1)
(*.f64 (pow.f64 x 7) (log.f64 (exp.f64 1)))
(*.f64 1 (pow.f64 x 7))
(*.f64 (pow.f64 (cbrt.f64 x) 7) (cbrt.f64 (pow.f64 x 14)))
(*.f64 (cbrt.f64 (pow.f64 x 14)) (pow.f64 (cbrt.f64 x) 7))
(*.f64 (pow.f64 x 6) x)
(*.f64 (pow.f64 x 7/2) (pow.f64 x 7/2))
(*.f64 (pow.f64 (cbrt.f64 x) 14) (pow.f64 (cbrt.f64 x) 7))
(sqrt.f64 (pow.f64 x 14))
(log.f64 (exp.f64 (pow.f64 x 7)))
(cbrt.f64 (pow.f64 x 21))
(expm1.f64 (log1p.f64 (pow.f64 x 7)))
(exp.f64 (*.f64 7 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 7 (log.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 7))
(exp.f64 (*.f64 (*.f64 (*.f64 7 (log.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 7/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 7)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 21)) 1/3))
(exp.f64 (*.f64 (*.f64 7/2 (log.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 7/2) 2))
(exp.f64 (+.f64 (*.f64 7/2 (log.f64 x)) (*.f64 (log.f64 x) 7/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 7/2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 (log.f64 x) 7/2)))
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (pow.f64 x 7)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))))
(*.f64 2/5 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 4/25) 1/2)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) 5 (log.f64 2/5))) 2)) (cbrt.f64 (fma.f64 (log.f64 x) 5 (log.f64 2/5))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (log.f64 x) 5 (log.f64 2/5)))) (sqrt.f64 (fma.f64 (log.f64 x) 5 (log.f64 2/5))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(*.f64 2/5 (pow.f64 x 5))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(*.f64 2/5 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1) 1))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5)))) 3))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 5 (log.f64 x) (log.f64 2/5))) 1/3))
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5))) 2))
(*.f64 2/5 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))))
(*.f64 2/7 (pow.f64 x 7))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7)))) 1)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (*.f64 2/7 (pow.f64 x 7)) 1)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7))) 3)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (*.f64 (pow.f64 x 14) 4/49) 1/2)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3) 1/3)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7)) 2)
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (exp.f64 1) (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 2)) (cbrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) 7 (log.f64 2/7))) 2)) (cbrt.f64 (fma.f64 (log.f64 x) 7 (log.f64 2/7))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))) (sqrt.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (log.f64 x) 7 (log.f64 2/7)))) (sqrt.f64 (fma.f64 (log.f64 x) 7 (log.f64 2/7))))
(sqrt.f64 (*.f64 (pow.f64 x 14) 4/49))
(*.f64 2/7 (pow.f64 x 7))
(log.f64 (pow.f64 (exp.f64 2/7) (pow.f64 x 7)))
(*.f64 2/7 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 2/7 (pow.f64 x 7)) 3))
(*.f64 2/7 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 2/7 (pow.f64 x 7))))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (*.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 2/7)) 1) 1))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/7 (pow.f64 x 7)))) 3))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 7 (log.f64 x) (log.f64 2/7))) 1/3))
(*.f64 2/7 (pow.f64 x 7))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 7/2) (sqrt.f64 2/7))) 2))
(*.f64 2/7 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 2/7 (pow.f64 x 7))))
(*.f64 2/7 (pow.f64 x 7))
(+.f64 0 (pow.f64 x 7))
(pow.f64 x 7)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 7)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 7)))))
(pow.f64 x 7)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 7))) 1)
(pow.f64 x 7)
(*.f64 (pow.f64 x 7) 1)
(pow.f64 x 7)
(*.f64 (pow.f64 x 7) (log.f64 (exp.f64 1)))
(pow.f64 x 7)
(*.f64 1 (pow.f64 x 7))
(pow.f64 x 7)
(*.f64 (pow.f64 (cbrt.f64 x) 7) (cbrt.f64 (pow.f64 x 14)))
(*.f64 (cbrt.f64 (pow.f64 x 14)) (pow.f64 (cbrt.f64 x) 7))
(*.f64 (pow.f64 (cbrt.f64 x) 7) (cbrt.f64 (pow.f64 x 14)))
(*.f64 (pow.f64 x 6) x)
(pow.f64 x 7)
(*.f64 (pow.f64 x 7/2) (pow.f64 x 7/2))
(pow.f64 x 7)
(*.f64 (pow.f64 (cbrt.f64 x) 14) (pow.f64 (cbrt.f64 x) 7))
(*.f64 (pow.f64 (cbrt.f64 x) 7) (pow.f64 (cbrt.f64 x) 14))
(pow.f64 (pow.f64 (cbrt.f64 x) 7) 3)
(pow.f64 (cbrt.f64 x) 21)
(sqrt.f64 (pow.f64 x 14))
(pow.f64 x 7)
(log.f64 (exp.f64 (pow.f64 x 7)))
(pow.f64 x 7)
(cbrt.f64 (pow.f64 x 21))
(pow.f64 x 7)
(expm1.f64 (log1p.f64 (pow.f64 x 7)))
(pow.f64 x 7)
(exp.f64 (*.f64 7 (log.f64 x)))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 7 (log.f64 x)) 1))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 7))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 (*.f64 7 (log.f64 x)) 1) 1))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 7/2))
(pow.f64 x 7)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 7)) 3))
(*.f64 (pow.f64 (cbrt.f64 x) 7) (pow.f64 (cbrt.f64 x) 14))
(pow.f64 (pow.f64 (cbrt.f64 x) 7) 3)
(pow.f64 (cbrt.f64 x) 21)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 21)) 1/3))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 7/2 (log.f64 x)) 2))
(pow.f64 x 7)
(exp.f64 (*.f64 (*.f64 (log.f64 x) 7/2) 2))
(pow.f64 x 7)
(exp.f64 (+.f64 (*.f64 7/2 (log.f64 x)) (*.f64 (log.f64 x) 7/2)))
(pow.f64 x 7)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 7/2 (log.f64 x))))
(pow.f64 x 7)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 7/2) (*.f64 (log.f64 x) 7/2)))
(pow.f64 x 7)
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (log.f64 x)))
(pow.f64 x 7)
(exp.f64 (+.f64 (*.f64 6 (log.f64 x)) (*.f64 (log.f64 x) 1)))
(pow.f64 x 7)
(log1p.f64 (expm1.f64 (pow.f64 x 7)))
(pow.f64 x 7)
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3))))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 3/2)) 2))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))

eval84.0ms (1.2%)

Compiler

Compiled 3638 to 3021 computations (17% saved)

prune22.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1420142
Fresh000
Picked033
Done022
Total1425147
Accuracy
100.0%
Counts
147 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
99.0%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
98.3%
(*.f64 1/2 (*.f64 2 x))
9.2%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 132 to 108 computations (18.2% saved)

regimes15.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

7.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 102 to 82 computations (19.6% saved)

regimes11.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

4.0ms
x
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 71 to 57 computations (19.7% saved)

regimes10.0ms (0.2%)

Accuracy

Total -57.9b remaining (-5323%)

Threshold costs -57.9b (-5323%)

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

3 calls:

6.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
98.3%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02184
13384
23884
34184
44284
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (*.f64 2 x))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness1.2s (17.5%)

Rules
1946×fma-def
1946×fma-def
1402×fma-neg
1402×fma-neg
1276×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
022144
151124
285124
3168124
4391124
5915124
62246124
73420124
84980124
95860124
106148124
116388124
126525124
136639124
146926124
157106124
167192124
177503124
187623124
197651124
207671124
217679124
227679124
Stop Event
node limit
node limit
Compiler

Compiled 84 to 65 computations (22.6% saved)

end0.0ms (0%)

preprocess41.0ms (0.6%)

Remove

(negabs x)

Compiler

Compiled 148 to 118 computations (20.3% saved)

Profiling

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