Hyperbolic arc-(co)tangent

Time bar (total: 8.7s)

analyze12.0ms (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%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.6s (41.9%)

Results
2.3s4142×body1024valid
656.0ms2084×body512valid
351.0ms425×body2048valid
300.0ms1605×body256valid
1.0ms13×body256invalid
Bogosity

preprocess434.0ms (5%)

Algorithm
egg-herbie
Rules
1684×fma-def
1428×associate-+r+
1246×fma-neg
830×unsub-neg
698×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
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)))))
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)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
7.6%
(*.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))))
7.6%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize556.0ms (6.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
7.6%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
2.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite112.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
2050×pow1
1902×add-exp-log
1898×log1p-expm1-u
1898×expm1-log1p-u
256×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01357
127749
2371849
Stop Event
node limit
Counts
3 → 123
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)))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 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 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 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 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.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))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

simplify171.0ms (2%)

Algorithm
egg-herbie
Rules
1346×fma-neg
980×fma-def
774×div-sub
766×cancel-sign-sub-inv
748×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461449
16851449
214491449
346251449
Stop Event
node limit
Counts
159 → 110
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 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 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 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 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 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.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))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(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))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(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))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
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))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(*.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))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.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)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(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))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.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 (-.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (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 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log1p.f64 x))
(*.f64 2 x)
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.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 2 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))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(*.f64 2 x)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 2 x)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 2 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(*.f64 2 x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(*.f64 2 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(*.f64 2 x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(*.f64 2 x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.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 (-.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))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (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 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.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))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.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 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.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)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.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 2 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))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)

eval45.0ms (0.5%)

Compiler

Compiled 1670 to 1118 computations (33.1% saved)

prune33.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1073110
Fresh000
Picked112
Done000
Total1084112
Accuracy
100.0%
Counts
112 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (*.f64 2 x))
7.6%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
7.6%
(*.f64 1/2 (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))))
99.5%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (*.f64 2 x))
7.6%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
7.6%
(*.f64 1/2 (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))))
Compiler

Compiled 84 to 70 computations (16.7% saved)

localize842.0ms (9.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 2/3 (pow.f64 x 3))
100.0%
(/.f64 -1 (+.f64 x -1))
100.0%
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
7.6%
(log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x)))
Compiler

Compiled 95 to 74 computations (22.1% saved)

series10.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@0
(log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 -1 (+.f64 x -1))

rewrite293.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1348×log-prod
988×prod-diff
722×fma-def
522×expm1-udef
516×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01580
132568
2401964
Stop Event
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 2/3 (pow.f64 x 3))
Outputs
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 x 1) (+.f64 -1 x))))
(+.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 x 1))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (neg.f64 x)))) (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (+.f64 x 1))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x))))) (log.f64 (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (+.f64 x 1))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (neg.f64 (log.f64 (+.f64 -1 x))))
(+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (*.f64 (log1p.f64 x) 1))
(+.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (log.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 (sqrt.f64 (+.f64 -1 x)))) (log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 -1 x)))))
(+.f64 (log.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (sqrt.f64 (+.f64 x 1)))) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (+.f64 x 1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2))) (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (neg.f64 (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1 x -1) (+.f64 -1 (pow.f64 x 3)))) (log.f64 (-.f64 (fma.f64 x x 1) (*.f64 -1 x))))
(+.f64 (log.f64 (/.f64 (fma.f64 -1 x -1) (fma.f64 x x -1))) (log1p.f64 x))
(-.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 3)) (log.f64 (*.f64 (*.f64 (+.f64 -1 x) -1) (fma.f64 x (+.f64 -1 x) 1))))
(-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 x)) 0))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 (+.f64 -1 x) (fma.f64 -1 x -1))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 -1 x) (+.f64 x 1))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (*.f64 (*.f64 (+.f64 -1 x) -1) (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (+.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3)))) (log.f64 (*.f64 (+.f64 -1 x) (fma.f64 x (+.f64 -1 x) 1))))
(-.f64 (log.f64 (*.f64 -1 (-.f64 1 (*.f64 x x)))) (log.f64 (*.f64 (+.f64 -1 x) (-.f64 1 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 (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 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 -1 x) 1) (*.f64 (+.f64 -1 x) -1))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1)) (log.f64 (*.f64 (-.f64 1 x) (+.f64 -1 x))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1)) (log.f64 (*.f64 (-.f64 1 x) (-.f64 1 x))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1)) (log.f64 (*.f64 (-.f64 1 x) (*.f64 (+.f64 -1 x) -1))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (-.f64 1 x)) 3))) (log.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)) (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (*.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))))) (log.f64 (-.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 -1 (+.f64 -1 x)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (/.f64 (fma.f64 -1 x -1) 1)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 -1 x -1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 -1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 -1 x -1) (sqrt.f64 (+.f64 -1 x)))) (log.f64 (sqrt.f64 (+.f64 -1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))) (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x)))) (*.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (log.f64 (/.f64 (+.f64 -1 x) (fma.f64 -1 x -1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 1 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 x) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x))))) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(+.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 0 (/.f64 (+.f64 x 1) (-.f64 1 x)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 -1 (+.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1)
(/.f64 -1 (/.f64 (+.f64 -1 x) (+.f64 x 1)))
(/.f64 1 (/.f64 (+.f64 -1 x) (fma.f64 -1 x -1)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(/.f64 (+.f64 x 1) (*.f64 (+.f64 -1 x) -1))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (-.f64 1 x) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (*.f64 (+.f64 -1 x) -1) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (*.f64 (+.f64 -1 x) -1) (-.f64 1 x)))
(/.f64 (fma.f64 -1 x -1) (+.f64 -1 x))
(/.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 x) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 -1 x) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (*.f64 (+.f64 -1 x) -1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (-.f64 1 x) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (-.f64 1 x) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (*.f64 (-.f64 1 x) (*.f64 (+.f64 -1 x) -1)))
(/.f64 (neg.f64 (fma.f64 -1 x -1)) (-.f64 1 x))
(/.f64 (+.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3) (pow.f64 (/.f64 x (-.f64 1 x)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)) (-.f64 (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x))) (*.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x))))))
(/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)) (*.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))) (-.f64 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x))))
(/.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 -1 (+.f64 -1 x))) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (/.f64 (fma.f64 -1 x -1) 1) (+.f64 -1 x))
(/.f64 (/.f64 (fma.f64 -1 x -1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x)))
(/.f64 (/.f64 (fma.f64 -1 x -1) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))
(pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 x)))) (exp.f64 (/.f64 x (-.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (-.f64 1 x))) (exp.f64 (/.f64 -1 (+.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 x (-.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3) (pow.f64 (+.f64 x 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
(fma.f64 -1 (/.f64 -1 (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 -1 (/.f64 -1 (-.f64 1 x)) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 -1 (*.f64 (/.f64 -1 (-.f64 1 x)) x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 -1 (*.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 -1 (*.f64 (/.f64 -1 (-.f64 1 x)) 1) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 x (/.f64 -1 (+.f64 -1 x)) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 x)) x (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 x)) 1 (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 x)) 1 (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 1 (/.f64 -1 (+.f64 -1 x)) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 1 (/.f64 x (-.f64 1 x)) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 1) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (*.f64 -1 x) (/.f64 -1 (-.f64 1 x)) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (-.f64 1 x)) -1 (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (-.f64 1 x)) -1 (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 x (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 0 (/.f64 -1 (+.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x)))) (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 x)))) 1)
(*.f64 -1 (/.f64 -1 (-.f64 1 x)))
(*.f64 -1 (*.f64 (/.f64 -1 (-.f64 1 x)) 1))
(*.f64 (/.f64 -1 (+.f64 -1 x)) 1)
(*.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 -1 (-.f64 1 x)) -1)
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (/.f64 -1 (+.f64 -1 x)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (*.f64 (+.f64 -1 x) -1) -1)
(neg.f64 (/.f64 -1 (-.f64 1 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 x))))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (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 (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 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify177.0ms (2%)

Algorithm
egg-herbie
Rules
1188×unswap-sqr
784×log-prod
520×fma-neg
520×associate-*r*
462×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05677981
114306919
249946677
Stop Event
node limit
Counts
255 → 355
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)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 x 1) (+.f64 -1 x))))
(+.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 x 1))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
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(fma.f64 (/.f64 -1 (-.f64 1 x)) -1 (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (-.f64 1 x)) -1 (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (/.f64 x (-.f64 1 x)))) (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 x)) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 x (/.f64 1 (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (*.f64 (/.f64 -1 (+.f64 -1 x)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 -1 (+.f64 -1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (-.f64 1 x)))
(fma.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1) (*.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 0 (/.f64 -1 (+.f64 -1 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x)))) (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 x)))) 1)
(*.f64 -1 (/.f64 -1 (-.f64 1 x)))
(*.f64 -1 (*.f64 (/.f64 -1 (-.f64 1 x)) 1))
(*.f64 (/.f64 -1 (+.f64 -1 x)) 1)
(*.f64 1 (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 -1 (-.f64 1 x)) -1)
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 -1 x)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x 1))
(pow.f64 (/.f64 -1 (+.f64 -1 x)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (*.f64 (+.f64 -1 x) -1) -1)
(neg.f64 (/.f64 -1 (-.f64 1 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -1 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 -1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 x))))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) (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 (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 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 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 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 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 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (*.f64 x x))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 x (*.f64 2 (+.f64 (pow.f64 x 3) (*.f64 x x)))))
(+.f64 1 (*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x 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 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x 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 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (pow.f64 x 2)))
(+.f64 1 (+.f64 x (*.f64 x x)))
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (+.f64 (pow.f64 x 3) (*.f64 x x)))
(+.f64 x (+.f64 1 (*.f64 x (fma.f64 x x x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 x 1) (+.f64 -1 x))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(+.f64 (log.f64 -1) (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 x -1)))
(+.f64 (log.f64 -1) (log.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 x 1))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (neg.f64 (log1p.f64 (neg.f64 x)))) (log.f64 (*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (+.f64 x 1))))
(fma.f64 1/2 (neg.f64 (log1p.f64 (neg.f64 x))) (log.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))
(+.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 -1/2 (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 -1 x)))))
(+.f64 (*.f64 2/3 (log1p.f64 x)) (log.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (+.f64 x -1))))
(+.f64 (*.f64 2 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x))))) (log.f64 (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 -1 x))) (+.f64 x 1))))
(+.f64 (*.f64 2/3 (neg.f64 (log1p.f64 (neg.f64 x)))) (log.f64 (*.f64 (+.f64 x 1) (/.f64 -1 (cbrt.f64 (+.f64 x -1))))))
(+.f64 (*.f64 -2/3 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 (fma.f64 x -1 -1) (cbrt.f64 (+.f64 x -1)))))
(+.f64 (*.f64 -2/3 (log1p.f64 (neg.f64 x))) (log.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 x -1)))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -1 (+.f64 -1 x)))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))))
(fma.f64 (log1p.f64 x) 1/2 (log.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 x -1))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (neg.f64 (log.f64 (+.f64 -1 x))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(+.f64 (log.f64 -1) (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (+.f64 x -1)))
(+.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) (*.f64 (log1p.f64 x) 1))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (log.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (log.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1)))))
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(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
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(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(*.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))

eval400.0ms (4.6%)

Compiler

Compiled 6366 to 4753 computations (25.3% saved)

prune223.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3550355
Fresh000
Picked033
Done011
Total3554359
Accuracy
100.0%
Counts
359 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
99.4%
(*.f64 1/2 (*.f64 2 x))
7.6%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
7.6%
(*.f64 1/2 (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))))
Compiler

Compiled 101 to 83 computations (17.8% saved)

regimes50.0ms (0.6%)

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 1/2 (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 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))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

16.0ms
x
10.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
8.0ms
(log.f64 (/.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 91 to 73 computations (19.8% saved)

regimes63.0ms (0.7%)

Counts
5 → 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 1/2 (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 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:

33.0ms
x
8.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
8.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.5%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.5%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 83 to 67 computations (19.3% saved)

regimes28.0ms (0.3%)

Accuracy

Total -59.1b remaining (-14601%)

Threshold costs -59.1b (-14601%)

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:

11.0ms
x
7.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
7.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.4%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01969
13169
23669
33969
44069
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)

soundness1.4s (16.7%)

Rules
1684×fma-def
1684×fma-def
1428×associate-+r+
1428×associate-+r+
1246×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
01991
13875
26475
312875
426475
571275
6197675
7309875
8456075
9558875
10584975
11605775
12619275
13630375
14659475
15677875
16686575
17717375
18729375
19732175
20734175
21734975
22734975
Stop Event
node limit
node limit
Compiler

Compiled 84 to 65 computations (22.6% saved)

end0.0ms (0%)

preprocess123.0ms (1.4%)

Compiler

Compiled 76 to 62 computations (18.4% saved)

Profiling

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