Details

Time bar (total: 2.4s)

analyze3.0ms (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 4 to 3 computations (25% saved)

sample714.0ms (29.8%)

Results
703.0ms8256×body256valid
0.0msbody256invalid
Bogosity

preprocess14.0ms (0.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(atanh.f64 x)
Outputs
(atanh.f64 x)
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify116.0ms (4.9%)

Algorithm
egg-herbie
Rules
562×fma-def
516×associate-*r*
410×associate-/r*
372×associate-/l*
344×associate-*l*
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01229
12029
23129
34729
46329
58429
614129
723825
835825
952925
1070625
1197025
12129025
13221625
14289325
15375925
16378525
17383125
18387125
19387125
Stop Event
saturated
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler

Compiled 59 to 48 computations (18.6% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New336
Fresh011
Picked000
Done000
Total347
Error
0.0b
Counts
7 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
0.2b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Compiler

Compiled 33 to 28 computations (15.2% saved)

localize15.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
0.0b
(/.f64 2 (-.f64 1 x))
0.0b
(*.f64 (/.f64 2 (-.f64 1 x)) x)
Compiler

Compiled 38 to 29 computations (23.7% saved)

series4.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite101.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
1150×associate-*r/
892×*-commutative
822×associate-*l/
638×unswap-sqr
602×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01055
121055
2257455
Stop Event
node limit
Counts
3 → 177
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 2 (-.f64 1 x))
(log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))
Outputs
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simplify107.0ms (4.5%)

Algorithm
egg-herbie
Rules
1340×distribute-lft-in
1286×distribute-rgt-in
894×associate-/l*
578×+-commutative
522×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05047239
113656425
253976425
Stop Event
node limit
Counts
213 → 314
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 x (fma.f64 2 (fma.f64 x x x) 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (*.f64 x (fma.f64 2 (fma.f64 x x x) 2)) (*.f64 2 (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2))
(+.f64 2 (*.f64 2 (fma.f64 x x x)))
(fma.f64 2 (fma.f64 x x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 2 (pow.f64 x 3) (+.f64 2 (*.f64 2 (fma.f64 x x x))))
(+.f64 2 (*.f64 x (fma.f64 2 (fma.f64 x x x) 2)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (log.f64 -1)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)) 1) (*.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)) x))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
(+.f64 (*.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)) x) (*.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)) 1))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
(+.f64 (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1) (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (fma.f64 x x x)) (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) 1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) x))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x))) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
(+.f64 (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x))) (*.f64 1 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(/.f64 (fma.f64 2 x 2) (-.f64 (/.f64 1 x) x))
(+.f64 (*.f64 1 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 1 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))) (*.f64 x (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 x (/.f64 (fma.f64 2 (fma.f64 x x x) 2) (-.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (/.f64 (-.f64 1 x) (*.f64 2 x)))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1/2 (/.f64 x 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1/2 (/.f64 x 2))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1/2 (/.f64 x 2))))
(/.f64 (cbrt.f64 x) (/.f64 (-.f64 1/2 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1/2 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1/2 (/.f64 x 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1/2 (/.f64 x 2)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1/2 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1/2 (/.f64 x 2)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (neg.f64 x) (*.f64 (-.f64 1 x) -1/2))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 -2 (/.f64 (+.f64 x -1) x))
(*.f64 (/.f64 -2 (+.f64 x -1)) x)
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(/.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) (sqrt.f64 (*.f64 2 x)))
(*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 (*.f64 2 x))) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))))
(/.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 2 x))) (cbrt.f64 (*.f64 2 x))))
(/.f64 (cbrt.f64 (*.f64 2 x)) (/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 2 x)) (cbrt.f64 (*.f64 2 x)))))
(/.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1/2 (/.f64 x 2))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1/2 (/.f64 x 2))))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (-.f64 1/2 (/.f64 x 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1/2 (/.f64 x 2)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 x 2))))
(/.f64 x (/.f64 (sqrt.f64 (-.f64 1/2 (/.f64 x 2))) (sqrt.f64 (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1/2 (/.f64 x 2)))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(/.f64 (/.f64 x (-.f64 1 x)) 1/2)
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (*.f64 x -2) (+.f64 x -1))
(*.f64 (/.f64 -2 (+.f64 x -1)) x)
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(/.f64 (/.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))
(/.f64 2 (+.f64 (/.f64 1 x) -1))
(/.f64 (/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 2 (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 x (sqrt.f64 (-.f64 1 x)))))
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(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(fabs.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
0.2b
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
Compiler

Compiled 38 to 32 computations (15.8% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1138×associate-*r/
858×*-commutative
722×associate-*l/
616×associate-/r*
568×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
122042
2271742
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 2 (-.f64 -1 (/.f64 -1 x)))
(log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x))))
Outputs
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(+.f64 2 (*.f64 2 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 -1 (pow.f64 (/.f64 1 x) 3))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 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(/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))))

simplify93.0ms (3.9%)

Algorithm
egg-herbie
Rules
1270×fma-def
872×unswap-sqr
736×distribute-lft-in
720×+-commutative
648×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02453586
16653266
221393232
368123232
Stop Event
node limit
Counts
98 → 159
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 0)
(+.f64 1 (-.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (/.f64 -1 x)) (*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) -1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 (+.f64 1 (/.f64 1 x)) x)) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1))
(+.f64 (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 1 (*.f64 x x)))) (*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x)))
(+.f64 (*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (*.f64 (/.f64 -1 x) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 -1 x) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (*.f64 -1 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x))))))
(+.f64 (*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (*.f64 (/.f64 1 x) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1) 1)
(*.f64 2 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(*.f64 1 (/.f64 2 (+.f64 -1 (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 -1 x) 1)) 2)
(*.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -2 (/.f64 -1 (+.f64 -1 (/.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (/.f64 2 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (*.f64 x x)))) (+.f64 -2 (*.f64 2 (/.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 1 (pow.f64 x 3)))) (+.f64 2 (*.f64 2 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 1 x))) -2)
(*.f64 (/.f64 2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 1 (/.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 2 (+.f64 -1 (pow.f64 (/.f64 1 x) 3))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 -2 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (+.f64 -1 (/.f64 -1 x)))
(*.f64 (/.f64 -2 (+.f64 1 (/.f64 -1 (pow.f64 x 3)))) (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (sqrt.f64 (+.f64 -1 (/.f64 -1 x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1 (/.f64 1 x)) x))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (/.f64 -1 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3) 1/3)
(pow.f64 (-.f64 -1/2 (/.f64 -1 (*.f64 2 x))) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 -1 (/.f64 1 x)) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(exp.f64 (-.f64 (log.f64 -2) (log1p.f64 (/.f64 -1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) 1)
(*.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (*.f64 x (+.f64 (fma.f64 x x 1) x)))
(*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (*.f64 x (+.f64 (fma.f64 x x 1) x)) (pow.f64 x 4)))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (*.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
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(*.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))))))
(pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 1)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 2)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))) 3)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 2))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))) 1))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x)))) 3))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))
(exp.f64 (log.f64 (log1p.f64 (/.f64 2 (+.f64 -1 (/.f64 1 x))))))
(log1p.f64 (/.f64 2 (+.f64 (/.f64 1 x) -1)))

localize15.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0b
(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 36 to 27 computations (25% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1342×associate-/r*
1300×associate-*r/
1126×associate-/l*
950×*-commutative
922×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
120942
2269342
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (*.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))))))

simplify73.0ms (3.1%)

Algorithm
egg-herbie
Rules
1054×distribute-lft-in
1050×associate-/r*
998×distribute-rgt-in
948×unswap-sqr
638×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02884158
18773608
232383594
Stop Event
node limit
Counts
124 → 192
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 1 (-.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1))
(+.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 0)
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (*.f64 2 x) (/.f64 -1 (+.f64 -1 x)))
(*.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (+.f64 x 1) (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)))
(*.f64 (/.f64 -1 (+.f64 -1 x)) (*.f64 2 x))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) (sqrt.f64 (*.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)) (/.f64 (sqrt.f64 (*.f64 2 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1))
(*.f64 (/.f64 x 1/2) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (*.f64 x x)) x)) (+.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 2 x) (+.f64 x 1)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 2 x) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x -2))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (cbrt.f64 (-.f64 1 x))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (*.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (fma.f64 x x x))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (*.f64 x (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 x 1/2) 1) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (-.f64 1 x)) (cbrt.f64 (*.f64 2 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) 2)) x)
(*.f64 (/.f64 2 (+.f64 -1 x)) (neg.f64 x))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))
(*.f64 (/.f64 (*.f64 2 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))) (cbrt.f64 (*.f64 2 x)))
(*.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(*.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 x 1/2) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))
(*.f64 (/.f64 (/.f64 x 1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 x) (*.f64 x -2)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(+.f64 (*.f64 2 (+.f64 x (pow.f64 x 4))) (*.f64 x (*.f64 2 (fma.f64 x x x))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (*.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 3)) -2))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 3)) -2))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
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(*.f64 (/.f64 (/.f64 x 1/2) 1) (/.f64 -1 (+.f64 -1 x)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x 1/2))
(/.f64 (/.f64 (neg.f64 x) (+.f64 x -1)) 1/2)
(/.f64 x (*.f64 -1/2 (+.f64 x -1)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 2 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (-.f64 1 x)) (cbrt.f64 (*.f64 2 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) 2)) x)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 2 (+.f64 -1 x)) (neg.f64 x))
(*.f64 2 (*.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 2 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 2 (cbrt.f64 x)) (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 2 (-.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 (neg.f64 x) -1))
(/.f64 (fma.f64 x x x) (/.f64 (+.f64 -1 (*.f64 x x)) -2))
(/.f64 (/.f64 (fma.f64 x x x) 1/2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) x)) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) -1) x)))
(/.f64 (*.f64 x (+.f64 -2 (*.f64 -2 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (*.f64 2 x) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 2 (fma.f64 x x x)) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 2 x) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (*.f64 2 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 2 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (fma.f64 x x x)))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 2))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2))) (cbrt.f64 (*.f64 2 x)))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 (neg.f64 x) -1))
(/.f64 (fma.f64 x x x) (/.f64 (+.f64 -1 (*.f64 x x)) -2))
(/.f64 (/.f64 (fma.f64 x x x) 1/2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) x)) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) -1) x)))
(/.f64 (*.f64 x (+.f64 -2 (*.f64 -2 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 x 1)))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (-.f64 -1 x) (/.f64 (/.f64 x 1/2) (+.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 x -1/2) (/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 x 1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (/.f64 x 1/2) (+.f64 -1 (neg.f64 (fma.f64 x x x)))) (neg.f64 (-.f64 1 (pow.f64 x 3))))
(*.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 (/.f64 x 1/2) (+.f64 (pow.f64 x 3) -1)))
(*.f64 (/.f64 (/.f64 x 1/2) (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 x 1))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) x)) (+.f64 (neg.f64 x) -1))
(/.f64 (fma.f64 x x x) (/.f64 (+.f64 -1 (*.f64 x x)) -2))
(/.f64 (/.f64 (fma.f64 x x x) 1/2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (/.f64 x 1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (/.f64 2 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) x)) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 -2 (/.f64 (+.f64 (pow.f64 x 3) -1) x)))
(/.f64 (*.f64 x (+.f64 -2 (*.f64 -2 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 2 x) (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 2 (/.f64 x (sqrt.f64 (-.f64 1 x)))) (hypot.f64 1 (pow.f64 (neg.f64 x) 3/2))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (*.f64 (/.f64 2 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))) x) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 2 x) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 2 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) x) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 2 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) x)) (cbrt.f64 (+.f64 x 1)))
(*.f64 (*.f64 (/.f64 2 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) x) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(pow.f64 (/.f64 (+.f64 -1 x) (*.f64 x -2)) -1)
(*.f64 2 (*.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(*.f64 2 (*.f64 x (/.f64 -1 (+.f64 x -1))))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 2))
(fabs.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(fabs.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (fma.f64 x (/.f64 2 (-.f64 1 x)) -1))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 2))
(fabs.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(fabs.f64 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))

eval412.0ms (17.2%)

Compiler

Compiled 12287 to 9830 computations (20% saved)

prune137.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6623665
Fresh000
Picked011
Done022
Total6626668
Error
0b
Counts
668 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
32.4b
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x)))))
0.0b
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
0.2b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
2.1b
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
64.0b
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 62 to 53 computations (14.5% saved)

localize4.0ms (0.2%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize8.0ms (0.3%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize27.0ms (1.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x))))
0.1b
(/.f64 (/.f64 1 x) x)
32.5b
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x)))
Compiler

Compiled 72 to 55 computations (23.6% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite94.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
1630×associate-/l*
944×associate-/r/
780×associate-/l/
732×distribute-lft-in
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491
131073
2406073
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x)))
(/.f64 (/.f64 1 x) x)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x))))
Outputs
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simplify82.0ms (3.4%)

Algorithm
egg-herbie
Rules
1014×associate-/r*
682×associate-+l+
652×associate-+r+
584×+-commutative
434×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03325598
19234714
239024704
Stop Event
node limit
Counts
146 → 202
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 1 (-.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 1))
(+.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 0)
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x -2))) 2) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x -2))) (/.f64 2 x)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x -2))) (/.f64 2 x)) (*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x -2))) 2))
(+.f64 (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) -1) (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) (neg.f64 (pow.f64 x -2))))
(+.f64 (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) -1) (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x -2) 2))) (cbrt.f64 (pow.f64 x -2)))))
(+.f64 (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) 1) (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2))))
(+.f64 (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (pow.f64 x -2) (pow.f64 (pow.f64 x -2) 2))) (*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) 1))
(-.f64 (+.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1)
(*.f64 (+.f64 2 (/.f64 2 x)) (/.f64 -1 (-.f64 1 (pow.f64 x -2))))
(*.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (*.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2) (*.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x -2))) (+.f64 2 (/.f64 2 x)))
(*.f64 (-.f64 -2 (/.f64 2 x)) (/.f64 1 (-.f64 1 (pow.f64 x -2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (/.f64 (+.f64 2 (/.f64 2 x)) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (/.f64 (+.f64 2 (/.f64 2 x)) (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) (-.f64 -1 (pow.f64 x -2)))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 x -2) 2))) (*.f64 (+.f64 2 (/.f64 2 x)) (-.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3))) (*.f64 (+.f64 2 (/.f64 2 x)) (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x -2))) (-.f64 -2 (/.f64 2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (+.f64 -1 (pow.f64 x -2))) (sqrt.f64 (+.f64 2 (/.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 x))) (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2) (+.f64 -1 (pow.f64 x -2))) (cbrt.f64 (+.f64 2 (/.f64 2 x))))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (neg.f64 (-.f64 1 (pow.f64 (pow.f64 x -2) 2)))) (neg.f64 (-.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 (pow.f64 (pow.f64 x -2) 2) 1)) (-.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 1 (/.f64 (+.f64 -1 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 x))) 2))) (cbrt.f64 (+.f64 2 (/.f64 2 x))))
(*.f64 (/.f64 (-.f64 -2 (/.f64 2 x)) (neg.f64 (-.f64 1 (pow.f64 (pow.f64 x -2) 2)))) (-.f64 -1 (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 -2 (/.f64 2 x)) (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (pow.f64 x -2))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))) (-.f64 4 (*.f64 4 (pow.f64 x -2)))) (+.f64 2 (/.f64 2 x)))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 4 (pow.f64 x -2))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))) (-.f64 8 (/.f64 8 (pow.f64 x 3)))) (+.f64 4 (+.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (/.f64 8 (pow.f64 x 3))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))) (-.f64 16 (*.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x)) (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x))))) (-.f64 4 (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x))))
(*.f64 (/.f64 (*.f64 (+.f64 8 (/.f64 8 (pow.f64 x 3))) (/.f64 -1 (-.f64 1 (pow.f64 x -2)))) (+.f64 64 (pow.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x)) 3))) (-.f64 (+.f64 16 (*.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x)) (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x)))) (*.f64 4 (-.f64 (*.f64 4 (pow.f64 x -2)) (/.f64 4 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2))))
(*.f64 (/.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 x -2) 2)))) (sqrt.f64 (-.f64 -1 (pow.f64 x -2))))
(*.f64 (/.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (pow.f64 x -2) 2)) (pow.f64 x -2))))
(*.f64 (/.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 x -2) 2)))) (cbrt.f64 (-.f64 -1 (pow.f64 x -2))))
(pow.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 (pow.f64 x -2)) (+.f64 2 (/.f64 2 x))) -1)
(neg.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (-.f64 1 (pow.f64 x -2))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (/.f64 2 x)) 3) (pow.f64 (+.f64 -1 (pow.f64 x -2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (pow.f64 x -2) 2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x -2) 2)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (neg.f64 (pow.f64 x -2)) -1)
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(neg.f64 (neg.f64 (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(*.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 1))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x))
(*.f64 2 (+.f64 (*.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(*.f64 2 (+.f64 x (*.f64 x (fma.f64 x x x))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 3) (*.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 x (pow.f64 x 4)) (*.f64 x (fma.f64 x x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 -2 (/.f64 2 x))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (fma.f64 2 (pow.f64 x -2) (/.f64 2 x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
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(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 1 (cbrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (sqrt.f64 x))))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (neg.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))) 1)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 1 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 1)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 2)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 3)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 3) 1/3)
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 2))
(fabs.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(log.f64 (+.f64 1 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2)))) 3))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))) 1))
(log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (pow.f64 x -2))))

eval93.0ms (3.9%)

Compiler

Compiled 4574 to 3878 computations (15.2% saved)

prune29.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2020202
Fresh000
Picked011
Done055
Total2026208
Error
0b
Counts
208 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
32.4b
(*.f64 1/2 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 x)) (+.f64 -1 (/.f64 (/.f64 1 x) x)))))
0.0b
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
0.2b
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
0.0b
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
2.1b
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
64.0b
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 62 to 53 computations (14.5% saved)

regimes23.0ms (1%)

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

4 calls:

5.0ms
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
4.0ms
(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
0.0b1(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0b1(/.f64 (*.f64 2 x) (-.f64 1 x))
Compiler

Compiled 87 to 71 computations (18.4% saved)

regimes5.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 -2))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (/.f64 2 (-.f64 -1 (/.f64 -1 x)))))
Outputs
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
Compiler

Compiled 33 to 28 computations (15.2% saved)

regimes6.0ms (0.2%)

Accuracy

Total -61.9b remaining (-2978.1%)

Threshold costs -61.9b (-2978.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
2.1b1x
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
13186
23586
33786
43886
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Outputs
(*.f64 1/2 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(*.f64 1/2 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (*.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))
Compiler

Compiled 34 to 29 computations (14.7% saved)

soundness0.0ms (0%)

end31.0ms (1.3%)

Compiler

Compiled 31 to 26 computations (16.1% saved)

Profiling

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