Details

Time bar (total: 4.6s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (24.9%)

Results
1.1s8256×body256valid
2.0ms19×body256invalid
Bogosity

preprocess152.0ms (3.3%)

Algorithm
egg-herbie
Rules
1222×+-commutative
1114×distribute-lft-in
1034×*-commutative
966×distribute-rgt-in
904×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
22839
33939
45539
59239
614639
732239
888439
9180939
10320339
11528739
12633539
13675139
14703939
15717539
16725239
17754739
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify159.0ms (3.4%)

Algorithm
egg-herbie
Rules
1222×+-commutative
1114×distribute-lft-in
1034×*-commutative
966×distribute-rgt-in
904×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
12039
22839
33939
45539
59239
614639
732239
888439
9180939
10320339
11528739
12633539
13675139
14703939
15717539
16725239
17754739
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

eval0.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.4%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.01%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.02%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.38%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 53 to 29 computations (45.3% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite116.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1702×associate-/r*
976×associate-/l*
714×distribute-lft-in
558×associate-/r/
302×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012114
1261114
23680114
Stop Event
node limit
Counts
4 → 285
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Outputs
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simplify166.0ms (3.6%)

Algorithm
egg-herbie
Rules
976×associate-*r*
782×associate-*l*
652×associate-/r*
588×*-commutative
520×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080218931
1213916987
Stop Event
node limit
Counts
333 → 509
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
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(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (*.f64 x x))))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) 1)) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 x)) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (*.f64 x x))))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (neg.f64 x) 1)) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (neg.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
(/.f64 (/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) 1) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (*.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (*.f64 x x))))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (*.f64 (neg.f64 x) 1)) x)
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (*.f64 x -1)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 1) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (neg.f64 x)) x)
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (*.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (*.f64 x x))))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (*.f64 (neg.f64 x) 1)) x)
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (*.f64 (neg.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 x)) (*.f64 (neg.f64 x) -1)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 x)) x)
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) -1) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (neg.f64 (*.f64 x x)))) (sqrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (cbrt.f64 (neg.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (*.f64 x x))))) (cbrt.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) 1)) x)
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1)
(pow.f64 (hypot.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 x (*.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
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(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (pow.f64 x -1))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (/.f64 1 x))

eval203.0ms (4.4%)

Compiler

Compiled 12992 to 8520 computations (34.4% saved)

prune76.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5054509
Fresh000
Picked011
Done000
Total5055510
Error
0%
Counts
510 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.05%
(-.f64 (log.f64 2) (log.f64 x))
0.4%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
1.12%
(log.f64 (/.f64 2 x))
0.4%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.65%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 48 to 37 computations (22.9% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.38%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0.1%)

Counts
2 → 15
Calls

6 calls:

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

rewrite81.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1006×*-commutative
934×associate-*r/
762×unswap-sqr
610×swap-sqr
570×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
124934
2298834
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Outputs
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simplify101.0ms (2.2%)

Algorithm
egg-herbie
Rules
1798×associate-/r*
1490×associate-*r/
1218×associate-*l/
652×+-commutative
460×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03796930
110396346
242066338
Stop Event
node limit
Counts
138 → 241
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (-.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 x) 3) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/2 x) 3)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) 1) (fma.f64 -1/2 x (/.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 4)) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (*.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (log.f64 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (log.f64 x) (/.f64 -4 (*.f64 x x))) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 64/3 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 8 (pow.f64 x 4))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 0)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 1 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))))) (log.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(-.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))))) (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (cbrt.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 16 (*.f64 (pow.f64 x -2) (pow.f64 x -2)))) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) 4)))
(/.f64 (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 -16 (pow.f64 x -4))) (*.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 (*.f64 x x) 1/4 (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 1/16 (pow.f64 x 4) (*.f64 (pow.f64 x -4) -16)) (*.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 x (*.f64 x 1/4) (*.f64 4 (pow.f64 x -2)))))
(/.f64 (fma.f64 1/16 (pow.f64 x 4) (*.f64 (pow.f64 x -4) -16)) (*.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (*.f64 (pow.f64 x -2) 4) 3)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x)))) (+.f64 (*.f64 1/16 (*.f64 x (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 x -2) 4) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (pow.f64 (*.f64 4 (pow.f64 x -2)) 3)) (*.f64 (fma.f64 -1/2 x (/.f64 -2 x)) (fma.f64 1/16 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 4 (pow.f64 x -2)) (fma.f64 (*.f64 x x) 1/4 (*.f64 4 (pow.f64 x -2)))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/64 (*.f64 (pow.f64 (pow.f64 x -2) 3) -64)) (*.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) (*.f64 4 (fma.f64 x (*.f64 x 1/4) (*.f64 4 (pow.f64 x -2)))) (*.f64 1/16 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/64 (*.f64 (pow.f64 (pow.f64 x -2) 3) -64)) (*.f64 (fma.f64 x -1/2 (/.f64 -2 x)) (fma.f64 (pow.f64 x -2) (*.f64 4 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/4))) (*.f64 1/16 (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (-.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x))))) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/64 (/.f64 (neg.f64 (/.f64 64 (pow.f64 x 3))) (pow.f64 x 3))) (*.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/64 (/.f64 (/.f64 -64 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))) (fma.f64 -1/8 (pow.f64 x 3) (/.f64 -8 (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 x) 3) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (pow.f64 (*.f64 -1/2 x) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 x 3)) 3) (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))) (fma.f64 (pow.f64 x 6) 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (-.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 3)))))))
(/.f64 (+.f64 (*.f64 -1/512 (pow.f64 (pow.f64 x 3) 3)) (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))) (fma.f64 (pow.f64 x 6) 1/64 (*.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/8) 3) (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))) (fma.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/64))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) 1) (fma.f64 -1/2 x (/.f64 -2 x)))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x)))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 -2 x))))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (+.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (/.f64 2 x))))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)) (+.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x)))) (-.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (pow.f64 x -2) -4)) (neg.f64 (fma.f64 -1/2 x (/.f64 -2 x)))))
(*.f64 (fma.f64 (*.f64 x x) 1/4 (*.f64 (pow.f64 x -2) -4)) (/.f64 1 (fma.f64 -1/2 x (/.f64 -2 x))))
(/.f64 (fma.f64 x (*.f64 x 1/4) (*.f64 (pow.f64 x -2) -4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(/.f64 (fma.f64 (pow.f64 x -2) -4 (*.f64 (*.f64 x x) 1/4)) (fma.f64 x -1/2 (/.f64 -2 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x (/.f64 -2 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) 1) (fma.f64 (pow.f64 x -2) 4 (*.f64 (*.f64 x -1/2) (fma.f64 -1/2 x (/.f64 -2 x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 8 (pow.f64 x 3))) (fma.f64 4 (pow.f64 x -2) (*.f64 (*.f64 x -1/2) (fma.f64 x -1/2 (/.f64 -2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(fabs.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 4)) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (*.f64 x -1/2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.38%
(log.f64 (/.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series40.0ms (0.9%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@0
(log.f64 (/.f64 2 x))
13.0ms
x
@-inf
(log.f64 (/.f64 2 x))
8.0ms
x
@inf
(log.f64 (/.f64 2 x))

rewrite52.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1322×add-sqr-sqrt
1300×*-un-lft-identity
1212×add-cube-cbrt
1200×add-cbrt-cube
1186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2164211
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))))

simplify63.0ms (1.3%)

Algorithm
egg-herbie
Rules
1046×associate-+l-
940×*-commutative
920×associate-*r*
900×associate-+r-
728×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083571
1172571
2641571
33640571
46375571
Stop Event
node limit
Counts
37 → 33
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 x x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.01%
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
0.01%
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.38%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
Compiler

Compiled 46 to 26 computations (43.5% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite462.0ms (10%)

Algorithm
batch-egg-rewrite
Rules
1408×associate-*r/
1088×associate-*l/
1020×*-commutative
920×associate-/r*
716×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01185
123383
2317283
Stop Event
node limit
Counts
3 → 162
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (log.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (-.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x -1)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x) 2) (+.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 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x)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))))

simplify124.0ms (2.7%)

Algorithm
egg-herbie
Rules
1190×associate-/r/
1180×associate-+l+
892×+-commutative
748×associate-+r+
462×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04609172
111798556
245388544
Stop Event
node limit
Counts
198 → 334
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 0)
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 x -1)))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (log.f64 (pow.f64 x -1))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (-.f64 (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 x -1)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (*.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (pow.f64 x -1))))
(-.f64 (*.f64 (log.f64 x) 2) (-.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x))))
(-.f64 (*.f64 (log.f64 x) 2) (+.f64 (log.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x)))
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (-.f64 (log.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (pow.f64 x -1))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (/.f64 1 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (/.f64 (*.f64 x x) 1) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 x (*.f64 x -1/4)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))))
(+.f64 (*.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (-.f64 (*.f64 -3/32 (pow.f64 x 4)) (log.f64 x))) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 x) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (-.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 (/.f64 1 (sqrt.f64 -1)) x)))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (*.f64 3/40 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/16)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x -1/2 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 x (*.f64 x -1/2))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) 2) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) -1/16)))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 1 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))))
(+.f64 1 (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))))
(+.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 0)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (pow.f64 x -1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 0 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (pow.f64 x -1))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (neg.f64 (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
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(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 (/.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (neg.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) 0) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))) (neg.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 1 (+.f64 (neg.f64 (*.f64 x x)) 0)) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x)
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/4)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/4)) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (cbrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) 1) (neg.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x x)) 0) 1) (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) x)
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/4)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/4)) (sqrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (/.f64 (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (cbrt.f64 (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 2 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (/.f64 (-.f64 2 (*.f64 x x)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 2 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (*.f64 (-.f64 2 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (-.f64 1 (*.f64 x x)))) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (*.f64 (-.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 2) (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (*.f64 (+.f64 1 (*.f64 (-.f64 2 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 3)) (/.f64 1 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (/.f64 1 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (/.f64 1 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (*.f64 (/.f64 1 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (*.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (/.f64 (*.f64 x x) 1) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 x x) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) 1) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))) (cbrt.f64 (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 (-.f64 2 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3) 1/3)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 2))
(fabs.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1)
(+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/2))
(fma.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.33%
(-.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series60.0ms (1.3%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
15.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
5.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite57.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1654×add-sqr-sqrt
1632×*-un-lft-identity
1528×add-cube-cbrt
1512×add-cbrt-cube
164×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116411
2204511
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))))))

simplify58.0ms (1.3%)

Algorithm
egg-herbie
Rules
1348×associate-+r+
1136×associate-*r*
890×associate-*l*
822×associate-+l+
552×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01111093
12871005
210871005
348531005
Stop Event
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (log.f64 (/.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 x))))
(log.f64 (/.f64 2 x))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (log.f64 (/.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (log.f64 (/.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 2) (neg.f64 (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (log.f64 (/.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log.f64 2) (neg.f64 (log.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (log.f64 (/.f64 2 x)) (/.f64 (log.f64 (*.f64 2 x)) (log.f64 (*.f64 2 x))))
(*.f64 (log.f64 (*.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (*.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log.f64 2) 2)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))

eval348.0ms (7.5%)

Compiler

Compiled 14992 to 10946 computations (27% saved)

prune208.0ms (4.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7122714
Fresh000
Picked101
Done044
Total7136719
Error
0%
Counts
719 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
1.12%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.72%
(neg.f64 (log.f64 (*.f64 x 1/2)))
0.4%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
1.12%
(log.f64 (/.f64 2 x))
0.4%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.65%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 57 to 45 computations (21.1% saved)

localize8.0ms (0.2%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.38%
(log.f64 (/.f64 2 x))
Compiler

Compiled 25 to 20 computations (20% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite101.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1252×associate-*r/
926×associate-*l/
770×*-commutative
682×distribute-lft-in
648×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121811
2284711
Stop Event
node limit
Counts
1 → 116
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1 (log.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (log.f64 (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 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simplify91.0ms (2%)

Algorithm
egg-herbie
Rules
1326×associate-*r/
1278×associate-/r*
1026×associate--r+
936×*-commutative
754×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03026186
18105932
235945920
Stop Event
node limit
Counts
128 → 173
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
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(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
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(*.f64 1 (log.f64 (/.f64 2 x)))
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(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 0 (log.f64 (/.f64 2 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 2 (log.f64 (/.f64 2 x)))))) (-.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 3) (pow.f64 (+.f64 2 (log.f64 (/.f64 2 x))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 2 (log.f64 (/.f64 2 x)))) (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 2 (log.f64 (/.f64 2 x)))))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (log.f64 (/.f64 2 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (/.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (/.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))) (/.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))) (/.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) (+.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) 1) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x))) 1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 3) 1) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (neg.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)))) (+.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (*.f64 1 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x))) 1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))) (neg.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) 1) (+.f64 (+.f64 1 (log.f64 (*.f64 x 1/2))) 1))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) 1) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) 1) (neg.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) 1) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (sqrt.f64 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (sqrt.f64 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) 1) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 3) 1) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) 1) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 x)) 0))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 x)) 0))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 1 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 1 (neg.f64 (log.f64 x))))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 (log.f64 (/.f64 1 x)) 1))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(log.f64 (/.f64 2 x))
(+.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
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(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (log.f64 (/.f64 2 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) 1) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (log.f64 (/.f64 2 x))) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (log.f64 (/.f64 2 x)))) (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (-.f64 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (log.f64 (/.f64 2 x)))) (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) 1) (neg.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 2 x))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) 1) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (-.f64 -2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (sqrt.f64 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (/.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (sqrt.f64 (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (sqrt.f64 (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (sqrt.f64 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (/.f64 (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))) (sqrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2)) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) 1) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 4) -1) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 4)) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 3) 1) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) 3) -1) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 4) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6)) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 4)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6)) (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6) -1) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3) 1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3) -1) (*.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 3)) (*.f64 (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) 1) (+.f64 2 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x))))) (sqrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 2 x))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))) (cbrt.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 2 x))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) 1) (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (-.f64 -2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (-.f64 -2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))) (cbrt.f64 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (-.f64 -2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(fabs.f64 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log.f64 (+.f64 (/.f64 2 x) 0))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))

eval132.0ms (2.8%)

Compiler

Compiled 4858 to 4241 computations (12.7% saved)

prune211.0ms (4.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2060206
Fresh000
Picked011
Done055
Total2066212
Error
0%
Counts
212 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
1.12%
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
0.72%
(neg.f64 (log.f64 (*.f64 x 1/2)))
0.4%
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
1.12%
(log.f64 (/.f64 2 x))
0.4%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.65%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes243.0ms (5.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

231.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
x
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Results
ErrorSegmentsBranch
0.4%1x
0.4%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.4%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 86 to 63 computations (26.7% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.4%1x
Compiler

Compiled 46 to 36 computations (21.7% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.65%1x
Compiler

Compiled 35 to 28 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.3b remaining (-55%)

Threshold costs -0.3b (-55%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.72%1x
Compiler

Compiled 20 to 16 computations (20% saved)

simplify18.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027127
143127
252127
357127
459127
Stop Event
done
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 48 to 37 computations (22.9% saved)

soundness0.0ms (0%)

end37.0ms (0.8%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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